153:@0.890754:0.963104:0.932133:0.963104:0.932133:0.941283:0.890754:0.941283:0.000000:0.000000:0.000000
Matemática:@0.795130:0.956142:0.879896:0.956142:0.879896:0.943479:0.795130:0.943479:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2.º BG:@0.837761:0.967458:0.879897:0.967458:0.879897:0.954794:0.837761:0.954794:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cción y expresión:@0.117728:0.090870:0.242599:0.090870:0.242599:0.075506:0.117728:0.075506:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.096132:0.091656:0.108221:0.091656:0.108221:0.074520:0.096132:0.074520:0.000000
Ejemplos paso a paso:@0.096359:0.116969:0.251252:0.116969:0.251252:0.101605:0.096359:0.101605:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1.:@0.096359:0.144572:0.110585:0.144572:0.110585:0.127671:0.096359:0.127671:0.000000:0.000000
  Respondamos las preguntas del problema inicial.:@0.110585:0.144572:0.483832:0.144572:0.483832:0.128183:0.110585:0.128183:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a):@0.124848:0.164737:0.139756:0.164737:0.139756:0.147836:0.124848:0.147836:0.000000:0.000000
  Halla la ecuación general de la trayectoria de ambos barcos.:@0.139756:0.164737:0.590693:0.164737:0.590693:0.148348:0.139756:0.148348:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2.:@0.096359:0.556964:0.110585:0.556964:0.110585:0.540064:0.096359:0.540064:0.000000:0.000000
  Dada la ecuación de la recta   2  + 3  = 2. Determinemos la ecuación de la recta :@0.110585:0.556964:0.716489:0.556955:0.716489:0.540567:0.110585:0.540575:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
L x:@0.333302:0.556964:0.366419:0.556955:0.366419:0.540594:0.333302:0.540603:0.000000:0.000000:0.000000
1:@0.340962:0.560119:0.346205:0.560119:0.346205:0.550564:0.340962:0.550564:0.000000
y:@0.393913:0.556955:0.401395:0.556955:0.401395:0.540594:0.393913:0.540594:0.000000
L:@0.124851:0.573552:0.132480:0.573552:0.132480:0.557191:0.124851:0.557191:0.000000
2:@0.132480:0.576716:0.137723:0.576716:0.137723:0.567161:0.132480:0.567161:0.000000
 que pasa por el punto   (– 2, 2) y es perpendicular a  .:@0.137722:0.573552:0.541879:0.573552:0.541879:0.557163:0.137722:0.557163:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
C:@0.307898:0.573552:0.317812:0.573552:0.317812:0.557191:0.307898:0.557191:0.000000
L:@0.525803:0.573552:0.533432:0.573552:0.533432:0.557191:0.525803:0.557191:0.000000
1:@0.533431:0.576716:0.538673:0.576716:0.538673:0.567161:0.533431:0.567161:0.000000
3.:@0.096354:0.862688:0.110580:0.862688:0.110580:0.845788:0.096354:0.845788:0.000000:0.000000
  Determinemos si las rectas  son perpendiculares.:@0.110580:0.862688:0.481447:0.862688:0.481447:0.846299:0.110580:0.846299:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b):@0.124843:0.443865:0.141059:0.443865:0.141059:0.426964:0.124843:0.426964:0.000000:0.000000
  Determina si las trayectorias son paralelas, coincidentes o secantes.:@0.141059:0.443865:0.642910:0.443865:0.642910:0.427476:0.141059:0.427476:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Paso 1.:@0.102215:0.189005:0.154466:0.189005:0.154466:0.173427:0.102215:0.173427:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 A partir del vector velocidad, que es el vector de dirección, hallemos la pendiente :@0.154466:0.189005:0.703097:0.189005:0.703097:0.174106:0.154466:0.174106:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de cada trayectoria.:@0.102215:0.204093:0.232313:0.204093:0.232313:0.189194:0.102215:0.189194:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
v:@0.104194:0.234072:0.111160:0.234072:0.111160:0.219347:0.104194:0.219347:0.000000
m:@0.196638:0.234072:0.209806:0.234072:0.209806:0.219347:0.196638:0.219347:0.000000
v:@0.300385:0.234072:0.307350:0.234072:0.307350:0.219347:0.300385:0.219347:0.000000
m:@0.394620:0.234072:0.407788:0.234072:0.407788:0.219347:0.394620:0.219347:0.000000
A:@0.112439:0.235875:0.117601:0.235875:0.117601:0.227341:0.112439:0.227341:0.000000
B:@0.308066:0.235875:0.312679:0.235875:0.312679:0.227341:0.308066:0.227341:0.000000
:@0.105466:0.223909:0.118585:0.223909:0.118585:0.209457:0.105466:0.209457:0.000000:0.000000
:@0.109844:0.223909:0.116644:0.223909:0.116644:0.209457:0.109844:0.209457:0.000000
:@0.301649:0.223909:0.314054:0.223909:0.314054:0.209457:0.301649:0.209457:0.000000:0.000000
=:@0.122474:0.234682:0.131579:0.234682:0.131579:0.220666:0.122474:0.220666:0.000000
− →:@0.154981:0.234682:0.194021:0.234682:0.194021:0.220666:0.154981:0.220666:0.000000:0.000000:0.000000
=:@0.216428:0.234682:0.225533:0.234682:0.225533:0.220666:0.216428:0.220666:0.000000
−:@0.229994:0.226790:0.239099:0.226790:0.239099:0.212774:0.229994:0.212774:0.000000
=−:@0.248751:0.234682:0.270113:0.234682:0.270113:0.220666:0.248751:0.220666:0.000000:0.000000
=−:@0.317960:0.234682:0.343750:0.234682:0.343750:0.220666:0.317960:0.220666:0.000000:0.000000
→:@0.375626:0.234682:0.391995:0.234682:0.391995:0.220666:0.375626:0.220666:0.000000
=:@0.419625:0.234682:0.428731:0.234682:0.428731:0.220666:0.419625:0.220666:0.000000
−:@0.433206:0.244441:0.442311:0.244441:0.442311:0.230425:0.433206:0.230425:0.000000
=−:@0.454267:0.234682:0.475629:0.234682:0.475629:0.220666:0.454267:0.220666:0.000000:0.000000
(,:@0.133930:0.234072:0.145954:0.234072:0.145954:0.219322:0.133930:0.219322:0.000000:0.000000
) 1:@0.170864:0.234072:0.173205:0.234072:0.173205:0.219322:0.170864:0.219322:0.000000:0.000000:0.000000
( 2:@0.329415:0.234072:0.351773:0.234072:0.351773:0.219322:0.329415:0.219322:0.000000:0.000000:0.000000
,):@0.351459:0.234072:0.373235:0.234072:0.373235:0.219322:0.351459:0.219322:0.000000:0.000000
1:@0.137597:0.234072:0.145691:0.234072:0.145691:0.219322:0.137597:0.219322:0.000000
1:@0.239031:0.226180:0.247124:0.226180:0.247124:0.211430:0.239031:0.211430:0.000000
1:@0.233764:0.243831:0.241857:0.243831:0.241857:0.229081:0.233764:0.229081:0.000000
1      :@0.270043:0.234072:0.300135:0.234072:0.300135:0.219322:0.270043:0.219322:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.360795:0.234072:0.368889:0.234072:0.368889:0.219322:0.360795:0.219322:0.000000
2:@0.437450:0.226180:0.445544:0.226180:0.445544:0.211430:0.437450:0.211430:0.000000
2:@0.442252:0.243831:0.450346:0.243831:0.450346:0.229081:0.442252:0.229081:0.000000
1:@0.475571:0.234072:0.483665:0.234072:0.483665:0.219322:0.475571:0.219322:0.000000
1:@0.208320:0.235875:0.213011:0.235875:0.213011:0.227327:0.208320:0.227327:0.000000
21:@0.406917:0.235875:0.416222:0.235875:0.416222:0.227327:0.406917:0.227327:0.000000:0.000000
;:@0.275506:0.234072:0.278392:0.234072:0.278392:0.219322:0.275506:0.219322:0.000000
 :@0.356606:0.234072:0.360239:0.234072:0.360239:0.219322:0.356606:0.219322:0.000000
Paso 2.:@0.102215:0.264534:0.154466:0.264534:0.154466:0.248956:0.102215:0.248956:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Conocidos los puntos de partida de ambas embarcaciones y las pendientes de la :@0.154466:0.264534:0.700383:0.264534:0.700383:0.249635:0.154466:0.249635:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
trayectoria, apliquemos la ecuación cartesiana de la recta. :@0.102215:0.279621:0.488519:0.279621:0.488519:0.264722:0.102215:0.264722:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Embarcación 1::@0.102215:0.301838:0.212446:0.301838:0.212446:0.286474:0.102215:0.286474:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.212446:0.301838:0.216115:0.301838:0.216115:0.286939:0.212446:0.286939:0.000000
P:@0.104712:0.324144:0.112607:0.324144:0.112607:0.309418:0.104712:0.309418:0.000000
m:@0.105226:0.342814:0.118395:0.342814:0.118395:0.328089:0.105226:0.328089:0.000000
y:@0.260760:0.324144:0.267494:0.324144:0.267494:0.309418:0.260760:0.309418:0.000000
x:@0.328708:0.324144:0.335425:0.324144:0.335425:0.309418:0.328708:0.309418:0.000000
x:@0.262410:0.342814:0.269127:0.342814:0.269127:0.328089:0.262410:0.328089:0.000000
y:@0.285778:0.342814:0.292512:0.342814:0.292512:0.328089:0.285778:0.328089:0.000000
23:@0.121157:0.324144:0.146349:0.324144:0.146349:0.309393:0.121157:0.309393:0.000000:0.000000
1:@0.146316:0.342814:0.154410:0.342814:0.154410:0.328064:0.146316:0.328064:0.000000
3:@0.282345:0.324144:0.290439:0.324144:0.290439:0.309393:0.282345:0.309393:0.000000
1:@0.314338:0.324144:0.322431:0.324144:0.322431:0.309393:0.314338:0.309393:0.000000
2:@0.350294:0.324144:0.358387:0.324144:0.358387:0.309393:0.350294:0.309393:0.000000
5:@0.308500:0.342814:0.316593:0.342814:0.316593:0.328064:0.308500:0.328064:0.000000
1:@0.116915:0.344618:0.121606:0.344618:0.121606:0.336070:0.116915:0.336070:0.000000
, :@0.128931:0.324144:0.137704:0.324144:0.137704:0.309393:0.128931:0.309393:0.000000:0.000000
          :@0.154372:0.332944:0.190693:0.332944:0.190693:0.318194:0.154372:0.318194:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
             :@0.213596:0.324144:0.260764:0.324144:0.260764:0.309393:0.213596:0.309393:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(:@0.114795:0.326600:0.120318:0.326600:0.120318:0.308688:0.114795:0.308688:0.000000
):@0.146887:0.326600:0.152410:0.326600:0.152410:0.308688:0.146887:0.308688:0.000000
=−:@0.125019:0.343424:0.146380:0.343424:0.146380:0.329409:0.125019:0.329409:0.000000:0.000000
→:@0.194095:0.333554:0.210464:0.333554:0.210464:0.319538:0.194095:0.319538:0.000000
−= −:@0.271181:0.324753:0.314390:0.324753:0.314390:0.310738:0.271181:0.310738:0.000000:0.000000:0.000000:0.000000
−:@0.339118:0.324753:0.348223:0.324753:0.348223:0.310738:0.339118:0.310738:0.000000
(:@0.321069:0.326600:0.326592:0.326600:0.326592:0.308688:0.321069:0.308688:0.000000
):@0.358899:0.326600:0.364422:0.326600:0.364422:0.308688:0.358899:0.308688:0.000000
+=:@0.272822:0.343424:0.305859:0.343424:0.305859:0.329409:0.272822:0.329409:0.000000:0.000000
Embarcación 2::@0.102215:0.371037:0.212446:0.371037:0.212446:0.355673:0.102215:0.355673:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
P:@0.104712:0.393343:0.112607:0.393343:0.112607:0.378618:0.104712:0.378618:0.000000
m:@0.109986:0.412014:0.123155:0.412014:0.123155:0.397289:0.109986:0.397289:0.000000
y:@0.270279:0.393343:0.277012:0.393343:0.277012:0.378618:0.270279:0.378618:0.000000
x:@0.338974:0.393343:0.345690:0.393343:0.345690:0.378618:0.338974:0.378618:0.000000
x:@0.271834:0.412014:0.278550:0.412014:0.278550:0.397289:0.271834:0.397289:0.000000
y:@0.295202:0.412014:0.301935:0.412014:0.301935:0.397289:0.295202:0.397289:0.000000
−:@0.121674:0.393953:0.130779:0.393953:0.130779:0.379937:0.121674:0.379937:0.000000
(:@0.114795:0.395801:0.120318:0.395801:0.120318:0.377889:0.114795:0.377889:0.000000
):@0.156406:0.395801:0.161929:0.395801:0.161929:0.377889:0.156406:0.377889:0.000000
=−:@0.129778:0.412624:0.151140:0.412624:0.151140:0.398608:0.129778:0.398608:0.000000:0.000000
→:@0.203614:0.402753:0.219983:0.402753:0.219983:0.388737:0.203614:0.388737:0.000000
−= −:@0.280701:0.393953:0.324662:0.393953:0.324662:0.379937:0.280701:0.379937:0.000000:0.000000:0.000000:0.000000
+:@0.349391:0.393953:0.358496:0.393953:0.358496:0.379937:0.349391:0.379937:0.000000
(:@0.331341:0.395801:0.336864:0.395801:0.336864:0.377889:0.331341:0.377889:0.000000
):@0.369454:0.395801:0.374976:0.395801:0.374976:0.377889:0.369454:0.377889:0.000000
+=:@0.282245:0.412624:0.315282:0.412624:0.315282:0.398608:0.282245:0.398608:0.000000:0.000000
2, 6:@0.130726:0.393343:0.155345:0.393343:0.155345:0.378593:0.130726:0.378593:0.000000:0.000000:0.000000:0.000000
1:@0.151075:0.412014:0.159169:0.412014:0.159169:0.397264:0.151075:0.397264:0.000000
6:@0.292097:0.393343:0.300190:0.393343:0.300190:0.378593:0.292097:0.378593:0.000000
1:@0.324603:0.393343:0.332696:0.393343:0.332696:0.378593:0.324603:0.378593:0.000000
2:@0.360841:0.393343:0.368934:0.393343:0.368934:0.378593:0.360841:0.378593:0.000000
4:@0.318433:0.412014:0.326527:0.412014:0.326527:0.397264:0.318433:0.397264:0.000000
1:@0.121673:0.413817:0.126364:0.413817:0.126364:0.405269:0.121673:0.405269:0.000000
          :@0.163886:0.402143:0.200207:0.402143:0.200207:0.387393:0.163886:0.387393:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
             :@0.223111:0.393343:0.270328:0.393343:0.270328:0.378593:0.223111:0.378593:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Paso único.:@0.102121:0.468138:0.185716:0.468138:0.185716:0.452560:0.102121:0.452560:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Verificamos la relación de los coeficientes de las ecuaciones.:@0.185716:0.468138:0.587850:0.468138:0.587850:0.453239:0.185716:0.453239:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1 1 5:@0.104665:0.490233:0.158179:0.490233:0.158179:0.475483:0.104665:0.475483:0.000000:0.000000:0.000000:0.000000:0.000000
1 1 4:@0.104665:0.507878:0.158038:0.507878:0.158038:0.493128:0.104665:0.493128:0.000000:0.000000:0.000000:0.000000:0.000000
=≠:@0.114371:0.498729:0.145203:0.498729:0.145203:0.484713:0.114371:0.484713:0.000000:0.000000
Por lo tanto, las trayectorias son paralelas.:@0.102121:0.529248:0.376604:0.529248:0.376604:0.514349:0.102121:0.514349:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Paso 1.:@0.102121:0.597824:0.154372:0.597824:0.154372:0.582246:0.102121:0.582246:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Hallemos la pendiente de la recta  . :@0.154372:0.597824:0.402745:0.597824:0.402745:0.582925:0.154372:0.582925:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
L:@0.384461:0.597824:0.391397:0.597824:0.391397:0.582950:0.384461:0.582950:0.000000
1:@0.391395:0.600700:0.396162:0.600700:0.396162:0.592014:0.391395:0.592014:0.000000
2:@0.104383:0.624240:0.112476:0.624240:0.112476:0.609490:0.104383:0.609490:0.000000
3:@0.135048:0.624240:0.143142:0.624240:0.143142:0.609490:0.135048:0.609490:0.000000
2:@0.166808:0.624240:0.174902:0.624240:0.174902:0.609490:0.166808:0.609490:0.000000
2:@0.240172:0.616354:0.248265:0.616354:0.248265:0.601604:0.240172:0.601604:0.000000
3:@0.240172:0.634004:0.248265:0.634004:0.248265:0.619254:0.240172:0.619254:0.000000
1:@0.207896:0.626043:0.212587:0.626043:0.212587:0.617495:0.207896:0.617495:0.000000
x:@0.113193:0.624240:0.119910:0.624240:0.119910:0.609515:0.113193:0.609515:0.000000
y:@0.144108:0.624240:0.150841:0.624240:0.150841:0.609515:0.144108:0.609515:0.000000
m:@0.196217:0.624240:0.209386:0.624240:0.209386:0.609515:0.196217:0.609515:0.000000
+:@0.123609:0.624850:0.132714:0.624850:0.132714:0.610834:0.123609:0.610834:0.000000
= →:@0.155087:0.624850:0.193597:0.624850:0.193597:0.610834:0.155087:0.610834:0.000000:0.000000:0.000000
= −:@0.216003:0.624850:0.237364:0.624850:0.237364:0.610834:0.216003:0.610834:0.000000:0.000000:0.000000
Paso 2.:@0.102121:0.654702:0.154372:0.654702:0.154372:0.639124:0.102121:0.639124:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Calculemos la pendiente de la recta   mediante la condición de perpendicularidad.:@0.154372:0.654702:0.701827:0.654702:0.701827:0.639803:0.154372:0.639803:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
L:@0.393728:0.654702:0.400664:0.654702:0.400664:0.639828:0.393728:0.639828:0.000000
2:@0.400492:0.657578:0.405258:0.657578:0.405258:0.648892:0.400492:0.648892:0.000000
mm:@0.104618:0.680693:0.141918:0.680693:0.141918:0.665968:0.104618:0.665968:0.000000:0.000000
m:@0.198903:0.680693:0.212072:0.680693:0.212072:0.665968:0.198903:0.665968:0.000000
m:@0.245076:0.690451:0.258244:0.690451:0.258244:0.675726:0.245076:0.675726:0.000000
m:@0.104618:0.717014:0.117787:0.717014:0.117787:0.702289:0.104618:0.702289:0.000000
m:@0.183678:0.717014:0.196847:0.717014:0.196847:0.702289:0.183678:0.702289:0.000000
1:@0.116303:0.682496:0.120994:0.682496:0.120994:0.673948:0.116303:0.673948:0.000000
2:@0.141044:0.682496:0.145734:0.682496:0.145734:0.673948:0.141044:0.673948:0.000000
2:@0.211199:0.682496:0.215890:0.682496:0.215890:0.673948:0.211199:0.673948:0.000000
1:@0.256759:0.692256:0.261449:0.692256:0.261449:0.683708:0.256759:0.683708:0.000000
2:@0.116916:0.718812:0.121606:0.718812:0.121606:0.710264:0.116916:0.710264:0.000000
2:@0.195981:0.718812:0.200672:0.718812:0.200672:0.710264:0.195981:0.710264:0.000000
1:@0.171807:0.680693:0.179900:0.680693:0.179900:0.665943:0.171807:0.665943:0.000000
1:@0.250159:0.672807:0.258253:0.672807:0.258253:0.658057:0.250159:0.658057:0.000000
1:@0.158095:0.709124:0.166188:0.709124:0.166188:0.694374:0.158095:0.694374:0.000000
2:@0.162987:0.724932:0.171081:0.724932:0.171081:0.710182:0.162987:0.710182:0.000000
3:@0.162995:0.742151:0.171088:0.742151:0.171088:0.727401:0.162995:0.727401:0.000000
3:@0.218497:0.709124:0.226591:0.709124:0.226591:0.694374:0.218497:0.694374:0.000000
2:@0.218497:0.726774:0.226591:0.726774:0.226591:0.712024:0.218497:0.712024:0.000000
⋅:@0.123035:0.681304:0.127181:0.681304:0.127181:0.667289:0.123035:0.667289:0.000000
= −→:@0.150499:0.681304:0.196274:0.681304:0.196274:0.667289:0.150499:0.667289:0.000000:0.000000:0.000000:0.000000
=−:@0.220653:0.681304:0.242015:0.681304:0.242015:0.667289:0.220653:0.667289:0.000000:0.000000
=−:@0.126368:0.717626:0.147730:0.717626:0.147730:0.703610:0.126368:0.703610:0.000000:0.000000
−:@0.151063:0.733222:0.160168:0.733222:0.160168:0.719206:0.151063:0.719206:0.000000
=:@0.205428:0.717626:0.214534:0.717626:0.214534:0.703610:0.205428:0.703610:0.000000
; :@0.174896:0.717016:0.183669:0.717016:0.183669:0.702266:0.174896:0.702266:0.000000:0.000000
Paso 3.:@0.102121:0.763632:0.154372:0.763632:0.154372:0.748054:0.102121:0.748054:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Apliquemos la ecuación cartesiana de la recta, conocida la pendiente y un punto :@0.154372:0.763632:0.686845:0.763632:0.686845:0.748733:0.154372:0.748733:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
por el que pasa la recta.:@0.102121:0.778719:0.255424:0.778719:0.255424:0.763820:0.102121:0.763820:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
P:@0.104618:0.798097:0.112513:0.798097:0.112513:0.783372:0.104618:0.783372:0.000000
m:@0.112247:0.824659:0.125416:0.824659:0.125416:0.809934:0.112247:0.809934:0.000000
y:@0.270232:0.805489:0.276966:0.805489:0.276966:0.790763:0.270232:0.790763:0.000000
x:@0.333553:0.805489:0.340270:0.805489:0.340270:0.790763:0.333553:0.790763:0.000000
x:@0.269808:0.830807:0.276525:0.830807:0.276525:0.816082:0.269808:0.816082:0.000000
y:@0.300441:0.830807:0.307174:0.830807:0.307174:0.816082:0.300441:0.816082:0.000000
−:@0.121573:0.798705:0.130678:0.798705:0.130678:0.784690:0.121573:0.784690:0.000000
(:@0.114701:0.800555:0.120224:0.800555:0.120224:0.782643:0.114701:0.782643:0.000000
):@0.156346:0.800555:0.161869:0.800555:0.161869:0.782643:0.156346:0.782643:0.000000
=:@0.132040:0.825264:0.141145:0.825264:0.141145:0.811248:0.132040:0.811248:0.000000
→:@0.203554:0.814795:0.219923:0.814795:0.219923:0.800780:0.203554:0.800780:0.000000
−=:@0.280640:0.806095:0.311604:0.806095:0.311604:0.792079:0.280640:0.792079:0.000000:0.000000
−−:@0.343961:0.806095:0.369187:0.806095:0.369187:0.792079:0.343961:0.792079:0.000000:0.000000
(:@0.325922:0.807945:0.331445:0.807945:0.331445:0.790033:0.325922:0.790033:0.000000
):@0.382178:0.807945:0.387701:0.807945:0.387701:0.790033:0.382178:0.790033:0.000000
−:@0.280220:0.831417:0.289325:0.831417:0.289325:0.817401:0.280220:0.817401:0.000000
= −:@0.311416:0.831417:0.332761:0.831417:0.332761:0.817401:0.311416:0.817401:0.000000:0.000000:0.000000
22  :@0.130624:0.798095:0.147169:0.798097:0.147169:0.783347:0.130624:0.783345:0.000000:0.000000:0.000000:0.000000
3:@0.145086:0.816766:0.153180:0.816766:0.153180:0.802016:0.145086:0.802016:0.000000
2:@0.145092:0.834414:0.153185:0.834414:0.153185:0.819664:0.145092:0.819664:0.000000
2:@0.291811:0.805489:0.299904:0.805489:0.299904:0.790739:0.291811:0.790739:0.000000
3:@0.315560:0.797597:0.323654:0.797597:0.323654:0.782847:0.315560:0.782847:0.000000
2:@0.315560:0.815247:0.323654:0.815247:0.323654:0.800497:0.315560:0.800497:0.000000
2):@0.369130:0.805489:0.381587:0.805489:0.381587:0.790739:0.369130:0.790739:0.000000:0.000000
3:@0.260996:0.830806:0.269090:0.830806:0.269090:0.816056:0.260996:0.816056:0.000000
2:@0.291380:0.830806:0.299473:0.830806:0.299473:0.816056:0.291380:0.816056:0.000000
1:@0.123937:0.826457:0.128627:0.826457:0.128627:0.817909:0.123937:0.817909:0.000000
,:@0.138401:0.798097:0.141287:0.798097:0.141287:0.783347:0.138401:0.783347:0.000000
(:@0.354852:0.805489:0.359247:0.805489:0.359247:0.790739:0.354852:0.790739:0.000000
          :@0.163837:0.814191:0.200125:0.814191:0.200125:0.799441:0.163837:0.799441:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
             :@0.223062:0.805491:0.270279:0.805491:0.270279:0.790741:0.223062:0.790741:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1 10:@0.332704:0.830808:0.348808:0.830808:0.348808:0.816058:0.332704:0.816058:0.000000:0.000000:0.000000:0.000000
Paso único.:@0.102121:0.883900:0.185716:0.883900:0.185716:0.868322:0.102121:0.868322:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Hallemos la pendiente de ambas rectas y comparemos.:@0.185716:0.883900:0.557812:0.883900:0.557812:0.869001:0.185716:0.869001:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
⇒:@0.389260:0.908525:0.405629:0.908525:0.405629:0.894509:0.389260:0.894509:0.000000
m:@0.102121:0.908141:0.115290:0.908141:0.115290:0.894287:0.102121:0.894287:0.000000
1:@0.115289:0.910989:0.120008:0.910989:0.120008:0.902767:0.115289:0.902767:0.000000
 =:@0.120008:0.908141:0.133524:0.908141:0.133524:0.894038:0.120008:0.894038:0.000000:0.000000
m:@0.164289:0.908141:0.177458:0.908141:0.177458:0.894287:0.164289:0.894287:0.000000
2:@0.177461:0.910989:0.182179:0.910989:0.182179:0.902767:0.177461:0.902767:0.000000
 =:@0.182178:0.908141:0.195695:0.908141:0.195695:0.894038:0.182178:0.894038:0.000000:0.000000
m:@0.250425:0.908141:0.263593:0.908141:0.263593:0.894287:0.250425:0.894287:0.000000
1:@0.263595:0.910989:0.268313:0.910989:0.268313:0.902767:0.263595:0.902767:0.000000
 :@0.268314:0.908141:0.271946:0.908141:0.271946:0.894038:0.268314:0.894038:0.000000
⋅ :@0.271946:0.908664:0.281615:0.908664:0.281615:0.892818:0.271946:0.892818:0.000000:0.000000
m:@0.281615:0.908141:0.294783:0.908141:0.294783:0.894287:0.281615:0.894287:0.000000
2:@0.294783:0.910989:0.299501:0.910989:0.299501:0.902767:0.294783:0.902767:0.000000
 =:@0.299500:0.908141:0.313017:0.908141:0.313017:0.894038:0.299500:0.894038:0.000000:0.000000
las rectas son perpendiculares:@0.410453:0.908141:0.608629:0.908141:0.608629:0.894038:0.410453:0.894038:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
= –1:@0.357515:0.908141:0.387418:0.908141:0.387418:0.894038:0.357515:0.894038:0.000000:0.000000:0.000000:0.000000
= ;:@0.223078:0.908141:0.248569:0.908141:0.248569:0.894038:0.223078:0.894038:0.000000:0.000000:0.000000
;:@0.157319:0.908141:0.160205:0.908141:0.160205:0.894038:0.157319:0.894038:0.000000
–:@0.136323:0.908141:0.144615:0.908141:0.144615:0.894063:0.136323:0.894063:0.000000
3:@0.148301:0.900070:0.156395:0.900070:0.156395:0.885968:0.148301:0.885968:0.000000
2:@0.148301:0.918181:0.156395:0.918181:0.156395:0.904078:0.148301:0.904078:0.000000
–:@0.315028:0.908149:0.323320:0.908149:0.323320:0.894071:0.315028:0.894071:0.000000
3 2:@0.327018:0.900070:0.353624:0.900070:0.353624:0.885968:0.327018:0.885968:0.000000:0.000000:0.000000
2 3:@0.327018:0.918181:0.353624:0.918181:0.353624:0.904078:0.327018:0.904078:0.000000:0.000000:0.000000
2:@0.236174:0.900070:0.244268:0.900070:0.244268:0.885968:0.236174:0.885968:0.000000
3:@0.236174:0.918181:0.244268:0.918181:0.244268:0.904078:0.236174:0.904078:0.000000
–:@0.197166:0.908149:0.205459:0.908149:0.205459:0.894071:0.197166:0.894071:0.000000
4:@0.209843:0.900070:0.217936:0.900070:0.217936:0.885968:0.209843:0.885968:0.000000
–6:@0.205697:0.918181:0.222083:0.918181:0.222083:0.904078:0.205697:0.904078:0.000000:0.000000
⋅:@0.336768:0.908671:0.342290:0.908671:0.342290:0.892826:0.336768:0.892826:0.000000
0:@0.882226:0.836974:0.887571:0.836974:0.887571:0.827574:0.882226:0.827574:0.000000
1:@0.904888:0.836974:0.910233:0.836974:0.910233:0.827574:0.904888:0.827574:0.000000
1:@0.880444:0.817134:0.885789:0.817134:0.885789:0.807735:0.880444:0.807735:0.000000
2:@0.880590:0.803481:0.885935:0.803481:0.885935:0.794081:0.880590:0.794081:0.000000
3:@0.880444:0.789553:0.885789:0.789553:0.885789:0.780154:0.880444:0.780154:0.000000
4:@0.880444:0.775696:0.885789:0.775696:0.885789:0.766296:0.880444:0.766296:0.000000
–1:@0.865169:0.836974:0.875724:0.836974:0.875724:0.827574:0.865169:0.827574:0.000000:0.000000
–2:@0.846726:0.836974:0.857281:0.836974:0.857281:0.827574:0.846726:0.827574:0.000000:0.000000
–3:@0.828315:0.836974:0.838870:0.836974:0.838870:0.827574:0.828315:0.827574:0.000000:0.000000
–4:@0.809831:0.836974:0.820386:0.836974:0.820386:0.827574:0.809831:0.827574:0.000000:0.000000
–5:@0.791389:0.836974:0.801943:0.836974:0.801943:0.827574:0.791389:0.827574:0.000000:0.000000
–6:@0.772977:0.836974:0.783532:0.836974:0.783532:0.827574:0.772977:0.827574:0.000000:0.000000
2  + 2  = 2:@0.801245:0.773397:0.847727:0.773397:0.847727:0.763997:0.801245:0.763997:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.806591:0.773397:0.811186:0.773397:0.811186:0.764615:0.806591:0.764615:0.000000
y:@0.827159:0.773397:0.831754:0.773397:0.831754:0.764615:0.827159:0.764615:0.000000
3  – 2  = –10:@0.773290:0.823703:0.829326:0.823703:0.829326:0.814304:0.773290:0.814304:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.778635:0.823703:0.783230:0.823703:0.783230:0.814921:0.778635:0.814921:0.000000
y:@0.798203:0.823703:0.802798:0.823703:0.802798:0.814921:0.798203:0.814921:0.000000
x:@0.920145:0.834325:0.924165:0.834325:0.924165:0.826641:0.920145:0.826641:0.000000
y:@0.880529:0.736149:0.884549:0.736149:0.884549:0.728465:0.880529:0.728465:0.000000
Interdisciplinariedad:@0.750247:0.115810:0.907453:0.115810:0.907453:0.098909:0.750247:0.098909:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Matemáticas y Economía:@0.755053:0.143892:0.930752:0.143892:0.930752:0.128528:0.755053:0.128528:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La función lineal es clave :@0.755053:0.256432:0.919243:0.256432:0.919243:0.241533:0.755053:0.241533:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
en economía para :@0.755053:0.271519:0.877279:0.271519:0.877279:0.256620:0.755053:0.256620:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
modelar relaciones :@0.755053:0.286607:0.882790:0.286607:0.882790:0.271708:0.755053:0.271708:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
proporcionales, como :@0.755053:0.301694:0.901184:0.301694:0.901184:0.286795:0.755053:0.286795:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
oferta y demanda :@0.755053:0.316782:0.874513:0.316782:0.874513:0.301883:0.755053:0.301883:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(pendientes opuestas), :@0.755053:0.331870:0.906646:0.331870:0.906646:0.316971:0.755053:0.316971:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
costos totales (costos fijos :@0.755053:0.346957:0.926646:0.346957:0.926646:0.332058:0.755053:0.332058:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
+ variables) e ingresos :@0.755053:0.362045:0.902858:0.362045:0.902858:0.347146:0.755053:0.347146:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(precio × cantidad). Su :@0.755053:0.377132:0.905071:0.377132:0.905071:0.362233:0.755053:0.362233:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
pendiente representa :@0.755053:0.392220:0.899625:0.392220:0.899625:0.377321:0.755053:0.377321:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
conceptos marginales :@0.755053:0.407308:0.902757:0.407308:0.902757:0.392409:0.755053:0.392409:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(costo, ingreso), y su :@0.755053:0.422395:0.889188:0.422395:0.889188:0.407496:0.755053:0.407496:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
intersección con otras :@0.755053:0.437483:0.902122:0.437483:0.902122:0.422584:0.755053:0.422584:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
rectas determina puntos :@0.755053:0.452571:0.918607:0.452571:0.918607:0.437672:0.755053:0.437672:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
críticos, como equilibrio :@0.755053:0.467658:0.914501:0.467658:0.914501:0.452759:0.755053:0.452759:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de mercado o punto de :@0.755053:0.482746:0.914250:0.482746:0.914250:0.467847:0.755053:0.467847:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
equilibrio financiero. :@0.755053:0.497833:0.891083:0.497833:0.891083:0.482934:0.755053:0.482934:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Aunque simplifica la :@0.755053:0.512921:0.890377:0.512921:0.890377:0.498022:0.755053:0.498022:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
realidad, permite análisis :@0.755053:0.528009:0.918069:0.528009:0.918069:0.513110:0.755053:0.513110:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ágiles y decisiones basadas :@0.755053:0.543096:0.934424:0.543096:0.934424:0.528197:0.755053:0.528197:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
en tendencias predecibles.:@0.755053:0.558184:0.928774:0.558184:0.928774:0.543285:0.755053:0.543285:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
©Shutterstock:@0.945793:0.211374:0.945793:0.168548:0.933882:0.168548:0.933882:0.211374:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000