109:@0.942817:0.963886:0.974741:0.963886:0.974741:0.945448:0.942817:0.945448:0.000000:0.000000:0.000000
Interpretación geométrica de la pendiente de la recta:@0.094261:0.749457:0.594106:0.749457:0.594106:0.729484:0.094261:0.729484:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Pendiente de la recta:@0.096359:0.137145:0.315270:0.137145:0.315270:0.115336:0.096359:0.115336:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La pendiente es la razón de cambio entre el desplazamiento vertical :@0.096359:0.159926:0.628750:0.159926:0.628750:0.144256:0.096359:0.144256:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.624661:0.159926:0.628697:0.159926:0.628697:0.144256:0.624661:0.144256:0.000000
y horizontal.:@0.096359:0.176523:0.185529:0.176523:0.185529:0.160853:0.096359:0.160853:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Por ejemplo, si una persona sube por superficie inclinada de pendiente :@0.096359:0.236131:0.628689:0.236131:0.628689:0.220461:0.096359:0.220461:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¾, significa que asciende 3   y se desplaza 4   hacia la derecha. Según :@0.096359:0.252728:0.628586:0.252728:0.628586:0.237058:0.096359:0.237058:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
m:@0.297478:0.252728:0.312110:0.252728:0.312110:0.236366:0.297478:0.236366:0.000000
m:@0.431208:0.252728:0.445839:0.252728:0.445839:0.236366:0.431208:0.236366:0.000000
el teorema de Pitágoras, se desplazó 5  sobre la trayectoria inclinada.:@0.096359:0.269324:0.609598:0.269324:0.609598:0.253654:0.096359:0.253654:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 m:@0.374777:0.269324:0.392725:0.269324:0.392725:0.252963:0.374777:0.252963:0.000000:0.000000
Ahora supongamos que una persona baja por una superficie inclinada :@0.096359:0.293043:0.628640:0.293043:0.628640:0.277373:0.096359:0.277373:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de pendiente –5/12. Esto significa que desciende 5   y se mueve 12   :@0.096359:0.309639:0.628769:0.309639:0.628769:0.293970:0.096359:0.293970:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
m:@0.479044:0.309639:0.493676:0.309639:0.493676:0.293278:0.479044:0.293278:0.000000
m:@0.610101:0.309639:0.624733:0.309639:0.624733:0.293278:0.610101:0.293278:0.000000
hacia la derecha, es decir, recorrió 13   sobre la trayectoria inclinada.:@0.096359:0.326236:0.599482:0.326236:0.599482:0.310566:0.096359:0.310566:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
m:@0.367979:0.326236:0.382610:0.326236:0.382610:0.309874:0.367979:0.309874:0.000000
La pendiente m es la inclinación de la recta con respecto al eje de las :@0.096359:0.349955:0.628789:0.349955:0.628789:0.334285:0.096359:0.334285:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
abscisas. La pendiente m de la recta es la tangente del ángulo que :@0.096359:0.366551:0.628660:0.366551:0.628660:0.350881:0.096359:0.350881:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
forma la recta con el eje de las abscisas en sentido positivo.:@0.096359:0.383147:0.539562:0.383147:0.539562:0.367478:0.096359:0.367478:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Cálculo de la pendiente:@0.096359:0.410526:0.316749:0.410526:0.316749:0.390553:0.096359:0.390553:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ejemplo:@0.094261:0.574681:0.151622:0.574681:0.151622:0.559568:0.094261:0.559568:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Hallar la pendiente de la recta que pasa por los puntos A(3, 2) y B(5, 4).:@0.094261:0.598719:0.606634:0.598719:0.606634:0.583049:0.094261:0.583049:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La pendiente de la recta es 1 y :@0.404196:0.680940:0.645707:0.680940:0.645707:0.665271:0.404196:0.665271:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
corresponde a un ángulo de :@0.404196:0.697537:0.645690:0.697537:0.645690:0.681867:0.404196:0.681867:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
inclinación con el eje   de 45°.:@0.404196:0.714133:0.623706:0.714133:0.623706:0.698463:0.404196:0.698463:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.562600:0.714133:0.570063:0.714133:0.570063:0.697772:0.562600:0.697772:0.000000
Pendiente positiva:@0.125994:0.776231:0.265355:0.776231:0.265355:0.760653:0.125994:0.760653:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Pendiente negativa:@0.325029:0.776231:0.469971:0.776231:0.469971:0.760653:0.325029:0.760653:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Pendiente nula:@0.543095:0.776231:0.655554:0.776231:0.655554:0.760653:0.543095:0.760653:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Pendiente no definida:@0.719665:0.776231:0.883872:0.776231:0.883872:0.760653:0.719665:0.760653:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y = ax + b:@0.101468:0.794198:0.163938:0.794198:0.163938:0.779324:0.101468:0.779324:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Si la recta es creciente, :@0.101468:0.875671:0.254316:0.875671:0.254316:0.861426:0.101468:0.861426:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la pendiente es positiva y se :@0.101468:0.890759:0.291791:0.890759:0.291791:0.876514:0.101468:0.876514:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
inclina a la derecha.:@0.101468:0.905846:0.231918:0.905846:0.231918:0.891601:0.101468:0.891601:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
m = a, m > 0:@0.101468:0.920934:0.182315:0.920934:0.182315:0.906060:0.101468:0.906060:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y = –a x + b:@0.303285:0.792777:0.377548:0.792777:0.377548:0.777903:0.303285:0.777903:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Si la recta es decreciente, :@0.303285:0.871987:0.473368:0.871987:0.473368:0.857742:0.303285:0.857742:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la pendiente es negativa y :@0.303285:0.887075:0.481478:0.887075:0.481478:0.872830:0.303285:0.872830:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
se inclina a la izquierda.:@0.303285:0.902162:0.458795:0.902162:0.458795:0.887917:0.303285:0.887917:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
m:@0.303285:0.917250:0.316586:0.917250:0.316586:0.902376:0.303285:0.902376:0.000000
 = – ,   < 0:@0.316586:0.917250:0.396093:0.917250:0.396093:0.903005:0.316586:0.903005:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a m:@0.342284:0.917250:0.370596:0.917250:0.370596:0.902376:0.342284:0.902376:0.000000:0.000000:0.000000
y = b:@0.505101:0.792777:0.536344:0.792777:0.536344:0.777903:0.505101:0.777903:0.000000:0.000000:0.000000:0.000000:0.000000
Si la recta es constante, :@0.505101:0.870730:0.662888:0.870730:0.662888:0.856485:0.505101:0.856485:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la pendiente es nula y es :@0.505101:0.885818:0.672690:0.885818:0.672690:0.871572:0.505101:0.871572:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
paralela al eje  .:@0.505101:0.900905:0.609033:0.900905:0.609033:0.886660:0.505101:0.886660:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.599333:0.900905:0.606118:0.900905:0.606118:0.886031:0.599333:0.886031:0.000000
m = 0:@0.505101:0.915993:0.542157:0.915993:0.542157:0.901119:0.505101:0.901119:0.000000:0.000000:0.000000:0.000000:0.000000
Si la recta es perpendicular :@0.706917:0.853128:0.889247:0.853128:0.889247:0.838883:0.706917:0.838883:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
al eje  , la pendiente no está :@0.706917:0.868215:0.898764:0.868215:0.898764:0.853970:0.706917:0.853970:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.745246:0.868215:0.752031:0.868215:0.752031:0.853341:0.745246:0.853341:0.000000
definida o es infinita. Forma :@0.706917:0.883303:0.894323:0.883303:0.894323:0.869058:0.706917:0.869058:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
un ángulo de 90º con el :@0.706917:0.898391:0.870135:0.898391:0.870135:0.884145:0.706917:0.884145:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
eje  .:@0.706917:0.913478:0.740120:0.913478:0.740120:0.899233:0.706917:0.899233:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.730420:0.913478:0.737205:0.913478:0.737205:0.898604:0.730420:0.898604:0.000000
m:@0.706917:0.928566:0.720218:0.928566:0.720218:0.913692:0.706917:0.913692:0.000000
 no está definida.:@0.720218:0.928566:0.833732:0.928566:0.833732:0.914321:0.720218:0.914321:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.175531:0.810254:0.182332:0.810254:0.182332:0.795380:0.175531:0.795380:0.000000
y:@0.377648:0.808167:0.384450:0.808167:0.384450:0.793293:0.377648:0.793293:0.000000
y:@0.579766:0.810254:0.586568:0.810254:0.586568:0.795380:0.579766:0.795380:0.000000
y:@0.781884:0.800837:0.788685:0.800837:0.788685:0.785963:0.781884:0.785963:0.000000
x:@0.251922:0.835312:0.258706:0.835312:0.258706:0.820438:0.251922:0.820438:0.000000
x:@0.454039:0.835312:0.460824:0.835312:0.460824:0.820438:0.454039:0.820438:0.000000
x:@0.656157:0.835312:0.662942:0.835312:0.662942:0.820438:0.656157:0.820438:0.000000
x:@0.858275:0.819256:0.865059:0.819256:0.865059:0.804382:0.858275:0.804382:0.000000
y:@0.201489:0.434166:0.207610:0.434166:0.207610:0.420780:0.201489:0.420780:0.000000
x:@0.471159:0.543272:0.477265:0.543272:0.477265:0.529886:0.471159:0.529886:0.000000
0:@0.207705:0.543385:0.214246:0.543385:0.214246:0.531989:0.207705:0.531989:0.000000
y:@0.202618:0.499753:0.208059:0.499753:0.208059:0.487854:0.202618:0.487854:0.000000
1:@0.208059:0.502054:0.211872:0.502054:0.211872:0.495410:0.208059:0.495410:0.000000
y:@0.202618:0.446293:0.208059:0.446293:0.208059:0.434394:0.202618:0.434394:0.000000
2:@0.208059:0.448594:0.211872:0.448594:0.211872:0.441950:0.208059:0.441950:0.000000
x:@0.284366:0.544098:0.289794:0.544098:0.289794:0.532199:0.284366:0.532199:0.000000
1:@0.289794:0.546399:0.293607:0.546399:0.293607:0.539755:0.289794:0.539755:0.000000
x:@0.403084:0.544098:0.408511:0.544098:0.408511:0.532199:0.403084:0.532199:0.000000
2:@0.408511:0.546399:0.412324:0.546399:0.412324:0.539755:0.408511:0.539755:0.000000
P x y:@0.364476:0.437614:0.402380:0.437614:0.402380:0.424227:0.364476:0.424227:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.371653:0.440202:0.375942:0.440202:0.375942:0.432728:0.371653:0.432728:0.000000
( ,  ):@0.375943:0.437614:0.410664:0.437614:0.410664:0.424793:0.375943:0.424793:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.386045:0.440202:0.390334:0.440202:0.390334:0.432728:0.386045:0.432728:0.000000
2:@0.402380:0.440202:0.406669:0.440202:0.406669:0.432728:0.402380:0.432728:0.000000
∆  =   – :@0.414328:0.476981:0.468609:0.476981:0.468609:0.464160:0.414328:0.464160:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.422349:0.476981:0.428470:0.476981:0.428470:0.463595:0.422349:0.463595:0.000000
y:@0.444060:0.476981:0.450181:0.476981:0.450181:0.463595:0.444060:0.463595:0.000000
2:@0.450178:0.479570:0.454467:0.479570:0.454467:0.472095:0.450178:0.472095:0.000000
y:@0.468609:0.476981:0.474730:0.476981:0.474730:0.463595:0.468609:0.463595:0.000000
1:@0.474730:0.479570:0.479020:0.479570:0.479020:0.472095:0.474730:0.472095:0.000000
∆  =   – :@0.310327:0.510958:0.364583:0.510958:0.364583:0.498138:0.310327:0.498138:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.318348:0.510958:0.324455:0.510958:0.324455:0.497572:0.318348:0.497572:0.000000
x:@0.340044:0.510958:0.346151:0.510958:0.346151:0.497572:0.340044:0.497572:0.000000
2:@0.346151:0.513547:0.350440:0.513547:0.350440:0.506072:0.346151:0.506072:0.000000
x:@0.364583:0.510958:0.370690:0.510958:0.370690:0.497572:0.364583:0.497572:0.000000
1:@0.370688:0.513547:0.374977:0.513547:0.374977:0.506072:0.370688:0.506072:0.000000
P x y:@0.242973:0.491666:0.280877:0.491666:0.280877:0.478280:0.242973:0.478280:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.250149:0.494255:0.254439:0.494255:0.254439:0.486780:0.250149:0.486780:0.000000
( ,  ):@0.254438:0.491666:0.289161:0.491666:0.289161:0.478846:0.254438:0.478846:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.264540:0.494255:0.268829:0.494255:0.268829:0.486780:0.264540:0.486780:0.000000
1:@0.280875:0.494255:0.285164:0.494255:0.285164:0.486780:0.280875:0.486780:0.000000
m:@0.501702:0.449202:0.516333:0.449202:0.516333:0.432841:0.501702:0.432841:0.000000
 = tg( ):@0.516333:0.449202:0.579141:0.449202:0.579141:0.433532:0.516333:0.433532:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
m:@0.501708:0.482395:0.516340:0.482395:0.516340:0.466034:0.501708:0.466034:0.000000
 = tg( ) =:@0.516340:0.482395:0.591933:0.482395:0.591933:0.466725:0.516340:0.466725:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
m:@0.501693:0.515588:0.516325:0.515588:0.516325:0.499226:0.501693:0.499226:0.000000
 = :@0.516325:0.515588:0.535379:0.515588:0.535379:0.499918:0.516325:0.499918:0.000000:0.000000:0.000000
∆:@0.599073:0.477446:0.608877:0.477446:0.608877:0.461776:0.599073:0.461776:0.000000
y:@0.608877:0.477446:0.616358:0.477446:0.616358:0.461085:0.608877:0.461085:0.000000
∆:@0.599092:0.492535:0.608895:0.492535:0.608895:0.476865:0.599092:0.476865:0.000000
x:@0.608895:0.492535:0.616358:0.492535:0.616358:0.476174:0.608895:0.476174:0.000000
y:@0.543313:0.512794:0.550795:0.512794:0.550795:0.496433:0.543313:0.496433:0.000000
2:@0.550795:0.513443:0.556037:0.513443:0.556037:0.504308:0.550795:0.504308:0.000000
 – :@0.556036:0.512794:0.573321:0.512794:0.573321:0.497124:0.556036:0.497124:0.000000:0.000000:0.000000
y:@0.573321:0.512794:0.580803:0.512794:0.580803:0.496433:0.573321:0.496433:0.000000
1:@0.580803:0.513443:0.586046:0.513443:0.586046:0.504308:0.580803:0.504308:0.000000
x:@0.543331:0.527882:0.550795:0.527882:0.550795:0.511520:0.543331:0.511520:0.000000
2:@0.550795:0.529788:0.556037:0.529788:0.556037:0.520652:0.550795:0.520652:0.000000
 – :@0.556036:0.527882:0.573321:0.527882:0.573321:0.512212:0.556036:0.512212:0.000000:0.000000:0.000000
x:@0.573321:0.527882:0.580785:0.527882:0.580785:0.511520:0.573321:0.511520:0.000000
1:@0.580785:0.529788:0.586027:0.529788:0.586027:0.520652:0.580785:0.520652:0.000000
m:@0.404188:0.630712:0.418819:0.630712:0.418819:0.614351:0.404188:0.614351:0.000000
 = :@0.418819:0.630712:0.437873:0.630712:0.437873:0.615043:0.418819:0.615043:0.000000:0.000000:0.000000
m:@0.404188:0.660954:0.419484:0.660954:0.419484:0.643849:0.404188:0.643849:0.000000
 = :@0.419484:0.660954:0.439404:0.660954:0.439404:0.644572:0.419484:0.644572:0.000000:0.000000:0.000000
arctan:@0.439404:0.660954:0.487741:0.660954:0.487741:0.643849:0.439404:0.643849:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 (1) = 45°:@0.487741:0.660954:0.555959:0.660954:0.555959:0.644572:0.487741:0.644572:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
= :@0.504171:0.630712:0.519189:0.630712:0.519189:0.615043:0.504171:0.615043:0.000000:0.000000
= :@0.570971:0.630712:0.585990:0.630712:0.585990:0.615043:0.570971:0.615043:0.000000:0.000000
= 1:@0.610240:0.630712:0.634252:0.630712:0.634252:0.615043:0.610240:0.615043:0.000000:0.000000:0.000000
y:@0.447685:0.624286:0.455167:0.624286:0.455167:0.607925:0.447685:0.607925:0.000000
2:@0.455167:0.624935:0.460409:0.624935:0.460409:0.615800:0.455167:0.615800:0.000000
 – :@0.460409:0.624286:0.477694:0.624286:0.477694:0.608617:0.460409:0.608617:0.000000:0.000000:0.000000
y:@0.477694:0.624286:0.485175:0.624286:0.485175:0.607925:0.477694:0.607925:0.000000
1:@0.485175:0.624935:0.490418:0.624935:0.490418:0.615800:0.485175:0.615800:0.000000
x:@0.447704:0.639374:0.455167:0.639374:0.455167:0.623013:0.447704:0.623013:0.000000
2:@0.455167:0.641280:0.460409:0.641280:0.460409:0.632145:0.455167:0.632145:0.000000
 – :@0.460409:0.639374:0.477694:0.639374:0.477694:0.623704:0.460409:0.623704:0.000000:0.000000:0.000000
x:@0.477694:0.639374:0.485157:0.639374:0.485157:0.623013:0.477694:0.623013:0.000000
1:@0.485157:0.641280:0.490400:0.641280:0.490400:0.632145:0.485157:0.632145:0.000000
4 – 2:@0.525339:0.624286:0.560610:0.624286:0.560610:0.608617:0.525339:0.608617:0.000000:0.000000:0.000000:0.000000:0.000000
5 – 3:@0.525339:0.639375:0.560610:0.639375:0.560610:0.623706:0.525339:0.623706:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.591511:0.624286:0.600504:0.624286:0.600504:0.608617:0.591511:0.608617:0.000000
2:@0.591511:0.639375:0.600504:0.639375:0.600504:0.623706:0.591511:0.623706:0.000000
y:@0.214175:0.625585:0.220297:0.625585:0.220297:0.612199:0.214175:0.612199:0.000000
x:@0.354332:0.692574:0.360439:0.692574:0.360439:0.679188:0.354332:0.679188:0.000000
0:@0.213716:0.699482:0.220256:0.699482:0.220256:0.688086:0.213716:0.688086:0.000000
6:@0.211342:0.638029:0.217883:0.638029:0.217883:0.626633:0.211342:0.626633:0.000000
4:@0.211342:0.655850:0.217883:0.655850:0.217883:0.644454:0.211342:0.644454:0.000000
2:@0.211342:0.673669:0.217883:0.673669:0.217883:0.662273:0.211342:0.662273:0.000000
–2:@0.204641:0.709306:0.217883:0.709306:0.217883:0.697910:0.204641:0.697910:0.000000:0.000000
2:@0.244239:0.700195:0.250779:0.700195:0.250779:0.688799:0.244239:0.688799:0.000000
–1:@0.192454:0.700195:0.205695:0.700195:0.205695:0.688799:0.192454:0.688799:0.000000:0.000000
–2:@0.168706:0.700195:0.181947:0.700195:0.181947:0.688799:0.168706:0.688799:0.000000:0.000000
4:@0.267974:0.700195:0.274514:0.700195:0.274514:0.688799:0.267974:0.688799:0.000000
6:@0.291722:0.700195:0.298262:0.700195:0.298262:0.688799:0.291722:0.688799:0.000000
8:@0.315470:0.700195:0.322010:0.700195:0.322010:0.688799:0.315470:0.688799:0.000000
(5, 4):@0.257373:0.649504:0.286004:0.649504:0.286004:0.636683:0.257373:0.636683:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(3, 2):@0.234305:0.664520:0.262936:0.664520:0.262936:0.651699:0.234305:0.651699:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.259671:0.677968:0.265969:0.677968:0.265969:0.667556:0.259671:0.667556:0.000000
B:@0.288214:0.656749:0.293843:0.656749:0.293843:0.646337:0.288214:0.646337:0.000000
D:@0.288214:0.678074:0.295555:0.678074:0.295555:0.667662:0.288214:0.667662:0.000000
desplazamiento vertical:@0.330202:0.197130:0.504544:0.197130:0.504544:0.181460:0.330202:0.181460:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
desplazamiento horizontal:@0.319735:0.215579:0.515011:0.215579:0.515011:0.199910:0.319735:0.199910:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Pendiente   =:@0.186584:0.206079:0.300268:0.206079:0.300268:0.189697:0.186584:0.189697:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
m:@0.269001:0.206079:0.284567:0.206079:0.284567:0.188685:0.269001:0.188685:0.000000
Archivo editorial:@0.922830:0.381557:0.922830:0.332477:0.911442:0.332477:0.911442:0.381557:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Horizontal:@0.838837:0.255468:0.901640:0.255468:0.901640:0.242401:0.838837:0.242401:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Horizontal:@0.838837:0.378015:0.901640:0.378015:0.901640:0.364948:0.838837:0.364948:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Avance:@0.736345:0.365677:0.780495:0.365677:0.780495:0.352610:0.736345:0.352610:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Avance:@0.748193:0.239183:0.792343:0.239183:0.792343:0.226117:0.748193:0.226117:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
4 :@0.767950:0.219420:0.778451:0.219420:0.778451:0.206353:0.767950:0.206353:0.000000:0.000000
m:@0.778451:0.219420:0.790155:0.219420:0.790155:0.206342:0.778451:0.206342:0.000000
5 :@0.748193:0.191754:0.758694:0.191754:0.758694:0.178687:0.748193:0.178687:0.000000:0.000000
m:@0.758694:0.191754:0.770398:0.191754:0.770398:0.178676:0.758694:0.178676:0.000000
13 :@0.766632:0.313312:0.784564:0.313312:0.784564:0.300245:0.766632:0.300245:0.000000:0.000000:0.000000
m:@0.784564:0.313312:0.796267:0.313312:0.796267:0.300234:0.784564:0.300234:0.000000
12 :@0.746875:0.344935:0.764807:0.344935:0.764807:0.331868:0.746875:0.331868:0.000000:0.000000:0.000000
m:@0.764807:0.344935:0.776510:0.344935:0.776510:0.331858:0.764807:0.331858:0.000000
5 :@0.684983:0.313312:0.695484:0.313312:0.695484:0.300245:0.684983:0.300245:0.000000:0.000000
m:@0.695484:0.313312:0.707188:0.313312:0.707188:0.300234:0.695484:0.300234:0.000000
3 :@0.823237:0.193732:0.833738:0.193732:0.833738:0.180665:0.823237:0.180665:0.000000:0.000000
m:@0.833738:0.193732:0.845442:0.193732:0.845442:0.180655:0.833738:0.180655:0.000000
Descenso:@0.664990:0.327459:0.664990:0.283867:0.647579:0.283867:0.647579:0.327459:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ascenso:@0.890151:0.198987:0.890151:0.161536:0.872740:0.161536:0.872740:0.198987:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La pendiente de una :@0.731684:0.479136:0.873457:0.479136:0.873457:0.464891:0.731684:0.464891:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
recta es la tangente del :@0.731684:0.494224:0.890846:0.494224:0.890846:0.479978:0.731684:0.479978:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ángulo que forma la :@0.731684:0.509311:0.870107:0.509311:0.870107:0.495066:0.731684:0.495066:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
recta con la dirección :@0.731684:0.524399:0.878031:0.524399:0.878031:0.510154:0.731684:0.510154:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
positiva del eje de :@0.731684:0.539486:0.855986:0.539486:0.855986:0.525241:0.731684:0.525241:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
abscisas.:@0.731684:0.554574:0.788590:0.554574:0.788590:0.540329:0.731684:0.540329:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
m:@0.731684:0.576791:0.744985:0.576791:0.744985:0.561917:0.731684:0.561917:0.000000
 = :@0.744985:0.576791:0.762307:0.576791:0.762307:0.562545:0.744985:0.562545:0.000000:0.000000:0.000000
tan:@0.762307:0.576791:0.784269:0.576791:0.784269:0.561917:0.762307:0.561917:0.000000:0.000000:0.000000
 ( ):@0.784269:0.576791:0.807053:0.576791:0.807053:0.562545:0.784269:0.562545:0.000000:0.000000:0.000000:0.000000
α:@0.792377:0.577319:0.802613:0.577319:0.802613:0.561313:0.792377:0.561313:0.000000
La tangente de un :@0.731684:0.599007:0.857760:0.599007:0.857760:0.584762:0.731684:0.584762:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ángulo es igual al cateto :@0.731684:0.614095:0.897546:0.614095:0.897546:0.599850:0.731684:0.599850:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
opuesto sobre el cateto :@0.731684:0.629182:0.893006:0.629182:0.893006:0.614937:0.731684:0.614937:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
adyacente.:@0.731684:0.644270:0.803901:0.644270:0.803901:0.630025:0.731684:0.630025:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Responde: :@0.731684:0.666486:0.808678:0.666486:0.808678:0.651374:0.731684:0.651374:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿cuál es la :@0.808678:0.666486:0.879121:0.666486:0.879121:0.652241:0.808678:0.652241:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
función inversa de la :@0.731684:0.681574:0.872571:0.681574:0.872571:0.667329:0.731684:0.667329:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tangente? :@0.731684:0.696662:0.802913:0.696662:0.802913:0.682416:0.731684:0.682416:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Competencia :@0.767045:0.442780:0.887672:0.442780:0.887672:0.425879:0.767045:0.425879:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
matemática:@0.767045:0.455352:0.861486:0.455352:0.861486:0.438451:0.767045:0.438451:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 ©:@0.079553:0.731952:0.079553:0.720342:0.061505:0.720342:0.061505:0.731952:0.000000:0.000000
maya:@0.080774:0.720340:0.080774:0.684191:0.055786:0.684191:0.055786:0.720340:0.000000:0.000000:0.000000:0.000000
®EDUCACIÓN – Libro resuelto solo para fines didácticos – Prohibida su reproducción :@0.079553:0.684191:0.079553:0.268044:0.061505:0.268044:0.061505:0.684191:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000