Refuerza tus aprendizajes:@0.118500:0.073787:0.464578:0.073787:0.464578:0.045747:0.118500:0.045747:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 167:@0.942817:0.963886:0.974741:0.963886:0.974741:0.945448:0.942817:0.945448:0.000000:0.000000:0.000000 1. :@0.096359:0.117820:0.115100:0.117820:0.115100:0.100685:0.096359:0.100685:0.000000:0.000000:0.000000 Lee analiza:@0.124848:0.117820:0.225297:0.117820:0.225297:0.100920:0.124848:0.100920:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 y :@0.152748:0.117820:0.168927:0.117820:0.168927:0.102151:0.152748:0.102151:0.000000:0.000000:0.000000 .:@0.225297:0.117820:0.228504:0.117820:0.228504:0.102151:0.225297:0.102151:0.000000 :@0.096359:0.141539:0.100082:0.141539:0.100082:0.124404:0.096359:0.124404:0.000000 Indica cuál de las siguientes expresiones no es :@0.124848:0.141539:0.489824:0.141539:0.489824:0.125870:0.124848:0.125870:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 equivalente a la ecuación x − 2y = 3::@0.124848:0.158136:0.390499:0.158136:0.390499:0.142466:0.124848:0.142466:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.096359:0.178300:0.100395:0.178300:0.100395:0.162631:0.096359:0.162631:0.000000 Escoge:@0.124848:0.178300:0.180647:0.178300:0.180647:0.161400:0.124848:0.161400:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 la respuesta correcta.:@0.180647:0.178300:0.339342:0.178300:0.339342:0.162631:0.180647:0.162631:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a) :@0.124848:0.202019:0.144087:0.202019:0.144087:0.184884:0.124848:0.184884:0.000000:0.000000:0.000000 x:@0.153337:0.202019:0.160800:0.202019:0.160800:0.185658:0.153337:0.185658:0.000000 − 3 = 2 :@0.160800:0.202019:0.232447:0.202019:0.232447:0.186350:0.160800:0.186350:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 y:@0.216894:0.202019:0.224376:0.202019:0.224376:0.185658:0.216894:0.185658:0.000000 c):@0.333781:0.202019:0.347878:0.202019:0.347878:0.184884:0.333781:0.184884:0.000000:0.000000 − 2( + 1) = 1:@0.347878:0.202019:0.471140:0.202019:0.471140:0.186350:0.347878:0.186350:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 y:@0.362270:0.202019:0.369751:0.202019:0.369751:0.185658:0.362270:0.185658:0.000000 y:@0.402682:0.202019:0.410163:0.202019:0.410163:0.185658:0.402682:0.185658:0.000000 b) :@0.124830:0.225738:0.145211:0.225738:0.145211:0.208603:0.124830:0.208603:0.000000:0.000000:0.000000 x:@0.153319:0.225738:0.160782:0.225738:0.160782:0.209377:0.153319:0.209377:0.000000 + = ( + 3) :@0.160782:0.225738:0.255703:0.225738:0.255703:0.210069:0.160782:0.210069:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 y:@0.179836:0.225738:0.187318:0.225738:0.187318:0.209377:0.179836:0.209377:0.000000 y:@0.211255:0.225738:0.218737:0.225738:0.218737:0.209377:0.211255:0.209377:0.000000 d):@0.333762:0.225738:0.350531:0.225738:0.350531:0.208603:0.333762:0.208603:0.000000:0.000000 2 = − 3 :@0.350531:0.225738:0.437326:0.225738:0.437326:0.210069:0.350531:0.210069:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 y:@0.371244:0.225738:0.378726:0.225738:0.378726:0.209377:0.371244:0.209377:0.000000 x:@0.397780:0.225738:0.405243:0.225738:0.405243:0.209377:0.397780:0.209377:0.000000 2. :@0.096322:0.256594:0.115063:0.256594:0.115063:0.239458:0.096322:0.239458:0.000000:0.000000:0.000000 Lee analiza:@0.124811:0.256594:0.225260:0.256594:0.225260:0.239693:0.124811:0.239693:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 y :@0.152711:0.256594:0.168890:0.256594:0.168890:0.240924:0.152711:0.240924:0.000000:0.000000:0.000000 .:@0.225260:0.256594:0.228467:0.256594:0.228467:0.240924:0.225260:0.240924:0.000000 En la ecuación − 2 = 3 existe una solución en la :@0.124811:0.280313:0.489752:0.280313:0.489752:0.264643:0.124811:0.264643:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.233829:0.280313:0.241292:0.280313:0.241292:0.263951:0.233829:0.263951:0.000000 y:@0.268749:0.280313:0.276231:0.280313:0.276231:0.263951:0.268749:0.263951:0.000000 que vale 5 y “ ” vale: :@0.124811:0.296909:0.283471:0.296909:0.283471:0.281239:0.124811:0.281239:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.157557:0.296909:0.165020:0.296909:0.165020:0.280548:0.157557:0.280548:0.000000 y:@0.231579:0.296909:0.239061:0.296909:0.239061:0.280548:0.231579:0.280548:0.000000 :@0.096322:0.320628:0.100358:0.320628:0.100358:0.304958:0.096322:0.304958:0.000000 Escoge:@0.124811:0.320628:0.180610:0.320628:0.180610:0.303727:0.124811:0.303727:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 la respuesta correcta.:@0.180610:0.320628:0.339305:0.320628:0.339305:0.304958:0.180610:0.304958:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a) :@0.124811:0.344347:0.144050:0.344347:0.144050:0.327211:0.124811:0.327211:0.000000:0.000000:0.000000 −2:@0.153300:0.344347:0.173276:0.344347:0.173276:0.328677:0.153300:0.328677:0.000000:0.000000 b) :@0.124811:0.368066:0.145192:0.368066:0.145192:0.350930:0.124811:0.350930:0.000000:0.000000:0.000000 1:@0.153300:0.368066:0.162293:0.368066:0.162293:0.352396:0.153300:0.352396:0.000000 c) :@0.124811:0.391785:0.142631:0.391785:0.142631:0.374649:0.124811:0.374649:0.000000:0.000000:0.000000 3 :@0.153300:0.391785:0.166329:0.391785:0.166329:0.376115:0.153300:0.376115:0.000000:0.000000 d) :@0.124811:0.415504:0.145303:0.415504:0.145303:0.398368:0.124811:0.398368:0.000000:0.000000:0.000000 2 :@0.153300:0.415504:0.170364:0.415504:0.170364:0.399834:0.153300:0.399834:0.000000:0.000000:0.000000 3. :@0.096322:0.439223:0.115063:0.439223:0.115063:0.422087:0.096322:0.422087:0.000000:0.000000:0.000000 Lee analiza:@0.124811:0.439223:0.225260:0.439223:0.225260:0.422322:0.124811:0.422322:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 y :@0.152711:0.439223:0.168890:0.439223:0.168890:0.423553:0.152711:0.423553:0.000000:0.000000:0.000000 .:@0.225260:0.439223:0.228467:0.439223:0.228467:0.423553:0.225260:0.423553:0.000000 :@0.096322:0.462942:0.100045:0.462942:0.100045:0.445806:0.096322:0.445806:0.000000 El par (−1, −3) es solución de la ecuación 2 + = . :@0.124811:0.462942:0.489771:0.462942:0.489771:0.447272:0.124811:0.447272:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x y a:@0.423652:0.462942:0.482713:0.462942:0.482713:0.446581:0.423652:0.446581:0.000000:0.000000:0.000000:0.000000:0.000000 En este caso \ \ vale: :@0.124830:0.479538:0.279474:0.479538:0.279474:0.463869:0.124830:0.463869:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a:@0.225813:0.479718:0.234400:0.479718:0.234400:0.463965:0.225813:0.463965:0.000000 :@0.096341:0.503257:0.100376:0.503257:0.100376:0.487588:0.096341:0.487588:0.000000 Escoge:@0.124830:0.503257:0.180629:0.503257:0.180629:0.486357:0.124830:0.486357:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 la respuesta correcta.:@0.180629:0.503257:0.339324:0.503257:0.339324:0.487588:0.180629:0.487588:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a) :@0.124830:0.526976:0.144068:0.526976:0.144068:0.509841:0.124830:0.509841:0.000000:0.000000:0.000000 −1 :@0.153319:0.526976:0.177330:0.526976:0.177330:0.511307:0.153319:0.511307:0.000000:0.000000:0.000000 c):@0.333762:0.526976:0.347859:0.526976:0.347859:0.509841:0.333762:0.509841:0.000000:0.000000 1:@0.347859:0.526976:0.371244:0.526976:0.371244:0.511307:0.347859:0.511307:0.000000:0.000000:0.000000 b) :@0.124811:0.550695:0.145192:0.550695:0.145192:0.533560:0.124811:0.533560:0.000000:0.000000:0.000000 0 :@0.153300:0.550695:0.166329:0.550695:0.166329:0.535026:0.153300:0.535026:0.000000:0.000000 d):@0.333744:0.550695:0.350513:0.550695:0.350513:0.533560:0.333744:0.533560:0.000000:0.000000 –5:@0.350513:0.550695:0.380439:0.550695:0.380439:0.535026:0.350513:0.535026:0.000000:0.000000:0.000000:0.000000 4. :@0.096304:0.581551:0.115045:0.581551:0.115045:0.564415:0.096304:0.564415:0.000000:0.000000:0.000000 Lee analiza:@0.124793:0.581551:0.225242:0.581551:0.225242:0.564650:0.124793:0.564650:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 y :@0.152692:0.581551:0.168872:0.581551:0.168872:0.565881:0.152692:0.565881:0.000000:0.000000:0.000000 .:@0.225242:0.581551:0.228448:0.581551:0.228448:0.565881:0.225242:0.565881:0.000000 :@0.096304:0.605270:0.100026:0.605270:0.100026:0.588134:0.096304:0.588134:0.000000 Por 2 latas de refresco y 3 bolsas de patatas me han :@0.124793:0.605270:0.489789:0.605270:0.489789:0.589600:0.124793:0.589600:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 cobrado cinco dólares. ¿Cuál de las siguientes ex-:@0.124793:0.621866:0.485698:0.621866:0.485698:0.606196:0.124793:0.606196:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 presiones no puede representar la frase anterior? :@0.124793:0.638462:0.478917:0.638462:0.478917:0.622793:0.124793:0.622793:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.096304:0.658627:0.100339:0.658627:0.100339:0.642957:0.096304:0.642957:0.000000 Escoge:@0.124793:0.658627:0.180592:0.658627:0.180592:0.641726:0.124793:0.641726:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 la respuesta correcta.:@0.180592:0.658627:0.339287:0.658627:0.339287:0.642957:0.180592:0.642957:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a) :@0.124793:0.682346:0.144031:0.682346:0.144031:0.665210:0.124793:0.665210:0.000000:0.000000:0.000000 2 + 3 = 5 :@0.153282:0.682346:0.241384:0.682346:0.241384:0.666676:0.153282:0.666676:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.162275:0.682346:0.169738:0.682346:0.169738:0.665985:0.162275:0.665985:0.000000 y:@0.197785:0.682346:0.205266:0.682346:0.205266:0.665985:0.197785:0.665985:0.000000 c):@0.333725:0.682346:0.347822:0.682346:0.347822:0.665210:0.333725:0.665210:0.000000:0.000000 3 + 2 = 5:@0.347822:0.682346:0.442246:0.682346:0.442246:0.666676:0.347822:0.666676:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.371207:0.682346:0.378670:0.682346:0.378670:0.665985:0.371207:0.665985:0.000000 y:@0.406717:0.682346:0.414199:0.682346:0.414199:0.665985:0.406717:0.665985:0.000000 b) :@0.124774:0.706065:0.145155:0.706065:0.145155:0.688929:0.124774:0.688929:0.000000:0.000000:0.000000 3 + 5 = 2 :@0.153263:0.706065:0.237330:0.706065:0.237330:0.690395:0.153263:0.690395:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.162256:0.706065:0.169719:0.706065:0.169719:0.689704:0.162256:0.689704:0.000000 y:@0.197766:0.706065:0.205248:0.706065:0.205248:0.689704:0.197766:0.689704:0.000000 d):@0.333707:0.706065:0.350476:0.706065:0.350476:0.688929:0.333707:0.688929:0.000000:0.000000 3 – 5 = 2:@0.350476:0.706065:0.432977:0.706065:0.432977:0.690395:0.350476:0.690395:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.371189:0.706065:0.378652:0.706065:0.378652:0.689704:0.371189:0.689704:0.000000 y:@0.432977:0.706065:0.440458:0.706065:0.440458:0.689704:0.432977:0.689704:0.000000 5. :@0.096267:0.736920:0.115008:0.736920:0.115008:0.719785:0.096267:0.719785:0.000000:0.000000:0.000000 Lee analiza:@0.124756:0.736920:0.225205:0.736920:0.225205:0.720020:0.124756:0.720020:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 y :@0.152655:0.736920:0.168835:0.736920:0.168835:0.721251:0.152655:0.721251:0.000000:0.000000:0.000000 .:@0.225205:0.736920:0.228411:0.736920:0.228411:0.721251:0.225205:0.721251:0.000000 ¿Cuál se las siguientes ecuaciones formaría un sis-:@0.124756:0.760639:0.485696:0.760639:0.485696:0.744970:0.124756:0.744970:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 tema compatible indeterminado con la ecuación :@0.124756:0.777236:0.489658:0.777236:0.489658:0.761566:0.124756:0.761566:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 2 − 3 = 2? :@0.124756:0.793832:0.215844:0.793832:0.215844:0.778162:0.124756:0.778162:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.133749:0.793832:0.141212:0.793832:0.141212:0.777471:0.133749:0.777471:0.000000 y:@0.169259:0.793832:0.176740:0.793832:0.176740:0.777471:0.169259:0.777471:0.000000 :@0.096267:0.817551:0.100303:0.817551:0.100303:0.801881:0.096267:0.801881:0.000000 Escoge:@0.124756:0.817551:0.180555:0.817551:0.180555:0.800651:0.124756:0.800651:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 la respuesta correcta.:@0.180555:0.817551:0.339250:0.817551:0.339250:0.801881:0.180555:0.801881:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a) :@0.124756:0.841270:0.143994:0.841270:0.143994:0.824134:0.124756:0.824134:0.000000:0.000000:0.000000 −4 + 6 = − 4 :@0.153245:0.841270:0.263313:0.841270:0.263313:0.825600:0.153245:0.825600:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.173221:0.841270:0.180684:0.841270:0.180684:0.824909:0.173221:0.824909:0.000000 y:@0.208731:0.841270:0.216212:0.841270:0.216212:0.824909:0.208731:0.824909:0.000000 c):@0.333688:0.841270:0.347786:0.841270:0.347786:0.824134:0.333688:0.824134:0.000000:0.000000 6 − 9 = 3:@0.347786:0.841270:0.442209:0.841270:0.442209:0.825600:0.347786:0.825600:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.371170:0.841270:0.378633:0.841270:0.378633:0.824909:0.371170:0.824909:0.000000 y:@0.406680:0.841270:0.414162:0.841270:0.414162:0.824909:0.406680:0.824909:0.000000 b) :@0.124738:0.864989:0.145118:0.864989:0.145118:0.847853:0.124738:0.847853:0.000000:0.000000:0.000000 3 − 2 = 2 :@0.153227:0.864989:0.237294:0.864989:0.237294:0.849319:0.153227:0.849319:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.162219:0.864989:0.169683:0.864989:0.169683:0.848628:0.162219:0.848628:0.000000 y:@0.197729:0.864989:0.205211:0.864989:0.205211:0.848628:0.197729:0.848628:0.000000 d):@0.333670:0.864989:0.350439:0.864989:0.350439:0.847853:0.333670:0.847853:0.000000:0.000000 4 – 6 = 3:@0.350439:0.864989:0.440421:0.864989:0.440421:0.849319:0.350439:0.849319:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.371152:0.864989:0.378615:0.864989:0.378615:0.848628:0.371152:0.848628:0.000000 y:@0.404893:0.864989:0.412374:0.864989:0.412374:0.848628:0.404893:0.848628:0.000000 6. :@0.514113:0.117724:0.532854:0.117724:0.532854:0.100588:0.514113:0.100588:0.000000:0.000000:0.000000 Lee analiza:@0.542603:0.117724:0.643052:0.117724:0.643052:0.100823:0.542603:0.100823:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 y :@0.570502:0.117724:0.586682:0.117724:0.586682:0.102054:0.570502:0.102054:0.000000:0.000000:0.000000 .:@0.643052:0.117724:0.646258:0.117724:0.646258:0.102054:0.643052:0.102054:0.000000 :@0.514113:0.141443:0.517836:0.141443:0.517836:0.124307:0.514113:0.124307:0.000000 Resuelve:@0.542603:0.141443:0.613695:0.141443:0.613695:0.124542:0.542603:0.124542:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 el siguiente sistema de ecuaciones: :@0.613695:0.141443:0.879088:0.141443:0.879088:0.125773:0.613695:0.125773:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.514113:0.206653:0.518149:0.206653:0.518149:0.190983:0.514113:0.190983:0.000000 −:@0.576714:0.172479:0.587750:0.172479:0.587750:0.152820:0.576714:0.152820:0.000000  :@0.589178:0.171830:0.593580:0.171830:0.593580:0.153951:0.589178:0.153951:0.000000 x y:@0.595771:0.171830:0.631374:0.171830:0.631374:0.153982:0.595771:0.153982:0.000000:0.000000:0.000000 + =:@0.607813:0.172479:0.647134:0.172479:0.647134:0.152820:0.607813:0.152820:0.000000:0.000000:0.000000 5:@0.650652:0.171830:0.660462:0.171830:0.660462:0.153951:0.650652:0.153951:0.000000 −:@0.567004:0.195231:0.578041:0.195231:0.578041:0.175572:0.567004:0.175572:0.000000  2:@0.579468:0.194582:0.594203:0.194582:0.594203:0.176704:0.579468:0.176704:0.000000:0.000000 x:@0.595590:0.194582:0.603732:0.194582:0.603732:0.176734:0.595590:0.176734:0.000000 +:@0.607632:0.195231:0.618669:0.195231:0.618669:0.175572:0.607632:0.175572:0.000000 2:@0.621342:0.194582:0.631152:0.194582:0.631152:0.176704:0.621342:0.176704:0.000000 y:@0.632540:0.194582:0.640701:0.194582:0.640701:0.176734:0.632540:0.176734:0.000000 =:@0.645425:0.195231:0.656462:0.195231:0.656462:0.175572:0.645425:0.175572:0.000000 2:@0.659980:0.194582:0.669790:0.194582:0.669790:0.176704:0.659980:0.176704:0.000000 ⎧:@0.546117:0.169296:0.556048:0.169296:0.556048:0.149636:0.546117:0.149636:0.000000 ⎨:@0.546117:0.186194:0.556048:0.186194:0.556048:0.166535:0.546117:0.166535:0.000000 ⎪:@0.546117:0.174727:0.556048:0.174727:0.556048:0.155068:0.546117:0.155068:0.000000 ⎩:@0.546117:0.203137:0.556048:0.203137:0.556048:0.183478:0.546117:0.183478:0.000000 ⎪:@0.546117:0.200587:0.556048:0.200587:0.556048:0.180928:0.546117:0.180928:0.000000 :@0.514246:0.230485:0.518281:0.230485:0.518281:0.214815:0.514246:0.214815:0.000000 Escoge:@0.542735:0.230485:0.598534:0.230485:0.598534:0.213584:0.542735:0.213584:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 la respuesta correcta.:@0.598534:0.230485:0.757229:0.230485:0.757229:0.214815:0.598534:0.214815:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a) :@0.542735:0.254204:0.561973:0.254204:0.561973:0.237068:0.542735:0.237068:0.000000:0.000000:0.000000 Sol (0,0) :@0.571224:0.254204:0.632607:0.254204:0.632607:0.238534:0.571224:0.238534:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 c):@0.727933:0.254204:0.742030:0.254204:0.742030:0.237068:0.727933:0.237068:0.000000:0.000000 Infinitas soluciones:@0.742030:0.254204:0.896011:0.254204:0.896011:0.238534:0.742030:0.238534:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 b) :@0.542735:0.277923:0.563116:0.277923:0.563116:0.260787:0.542735:0.260787:0.000000:0.000000:0.000000 Sol (3,8) :@0.571224:0.277923:0.632607:0.277923:0.632607:0.262253:0.571224:0.262253:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 d):@0.727933:0.277923:0.744702:0.277923:0.744702:0.260787:0.727933:0.260787:0.000000:0.000000 No tiene solución:@0.744702:0.277923:0.885471:0.277923:0.885471:0.262253:0.744702:0.262253:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 7. :@0.514246:0.308778:0.532987:0.308778:0.532987:0.291642:0.514246:0.291642:0.000000:0.000000:0.000000 Lee analiza:@0.542735:0.308778:0.643184:0.308778:0.643184:0.291877:0.542735:0.291877:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 y :@0.570634:0.308778:0.586814:0.308778:0.586814:0.293108:0.570634:0.293108:0.000000:0.000000:0.000000 .:@0.643184:0.308778:0.646390:0.308778:0.646390:0.293108:0.643184:0.293108:0.000000 :@0.514246:0.332497:0.517968:0.332497:0.517968:0.315361:0.514246:0.315361:0.000000 Calcula un número si sabes que la suma de sus :@0.542735:0.332497:0.907729:0.332497:0.907729:0.316827:0.542735:0.316827:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 dos cifras es 9, y que, si invertimos el orden de :@0.542735:0.349093:0.907711:0.349093:0.907711:0.333424:0.542735:0.333424:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 dichas cifras, el número obtenido es 45 unidades :@0.542735:0.365690:0.907711:0.365690:0.907711:0.350020:0.542735:0.350020:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 menor que el inicial::@0.542735:0.382286:0.690672:0.382286:0.690672:0.366616:0.542735:0.366616:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.514246:0.404235:0.518281:0.404235:0.518281:0.388565:0.514246:0.388565:0.000000 Escoge:@0.542735:0.404235:0.598534:0.404235:0.598534:0.387334:0.542735:0.387334:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 la respuesta correcta.:@0.598534:0.404235:0.757229:0.404235:0.757229:0.388565:0.598534:0.388565:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a) :@0.542735:0.427954:0.561973:0.427954:0.561973:0.410818:0.542735:0.410818:0.000000:0.000000:0.000000 72 :@0.571224:0.427954:0.597281:0.427954:0.597281:0.412284:0.571224:0.412284:0.000000:0.000000:0.000000:0.000000 c):@0.751667:0.427954:0.765765:0.427954:0.765765:0.410818:0.751667:0.410818:0.000000:0.000000 13:@0.765765:0.427954:0.798142:0.427954:0.798142:0.412284:0.765765:0.412284:0.000000:0.000000:0.000000:0.000000 b) :@0.542717:0.451673:0.563097:0.451673:0.563097:0.434537:0.542717:0.434537:0.000000:0.000000:0.000000 27 :@0.571206:0.451673:0.593227:0.451673:0.593227:0.436003:0.571206:0.436003:0.000000:0.000000:0.000000 d):@0.751649:0.451673:0.768418:0.451673:0.768418:0.434537:0.751649:0.434537:0.000000:0.000000 31:@0.768418:0.451673:0.798124:0.451673:0.798124:0.436003:0.768418:0.436003:0.000000:0.000000:0.000000:0.000000 8. :@0.514209:0.482528:0.532950:0.482528:0.532950:0.465392:0.514209:0.465392:0.000000:0.000000:0.000000 Lee analiza:@0.542698:0.482528:0.643147:0.482528:0.643147:0.465628:0.542698:0.465628:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 y :@0.570598:0.482528:0.586777:0.482528:0.586777:0.466858:0.570598:0.466858:0.000000:0.000000:0.000000 .:@0.643147:0.482528:0.646354:0.482528:0.646354:0.466858:0.643147:0.466858:0.000000 Un rectángulo tiene de perímetro 34 unidades. Su :@0.542698:0.506247:0.907639:0.506247:0.907639:0.490577:0.542698:0.490577:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 largo mide 7 unidades más que el ancho. Deter-:@0.542698:0.522844:0.903603:0.522844:0.903603:0.507174:0.542698:0.507174:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 mina las medidas del rectángulo::@0.542698:0.539440:0.784465:0.539440:0.784465:0.523770:0.542698:0.523770:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.514209:0.561389:0.518245:0.561389:0.518245:0.545719:0.514209:0.545719:0.000000 Escoge:@0.542698:0.561389:0.598497:0.561389:0.598497:0.544488:0.542698:0.544488:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 la respuesta correcta.:@0.598497:0.561389:0.757192:0.561389:0.757192:0.545719:0.598497:0.545719:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a) :@0.542698:0.585108:0.561937:0.585108:0.561937:0.567972:0.542698:0.567972:0.000000:0.000000:0.000000 largo 19, ancho 12 :@0.571187:0.585108:0.710021:0.585108:0.710021:0.569438:0.571187:0.569438:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 c):@0.746895:0.585108:0.760992:0.585108:0.760992:0.567972:0.746895:0.567972:0.000000:0.000000 largo 26, ancho 12:@0.760992:0.585108:0.903603:0.585108:0.903603:0.569438:0.760992:0.569438:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 b) :@0.542698:0.608827:0.563079:0.608827:0.563079:0.591691:0.542698:0.591691:0.000000:0.000000:0.000000 largo 12, ancho 5 :@0.571187:0.608827:0.701028:0.608827:0.701028:0.593157:0.571187:0.593157:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 d):@0.746895:0.608827:0.763664:0.608827:0.763664:0.591691:0.746895:0.591691:0.000000:0.000000 largo 19, ancho 5:@0.763664:0.608827:0.901189:0.608827:0.901189:0.593157:0.763664:0.593157:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 9. :@0.514209:0.639682:0.532950:0.639682:0.532950:0.622546:0.514209:0.622546:0.000000:0.000000:0.000000 Lee analiza:@0.542698:0.639682:0.643147:0.639682:0.643147:0.622781:0.542698:0.622781:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 y :@0.570598:0.639682:0.586777:0.639682:0.586777:0.624012:0.570598:0.624012:0.000000:0.000000:0.000000 .:@0.643147:0.639682:0.646354:0.639682:0.646354:0.624012:0.643147:0.624012:0.000000 :@0.514209:0.663401:0.517931:0.663401:0.517931:0.646265:0.514209:0.646265:0.000000 Determina:@0.542698:0.663401:0.627465:0.663401:0.627465:0.646500:0.542698:0.646500:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 BE si AC = EF, AB = 7 y CF = 12: :@0.627465:0.663401:0.858456:0.663401:0.858456:0.647731:0.627465:0.647731:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.514209:0.687120:0.518245:0.687120:0.518245:0.671450:0.514209:0.671450:0.000000 ∠:@0.542698:0.687701:0.558048:0.687701:0.558048:0.670095:0.542698:0.670095:0.000000 E = A y C = F:@0.558048:0.687120:0.704843:0.687120:0.704843:0.671450:0.558048:0.671450:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ∠:@0.585690:0.687701:0.601040:0.687701:0.601040:0.670095:0.585690:0.670095:0.000000 ∠:@0.636071:0.687701:0.651421:0.687701:0.651421:0.670095:0.636071:0.670095:0.000000 ∠:@0.680979:0.687701:0.696329:0.687701:0.696329:0.670095:0.680979:0.670095:0.000000 A:@0.569926:0.788147:0.578746:0.788147:0.578746:0.775326:0.569926:0.775326:0.000000 B:@0.641391:0.729305:0.649005:0.729305:0.649005:0.716484:0.641391:0.716484:0.000000 C:@0.751274:0.791609:0.759868:0.791609:0.759868:0.778789:0.751274:0.778789:0.000000 E:@0.665289:0.762720:0.672315:0.762720:0.672315:0.749900:0.665289:0.749900:0.000000 F:@0.842536:0.704897:0.849501:0.704897:0.849501:0.692076:0.842536:0.692076:0.000000 :@0.514246:0.815966:0.518281:0.815966:0.518281:0.800296:0.514246:0.800296:0.000000 Escoge:@0.542735:0.815966:0.598534:0.815966:0.598534:0.799065:0.542735:0.799065:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 la respuesta correcta.:@0.598534:0.815966:0.757229:0.815966:0.757229:0.800296:0.598534:0.800296:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a) :@0.542735:0.839685:0.561973:0.839685:0.561973:0.822549:0.542735:0.822549:0.000000:0.000000:0.000000 2 :@0.571224:0.839685:0.584252:0.839685:0.584252:0.824015:0.571224:0.824015:0.000000:0.000000 c):@0.751667:0.839685:0.765765:0.839685:0.765765:0.822549:0.751667:0.822549:0.000000:0.000000 5:@0.765765:0.839685:0.789149:0.839685:0.789149:0.824015:0.765765:0.824015:0.000000:0.000000:0.000000 b) :@0.542717:0.863404:0.563097:0.863404:0.563097:0.846268:0.542717:0.846268:0.000000:0.000000:0.000000 4 :@0.571206:0.863404:0.584234:0.863404:0.584234:0.847734:0.571206:0.847734:0.000000:0.000000 d):@0.751649:0.863404:0.768418:0.863404:0.768418:0.846268:0.751649:0.846268:0.000000:0.000000 7:@0.768418:0.863404:0.789131:0.863404:0.789131:0.847734:0.768418:0.847734:0.000000:0.000000:0.000000 ©:@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