182:@0.031627:0.974518:0.062330:0.974518:0.062330:0.956333:0.031627:0.956333:0.000000:0.000000:0.000000
Función lineal:@0.073089:0.043661:0.198071:0.043661:0.198071:0.024916:0.073089:0.024916:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
6.3 Ecuación de la recta dados dos puntos:@0.293660:0.136836:0.620985:0.136836:0.620985:0.119889:0.293660:0.119889:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Si se conocen dos puntos de una recta, se halla el valor de la pendiente y :@0.293660:0.164198:0.931009:0.164198:0.931009:0.148486:0.293660:0.148486:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
luego se utiliza cualquiera de los métodos enunciados en la sección anterior.:@0.293660:0.180840:0.927396:0.180840:0.927396:0.165127:0.293660:0.165127:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Si se conocen dos puntos de una recta, para hallar su ecuación::@0.306493:0.215459:0.768087:0.215459:0.768087:0.199746:0.306493:0.199746:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1.  Se halla la pendiente de la recta.:@0.303147:0.235675:0.568783:0.235675:0.568783:0.219962:0.303147:0.219962:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2.  Se utiliza la forma (:@0.303147:0.255890:0.470252:0.255890:0.470252:0.240177:0.303147:0.240177:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y y:@0.471359:0.255890:0.497718:0.255890:0.497718:0.239484:0.471359:0.239484:0.000000:0.000000:0.000000
–:@0.479937:0.256472:0.489140:0.256472:0.489140:0.238818:0.479937:0.238818:0.000000
1:@0.498819:0.259062:0.504056:0.259062:0.504056:0.249901:0.498819:0.249901:0.000000
):@0.504699:0.255890:0.509577:0.255890:0.509577:0.240177:0.504699:0.240177:0.000000
=:@0.510682:0.256472:0.526015:0.256472:0.526015:0.238818:0.510682:0.238818:0.000000
m x x:@0.527119:0.255890:0.575144:0.255890:0.575144:0.239484:0.527119:0.239484:0.000000:0.000000:0.000000:0.000000:0.000000
(:@0.542839:0.255890:0.547717:0.255890:0.547717:0.240177:0.542839:0.240177:0.000000
–:@0.557381:0.256472:0.566584:0.256472:0.566584:0.238818:0.557381:0.238818:0.000000
1:@0.576248:0.259062:0.581485:0.259062:0.581485:0.249901:0.576248:0.249901:0.000000
).:@0.582129:0.255890:0.591314:0.255890:0.591314:0.240177:0.582129:0.240177:0.000000:0.000000
3.  O se puede utilizar la forma :@0.303147:0.276106:0.537253:0.276106:0.537253:0.260393:0.303147:0.260393:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y mx b:@0.537253:0.276106:0.612248:0.276106:0.612248:0.259700:0.537253:0.259700:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.545834:0.276688:0.561168:0.276688:0.561168:0.259034:0.545834:0.259034:0.000000
+:@0.586551:0.276688:0.601885:0.276688:0.601885:0.259034:0.586551:0.259034:0.000000
.:@0.613352:0.276106:0.616555:0.276106:0.616555:0.260393:0.613352:0.260393:0.000000
Ejemplo 5:@0.293674:0.318196:0.370045:0.318196:0.370045:0.301526:0.293674:0.301526:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Halla la ecuación de la recta que pasa por los puntos  (3,  2) y  (6, 0):@0.293674:0.349136:0.790430:0.349136:0.790430:0.333423:0.293674:0.333423:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.677225:0.349136:0.687110:0.349136:0.687110:0.332730:0.677225:0.332730:0.000000
–  :@0.707818:0.349718:0.735245:0.349718:0.735245:0.332064:0.707818:0.332064:0.000000:0.000000:0.000000
B:@0.747118:0.349136:0.755953:0.349136:0.755953:0.332730:0.747118:0.332730:0.000000
2:@0.565457:0.468609:0.571990:0.468609:0.571990:0.457181:0.565457:0.457181:0.000000
3:@0.601963:0.468609:0.608496:0.468609:0.608496:0.457181:0.601963:0.457181:0.000000
4:@0.638791:0.468609:0.645324:0.468609:0.645324:0.457181:0.638791:0.457181:0.000000
5:@0.674802:0.468609:0.681335:0.468609:0.681335:0.457181:0.674802:0.457181:0.000000
6:@0.711309:0.468609:0.717842:0.468609:0.717842:0.457181:0.711309:0.457181:0.000000
7:@0.748137:0.468609:0.754670:0.468609:0.754670:0.457181:0.748137:0.457181:0.000000
1:@0.529633:0.468609:0.536166:0.468609:0.536166:0.457181:0.529633:0.457181:0.000000
2:@0.483715:0.407589:0.490248:0.407589:0.490248:0.396161:0.483715:0.396161:0.000000
1:@0.483715:0.435154:0.490248:0.435154:0.490248:0.423726:0.483715:0.423726:0.000000
0:@0.483715:0.468609:0.490248:0.468609:0.490248:0.457181:0.483715:0.457181:0.000000
-1:@0.453982:0.468609:0.464505:0.468609:0.464505:0.457181:0.453982:0.457181:0.000000:0.000000
-1:@0.479726:0.490132:0.490248:0.490132:0.490248:0.478705:0.479726:0.478705:0.000000:0.000000
-2:@0.479726:0.517828:0.490248:0.517828:0.490248:0.506401:0.479726:0.506401:0.000000:0.000000
-3:@0.479726:0.545292:0.490248:0.545292:0.490248:0.533865:0.479726:0.533865:0.000000:0.000000
-4:@0.479726:0.572837:0.490248:0.572837:0.490248:0.561410:0.479726:0.561410:0.000000:0.000000
A:@0.603245:0.509954:0.614013:0.509954:0.614013:0.494241:0.603245:0.494241:0.000000
B:@0.713766:0.454645:0.723061:0.454645:0.723061:0.438932:0.713766:0.438932:0.000000
La recta pasa por  (3,  2),  (6, 0) hallamos la pendiente al usar la expresión :@0.293660:0.632098:0.834970:0.632098:0.834970:0.616386:0.293660:0.616386:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.420670:0.632098:0.430555:0.632098:0.430555:0.615692:0.420670:0.615692:0.000000
–:@0.451263:0.632681:0.460467:0.632681:0.460467:0.615027:0.451263:0.615027:0.000000
B:@0.481156:0.632098:0.489992:0.632098:0.489992:0.615692:0.481156:0.615692:0.000000
 :@0.524395:0.632681:0.528997:0.632681:0.528997:0.615027:0.524395:0.615027:0.000000
m:@0.834612:0.632098:0.849228:0.632098:0.849228:0.615692:0.834612:0.615692:0.000000
=:@0.850259:0.632681:0.865592:0.632681:0.865592:0.615027:0.850259:0.615027:0.000000
y y:@0.872329:0.622195:0.898859:0.622195:0.898859:0.607281:0.872329:0.607281:0.000000:0.000000:0.000000
2:@0.879063:0.625079:0.883823:0.625079:0.883823:0.616752:0.879063:0.616752:0.000000
–:@0.883782:0.622725:0.892149:0.622725:0.892149:0.606676:0.883782:0.606676:0.000000
1:@0.898799:0.625079:0.903559:0.625079:0.903559:0.616752:0.898799:0.616752:0.000000
x x:@0.872346:0.640379:0.898842:0.640379:0.898842:0.625464:0.872346:0.625464:0.000000:0.000000:0.000000
2:@0.879063:0.643263:0.883823:0.643263:0.883823:0.634935:0.879063:0.634935:0.000000
–:@0.883782:0.640909:0.892149:0.640909:0.892149:0.624859:0.883782:0.624859:0.000000
1:@0.898782:0.643263:0.903543:0.643263:0.903543:0.634935:0.898782:0.634935:0.000000
m:@0.544971:0.669087:0.559586:0.669087:0.559586:0.652681:0.544971:0.652681:0.000000
=:@0.560617:0.669670:0.575950:0.669670:0.575950:0.652016:0.560617:0.652016:0.000000
0:@0.585785:0.659672:0.593951:0.659672:0.593951:0.645388:0.585785:0.645388:0.000000
– –:@0.594883:0.660570:0.620211:0.660570:0.620211:0.642916:0.594883:0.642916:0.000000:0.000000:0.000000
(:@0.605099:0.659987:0.609977:0.659987:0.609977:0.644275:0.605099:0.644275:0.000000
2:@0.621216:0.659672:0.629382:0.659672:0.629382:0.645388:0.621216:0.645388:0.000000
):@0.630314:0.659987:0.635192:0.659987:0.635192:0.644275:0.630314:0.644275:0.000000
6 3:@0.596749:0.677330:0.624228:0.677330:0.624228:0.663046:0.596749:0.663046:0.000000:0.000000:0.000000
–:@0.605845:0.678228:0.615049:0.678228:0.615049:0.660574:0.605845:0.660574:0.000000
=:@0.645019:0.669670:0.660353:0.669670:0.660353:0.652016:0.645019:0.652016:0.000000
2:@0.664397:0.660053:0.672563:0.660053:0.672563:0.645769:0.664397:0.645769:0.000000
3:@0.664397:0.676972:0.672563:0.676972:0.672563:0.662688:0.664397:0.662688:0.000000
Se aplica la expresión:@0.293660:0.700024:0.448358:0.700024:0.448358:0.684311:0.293660:0.684311:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(:@0.549944:0.730964:0.554822:0.730964:0.554822:0.715251:0.549944:0.715251:0.000000
y y:@0.555853:0.730964:0.582047:0.730964:0.582047:0.714557:0.555853:0.714557:0.000000:0.000000:0.000000
–:@0.564357:0.731546:0.573561:0.731546:0.573561:0.713892:0.564357:0.713892:0.000000
1:@0.583081:0.734133:0.588318:0.734133:0.588318:0.724973:0.583081:0.724973:0.000000
):@0.588914:0.730961:0.593792:0.730961:0.593792:0.715248:0.588914:0.715248:0.000000
=:@0.594823:0.731544:0.610156:0.731544:0.610156:0.713889:0.594823:0.713889:0.000000
m x x:@0.611169:0.730961:0.658880:0.730961:0.658880:0.714555:0.611169:0.714555:0.000000:0.000000:0.000000:0.000000:0.000000
(:@0.626815:0.730961:0.631693:0.730961:0.631693:0.715248:0.626815:0.715248:0.000000
–:@0.641209:0.731544:0.650413:0.731544:0.650413:0.713889:0.641209:0.713889:0.000000
1:@0.659919:0.734133:0.665156:0.734133:0.665156:0.724973:0.659919:0.724973:0.000000
):@0.665753:0.730961:0.670631:0.730961:0.670631:0.715248:0.665753:0.715248:0.000000
y:@0.549364:0.761901:0.556837:0.761901:0.556837:0.745495:0.549364:0.745495:0.000000
– – =:@0.557868:0.762483:0.615464:0.762483:0.615464:0.744829:0.557868:0.744829:0.000000:0.000000:0.000000:0.000000:0.000000
( 2):@0.568084:0.761901:0.599100:0.761901:0.599100:0.746188:0.568084:0.746188:0.000000:0.000000:0.000000:0.000000
2:@0.619495:0.752864:0.627661:0.752864:0.627661:0.738580:0.619495:0.738580:0.000000
3:@0.619495:0.769783:0.627661:0.769783:0.627661:0.755499:0.619495:0.755499:0.000000
(:@0.631711:0.761897:0.636589:0.761897:0.636589:0.746185:0.631711:0.746185:0.000000
x:@0.637620:0.761897:0.645075:0.761897:0.645075:0.745491:0.637620:0.745491:0.000000
–:@0.646105:0.762480:0.655309:0.762480:0.655309:0.744825:0.646105:0.744825:0.000000
3):@0.656322:0.761897:0.671213:0.761897:0.671213:0.746185:0.656322:0.746185:0.000000:0.000000
y:@0.563218:0.792837:0.570691:0.792837:0.570691:0.776431:0.563218:0.776431:0.000000
+ =:@0.571722:0.793420:0.613414:0.793420:0.613414:0.775765:0.571722:0.775765:0.000000:0.000000:0.000000
2:@0.588067:0.792837:0.597050:0.792837:0.597050:0.777124:0.588067:0.777124:0.000000
2:@0.617452:0.783801:0.625618:0.783801:0.625618:0.769517:0.617452:0.769517:0.000000
3:@0.617452:0.800721:0.625618:0.800721:0.625618:0.786436:0.617452:0.786436:0.000000
x:@0.629668:0.792835:0.637123:0.792835:0.637123:0.776429:0.629668:0.776429:0.000000
–:@0.638154:0.793417:0.647357:0.793417:0.647357:0.775763:0.638154:0.775763:0.000000
2:@0.648370:0.792835:0.657352:0.792835:0.657352:0.777122:0.648370:0.777122:0.000000
Se resta 2 a lado y lado para obtener::@0.293643:0.823775:0.559860:0.823775:0.559860:0.808062:0.293643:0.808062:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.576379:0.854715:0.583852:0.854715:0.583852:0.838308:0.576379:0.838308:0.000000
=:@0.584883:0.855297:0.600216:0.855297:0.600216:0.837643:0.584883:0.837643:0.000000
2:@0.604276:0.845675:0.612442:0.845675:0.612442:0.831391:0.604276:0.831391:0.000000
3:@0.604276:0.862594:0.612442:0.862594:0.612442:0.848310:0.604276:0.848310:0.000000
x:@0.616492:0.854708:0.623946:0.854708:0.623946:0.838302:0.616492:0.838302:0.000000
–:@0.624977:0.855291:0.634181:0.855291:0.634181:0.837636:0.624977:0.837636:0.000000
4:@0.635193:0.854708:0.644176:0.854708:0.644176:0.838996:0.635193:0.838996:0.000000
Interdisciplinariedad :@0.082138:0.302274:0.248512:0.302274:0.248512:0.285327:0.082138:0.285327:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
En la vida real, la ecuación :@0.082520:0.369916:0.257141:0.369916:0.257141:0.355632:0.082520:0.355632:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de la recta se usa para :@0.082520:0.385045:0.231120:0.385045:0.231120:0.370761:0.082520:0.370761:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
resolver problemas :@0.082520:0.400174:0.212089:0.400174:0.212089:0.385890:0.082520:0.385890:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
prácticos en diversas :@0.082520:0.415303:0.223121:0.415303:0.223121:0.401019:0.082520:0.401019:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
áreas, ejemplos::@0.082520:0.430432:0.186558:0.430432:0.186558:0.416148:0.082520:0.416148:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Diseño de carreteras::@0.082520:0.445561:0.226781:0.445561:0.226781:0.430407:0.082520:0.430407:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.226714:0.445561:0.230379:0.445561:0.230379:0.431277:0.226714:0.431277:0.000000
para planificar el trayecto :@0.082520:0.460690:0.251758:0.460690:0.251758:0.446406:0.082520:0.446406:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
más directo y seguro :@0.082520:0.475819:0.223869:0.475819:0.223869:0.461535:0.082520:0.461535:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
entre dos puntos, :@0.082520:0.490948:0.201833:0.490948:0.201833:0.476664:0.082520:0.476664:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
minimizando costos y :@0.082520:0.506077:0.230608:0.506077:0.230608:0.491793:0.082520:0.491793:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tiempos de viaje.:@0.082520:0.521206:0.193963:0.521206:0.193963:0.506922:0.082520:0.506922:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Arquitectura y :@0.082520:0.536335:0.184408:0.536335:0.184408:0.521181:0.082520:0.521181:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
construcción:@0.082520:0.551464:0.171787:0.551464:0.171787:0.536310:0.082520:0.536310:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
: se emplean :@0.171678:0.551464:0.258485:0.551464:0.258485:0.537179:0.171678:0.537179:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
para calcular inclinaciones :@0.082520:0.566593:0.258912:0.566593:0.258912:0.552308:0.082520:0.552308:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de techos, rampas :@0.082520:0.581722:0.206454:0.581722:0.206454:0.567437:0.082520:0.567437:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de accesibilidad y la :@0.082520:0.596851:0.217529:0.596851:0.217529:0.582566:0.082520:0.582566:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
alineación de estructuras :@0.082520:0.611979:0.251105:0.611979:0.251105:0.597695:0.082520:0.597695:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
en un terreno.:@0.082520:0.627108:0.175485:0.627108:0.175485:0.612824:0.082520:0.612824:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Mapas y navegación::@0.082520:0.642237:0.226368:0.642237:0.226368:0.627083:0.082520:0.627083:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 los :@0.226231:0.642237:0.252051:0.642237:0.252051:0.627953:0.226231:0.627953:0.000000:0.000000:0.000000:0.000000:0.000000
GPS utilizan ecuaciones :@0.082520:0.657366:0.241810:0.657366:0.241810:0.643082:0.082520:0.643082:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de rectas para trazar :@0.082520:0.672495:0.218921:0.672495:0.218921:0.658211:0.082520:0.658211:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
rutas directas y calcular :@0.082520:0.687624:0.238918:0.687624:0.238918:0.673340:0.082520:0.673340:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
distancias entre :@0.082520:0.702753:0.189342:0.702753:0.189342:0.688469:0.082520:0.688469:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ubicaciones.:@0.082520:0.717882:0.164375:0.717882:0.164375:0.703598:0.082520:0.703598:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Análisis financiero::@0.082520:0.733011:0.210559:0.733011:0.210559:0.717857:0.082520:0.717857:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 para :@0.210417:0.733011:0.246847:0.733011:0.246847:0.718727:0.210417:0.718727:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
entender cómo cambian :@0.082520:0.748140:0.250605:0.748140:0.250605:0.733856:0.082520:0.733856:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
los precios de productos :@0.082520:0.763269:0.248477:0.763269:0.248477:0.748985:0.082520:0.748985:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
o para predecir gastos. :@0.082520:0.778398:0.235063:0.778398:0.235063:0.764114:0.082520:0.764114:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
MUESTRA EDITORIAL:@0.248902:0.947499:0.888171:0.113285:0.743922:0.050540:0.104653:0.884754:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Muestra editorial solo para fines didácticos – Prohibida su venta:@0.095585:0.659700:0.095585:0.341447:0.077558:0.341447:0.077558:0.659700:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000