El camino entre 2 pueblos es plano en la mitad de la distancia y el resto es una parte cuesta arriba y otra parte cuesta abajo. A un ciclista le toma 2 horas con 40 minutos ir del primer al segundo pueblo. Y para el regreso le toma 2 horas. Sus velocidades son 6, 12, y 18 kilómetros por hora cuesta arriba, en terreno plano y cuesta abajo, respectivamente. ¿Cuáles son las longitudes del camino plano y de los dos tramos inclinados? Recuerda que la fórmula para determinar la velocidad es la siguiente V=d/t donde V es la velocidad, d es la distancia y t es el tiempo. *

to plot points   for x just start at the origin (middle) and go to the left however many times it say(if the number is a positive) if the number is a negative then go right however many times it says if it is 0 go nowhere

now keep you pencil there and go up however many times it says on y(if it is positive) if it is negative then go down however many times it says. if it says 0 go nowhere.

you have just plotted a point! now when you finish plotting all of them connect them with a ruler

plot each point as (-3, 7), (0,4), (3,1), (8,-4)   in the parenthesis on the left of the comma is x and the right is y.

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step-by-step explanation:

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we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4