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Phillip departed from town A with coordinates (1, 6) towards town B with coordinates (7, 6). At the same time Bruce headed from town B to town A. What are the coordinates of point C where they will meet if they are traveling at the same speed?

Respuesta :

calculista

Answer:

[tex]C(4,6)[/tex]

Step-by-step explanation:

we know that

If  Phillip and Bruce are traveling at the same speed and Phillip departed from town A towards town B, at the same time Bruce headed from town B to town A, then they will meet at midpoint C of segment AB.

Because the distance AC must be equal to the distance BC

The formula to calculate the midpoint between two points is equal to

[tex](\frac{x1+x2}{2},\frac{y1+y2}{2})[/tex]

we have

A(1,6) and B(7,6)

substitute

[tex]C(\frac{1+7}{2},\frac{6+6}{2})[/tex]

[tex]C(\frac{8}{2},\frac{12}{2})[/tex]

[tex]C(4,6)[/tex]

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