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?

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

we have

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

substitute

the answer is:

the answer is:

to solve the problem, we need to remember the quotient of power property, it's defined by the following relation:

if we have a quotienf of powers that have the same base, we need to keep the same base and subtract the exponent of the denominator power to the exponent of the numerator power.

so, we are given the expression:

then, calculating we have:

hence, the answer is:

have a nice day!