Question

On a number line, P = -­15. T = 21. PQ = 8. PS = 20. R is the midpoint of PT. Find the coordinates of Q, R, and S.

A) Q = 8, R = 3, S = 21
B) Q = 6, R = 3, S = 15
C) Q = 13, R = 3, S = 27
D) Q = 9, R = 3, S = 23

Answer 1

The coordinates of Q, R, and S are Q = -7, R = 3, and S = 5.

Step-by-step explanation:

The coordinates of Q, R, and S can be found using the given information.

Since R is the midpoint of PT, we can find its coordinate by taking the average of the coordinates of P and T.

So, the coordinate of R is (P + T) / 2 = (-15 + 21) / 2 = 3.

Since PQ = 8, the coordinate of Q can be found by adding 8 to the coordinate of P. So, the coordinate of Q is -15 + 8 = -7.

Since PS = 20, the coordinate of S can be found by adding 20 to the coordinate of P. So, the coordinate of S is -15 + 20 = 5.

Therefore, the coordinates of Q, R, and S are Q = -7, R = 3, and S = 5.