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The point Q is the midpoint of PR. Find the value of R if P = -24 and Q = -9.

a) -12
b) -15
c) -18
d) -21

User Baptx
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1 Answer

4 votes

Final answer:

The value of R is found to be 6 by averaging the endpoints of segment PR, with P at -24 and Q at -9 as the midpoint. The correct answer is not among the given options.

Step-by-step explanation:

The question asks us to find the value of point R if Q is the midpoint of PR, and the values of P and Q are given as -24 and -9, respectively.

To find R, recall that the midpoint Q of a segment PR will be the average of the endpoints P and R. This is found using the formula:

Q = ( P + R ) / 2

Substituting the given values into the formula gives:

-9 = ( -24 + R ) / 2

We can then solve for R by multiplying both sides of the equation by 2 and adding 24 to both sides:

-18 = -24 + R
R = -18 + 24
R = 6

Thus, the correct value for R is not listed in the provided options (a) through (d).

User Ahmad Bawaneh
by
7.5k points

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