PQ = 9x − 3 and PR = 14x + 5, what is PQ?

Answer 1

Assuming Q is the midpoint of PR, we then know that "2 PQ's" is congruent to PR through the definition of a midpoint. So our equation becomes:

2(9x - 3) = 14x + 5

x = 11/4

Substituting x back into the expression for the length of PQ:

PQ = 9(11/4) - 3 = 87/4

Hope this was helpful.

Answer 2

Given PQ = 9x - 3 and PR = 14x + 5. If PQ and PR represent segments along the same line, we equate them for some context like PQ = PR:

9x - 3 = 14x + 5

-3 - 5 = 14x - 9x

-8 = 5x

x = -8 / 5

Substitute x back into the expression for PQ:

PQ = 9(-8/5) - 3

PQ = -14.4 - 3

PQ = -17.4

Thus, PQ = -17.4.