Suppose q is the midpoint of pr. use the information to find the missing value. pq = 6x + 25 and qr = 16 - 3x; find pr

  38

Step-by-step explanation:

A graph shows PQ = QR when x=-1 and PQ = QR = 19.

Then ...

  PR = PQ + PR

  = 19 + 19

  PR = 38

_____

If you want to solve this algebraically, you can set PQ = QR:

  6x +25 = 16 -3x

  9x = -9 . . . . . add 3x -25

  x = -1

  PQ = 6(-1) +25 = 19 . . . . this is half the length of PR

  PR = 2×PQ = 2×19

  PR = 38

The midpoint of a line segment is the point equidistant from the endpoints of the line. Length PR is 38 units long.

Given that:

If Q is the midpoint, then the following conditions are true

Using the first condition, we have:

Collect like terms

Divide both sides by 9

Using the second condition, we have:

This gives

Substitute -1 for x

Hence, the length of PR is 38 units

Read more about midpoints at:

link

answer: it is 8

step-by-step explanation:

you know why its 8