Question

HELP PLEASEEE. WILL GIVE 15 POINTS

Answer 1

PQ=17.088

Explanation:

If M is the midpoint of PQ, then PM is half the length of PQ. So we cna find our answer by first finding PM.

Imagine a right angle triangle with PM as its hypotenuse. Since P(x,y)=(5,-15), and M(x,y)=(13,-18), we know that the length of the vertical side of this triangle is the difference between P and M's y (vertical) coordinates, and the length of the horizontal side of this triangle is the difference between P and M's x (horizontal) coordinates. This means the vertical side is equal to -15-(-18)=3 and the horizontal side is equal to 13-5=8. Since we know the lengths of the other two sides and PM is the hypotenuse, we can use pythagorus to find the length of PM:

PM =
`\sqrt{3^(2) +8^(2) } =√(9 +64 )=√(73) =`8.544

Since PM is half PQ, PQ=2(8.544)=17.088