Question

QP has midpoint R. if Q is the point (-3, 7) and P is the point (3, -1), what is the length of QR?

Answer 1

We have to find the distance between points Q and P and then we have to divide this value by 2.

We are going to use the distance between points formula and the points Q(-3,7) and P(3,-1)

`\begin{gathered} d=\text{ }\sqrt[]{(x2-x1)^2+(y2-y1)^2} \\ d=\sqrt[]{(3-(-3))^2+(-1-7)^2}\text{ (Replacing the values)} \\ d=\sqrt[]{(6)^2+(-8)^2}\text{ (Adding)} \\ d=\sqrt[]{36^{}+64^{}\text{ }}(\text{Raising both numbers to the power of 2)} \\ d=\sqrt[]{100}\text{ (Adding)} \\ d=10\text{ ( Taking the square root)} \\ (d)/(2)=(10)/(2)=5\text{ (Dividing by 2)} \end{gathered}`

The answer is: 5