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Answer :
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)
[tex]\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)} \\ \frac{d}{2}=\frac{10}{2}=5\text{ (Dividing by 2)} \end{gathered}[/tex]The answer is: 5
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