Question

Find the distance between each pair of points. Round your answer to the nearest tenth, if necessary. 7) (7,6), (0.2) 8) (4,2), (-6-6)

Answer 1

7.

$\begin{gathered} d=\sqrt[]{(x2-x1)^2+(y2-y1)^2} \\ d=\sqrt[]{(0-7)^2+(2-6)^2} \\ d=\sqrt[]{(-7)^2+(-4)^2} \\ d=\sqrt[]{49+16} \\ d=\sqrt[]{65} \\ d=8 \end{gathered}$

8.

$\begin{gathered} d=\sqrt[]{(-6-4)^2+(-6-2)^2} \\ d=\sqrt[]{(-10)^2+(-8)^2} \\ d=\sqrt[]{100+64} \\ d=\sqrt[]{164} \\ d=12.8=13 \end{gathered}$