Answer:
distance = 13
Explanation:
The distance between two points (x1, y1) and (x2, y2) can be calculated as
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]Replacing (x1, y1) = (8, 6) and (x2, y2) = (3, -6), we get that the distance between these points is
[tex]\begin{gathered} d=\sqrt{(3-8)^2+(-6-6)^2} \\ \\ d=\sqrt{(-5)^2+(-12)^2} \\ \\ d=\sqrt{25+144} \\ \\ d=\sqrt{169} \\ \\ d=13 \end{gathered}[/tex]Therefore, the distance between the points is 13.