Answer:
The distance between A and D to the nearest tenth is;
[tex]9.8\text{ units}[/tex]Explanation:
Given the two points;
[tex]A(6,2)\text{ and D(-3,-2)}[/tex]Applying the distance between two points formula;
[tex]d=\sqrt[]{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]substituting the given coordinates we have;
[tex]\begin{gathered} AD=\sqrt[]{(-3-6)^2+(-2-2)^2} \\ AD=\sqrt[]{(-9)^2+(-4)^2} \\ AD=\sqrt[]{81+16} \\ AD=\sqrt[]{97} \end{gathered}[/tex]Simplifying;
[tex]\begin{gathered} AD=9.8488578 \\ AD\approx9.8 \end{gathered}[/tex]Therefore, the distance between A and D to the nearest tenth is;
[tex]9.8\text{ units}[/tex]