Answer:
11.2 Units
Explanation:
Given the points (-2,3) and (-7,-7).
Using the distance formula:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex][tex]\begin{gathered} (x_1,y_1)=\left(-2,3\right) \\ (x_2,y_2)=(-7,-7) \end{gathered}[/tex]Substitution into the distance formula gives::
[tex]\begin{gathered} d=\sqrt{(-7-(-2))^2+(-7-3)^2} \\ =\sqrt{(-7+2)^2+(-10)^2} \\ =\sqrt{(-5)^2+(-10)^2} \\ =\sqrt{25+100} \\ =\sqrt{125} \\ =11.18\text{ units} \end{gathered}[/tex]Rounding up to the neares tenth we have: 11.2 units.