Find the distance between (-8,-3) and (-2,-5). Round your answer to the nearest hundredth, if necessary.

Answer 1

Using the distance formula, the distance between two points $(x_1, y_1)$ and $(x_2, y_2)$ is given by $\sqrt{(x_2-x_1)^2 + (y_2-y_1)^2}$. In this case, $x_1 = -8$, $y_1 = -3$, $x_2 = -2$, and $y_2 = -5$. Plugging in these values, we get $\sqrt{(-2-(-8))^2 + (-5-(-3))^2} = \sqrt{6^2 + (-2)^2} = \sqrt{40} \approx \boxed{6.32}$.