Find the distance between (2, 3) and (-4, -9). Round your answer to the nearest hundredth, if necessary.

Answer 1

The distance between two points $(x_1, y_1)$ and $(x_2, y_2)$ is given by the formula

$\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}.$

For $(2,3)$ and $(-4,-9),$ this is $\sqrt{(-4 - 2)^2 + (-9 - 3)^2} = \sqrt{36 + 144} = \sqrt{180} = \boxed{13.42}.$