Question

approximate the distance between (-6, 5) and (-4, -6) to the nearest tenth. the distance is about units.

Explanation:

Step1: Recall distance formula

The distance formula between two points $(x_1,y_1)$ and $(x_2,y_2)$ is $d = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}$. Here, $x_1=-6,y_1 = 5,x_2=-4,y_2=-6$.

Step2: Substitute values

$d=\sqrt{(-4-(-6))^2+((-6 - 5))^2}=\sqrt{(2)^2+(-11)^2}=\sqrt{4 + 121}=\sqrt{125}$.

Step3: Calculate square - root and round

$\sqrt{125}\approx11.2$.

Answer:

$11.2$