Question

find the distance between the pair of points. round to the nearest tenth, if necessary

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, $(x_1,y_1)=(-2,-3)$ and $(x_2,y_2)=(4,0)$.

Step2: Substitute values

Substitute the values into the formula: $d=\sqrt{(4 - (-2))^2+(0-(-3))^2}=\sqrt{(4 + 2)^2+(0 + 3)^2}=\sqrt{6^2+3^2}=\sqrt{36 + 9}=\sqrt{45}$.

Step3: Calculate and round

$\sqrt{45}\approx6.7$.

Answer:

$6.7$