Question

find the distance between the pair of points. show all work. round your answer to the nearest tenth, if necessary.

Explanation:

Step1: Identify the distance formula

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

Step2: Identify the points

From the graph, the two points are $(x_1,y_1)=(-3,-5)$ and $(x_2,y_2)=(2,0)$.

Step3: Substitute the values into the formula

$d=\sqrt{(2 - (-3))^2+(0 - (-5))^2}=\sqrt{(2 + 3)^2+(0 + 5)^2}=\sqrt{5^2+5^2}=\sqrt{25 + 25}=\sqrt{50}$.

Step4: Simplify and round

$\sqrt{50}\approx7.1$ (rounded to the nearest tenth).

Answer:

$7.1$