Question

Find the distance between the pair of points. Round your answer to the nearest tenth if necessary.

Answer 1

Answer:

The distance between the pair of points is 12.0 (to the nearest tenth)

Step-by-step explanation:

The distance between a pair of points in a coordinate system is found by the formula:

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

where, the points are:

$(x_1,y_1)\ and\ (x_2,y_2)$

From the graph,

$(x_1,y_1)=(-6,-2)\\(x_2,y_2)=(2,7)$

Substitute the points into the formula:

$d=\sqrt{(2-(-6)^2+(7-(-2)^2} \\d=\sqrt{(2+6)^2+(7+2)^2} \\d=\sqrt{8^2+9^2} \\d=\sqrt{64+81} \\d=\sqrt{145} \\\d=12.0$