Question

To the nearest hundredth, what is the length of line segment AB ? The length of line segment AB is approximately ______ units.

A. 2.45

B. 2.16

C. 7.75

D. 8.25​

Answer 1

D. 8.25

Explanation:

The formula of a distance between two points:

`d=√((x_2-x_1)^2+(y_2-y_1)^2)`

From the graph we have the points A(2, 2) and B(-6, 4). Substitute:

`AB=√((-6-2)^2+(4-2)^2)=√((-8)^2+2^2)=√(64+4)=√(68)`

`AB\approx8.25`