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

Answer:

D. 8.25

Step-by-step explanation:

The formula of a distance between two points:

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

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

$AB=\sqrt{(-6-2)^2+(4-2)^2}=\sqrt{(-8)^2+2^2}=\sqrt{64+4}=\sqrt{68}$

$AB\approx8.25$