Answer:
10.8
Step-by-step explanation:
AB can be calculated using the formula [tex] d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]
The coordinates of A are when x = -2, y = -2
At B, x = 8, y = -6
Let,
[tex] A(-2, -2) = (x_1, y_1) [/tex]
[tex] B(8, -6) = (x_2, y_2) [/tex]
Plug the values into the formula.
[tex] AB = \sqrt{(8 - (-2))^2 + (-6 -(-2))^2} [/tex]
[tex] AB = \sqrt{(8 + 2)^2 + (-6 + 2)^2} [/tex]
[tex] AB = \sqrt{(10)^2 + (-4)^2} [/tex]
[tex] AB = \sqrt{100 + 16} [/tex]
[tex] AB = \sqrt{116} = 10.8 [/tex] nearest tenth
