Question

2. For the graph, find AB to the nearest tenth
y
8
А
6
B

Answer 1

10.8

Explanation:

AB can be calculated using the formula
`d = √((x_2 - x_1)^2 + (y_2 - y_1)^2)`

The coordinates of A are when x = -2, y = -2

At B, x = 8, y = -6

Let,

`A(-2, -2) = (x_1, y_1)`

`B(8, -6) = (x_2, y_2)`

Plug the values into the formula.

`AB = √((8 - (-2))^2 + (-6 -(-2))^2)`

`AB = √((8 + 2)^2 + (-6 + 2)^2)`

`AB = √((10)^2 + (-4)^2)`

`AB = √(100 + 16)`

`AB = √(116) = 10.8` nearest tenth