Question

what is the length of AB?

choices:
6 units
14 units
10 units
12 units

Answer 1

`\huge\boxed=10 \ units`

Explanation:

Coordinate of A =
`(x_1,y_1)` = (-7,-6)

Coordinate of B =
`(x_2,y_2)` = (1,0)

We will use distance formula to find the length of AB.

Length of AB:

`|AB|=√((x_2-x_1)^2+(y_2-y_1)^2) \\\\|AB|=√((1-(-7))^2+(0-(-6))^2) \\\\|AB|=√((1+7)^2+(6)^2) \\\\|AB|=√((8)^2+36) \\\\|AB|=√(64+36) \\\\|AB|=√(100) \\\\\boxed\\\\\rule[225]{225}{2}`