Question

Find the distance between A and B.

A 12 units
B.V106 units
C.9 units
D. 2/12 units

Answer 1

B.
`√(106)`

Explanation:

Distance between A(-4, 3) and B(5, -2) using distance formula,
`d = √((x_2 - x_1)^2 + (y_2 - y_1)^2)`

Let,

`(-4, 3) = (x_1, y_1)`

`(5, -2) = (x_2, y_2)`

Plug in the values into the formula

`d = √((5 -(-4))^2 + (-2 - 3)^2)`

`d = √((9)^2 + (-5)^2)`

`d = √(81 + 25)`

`d = √(106)`