Question

Find the distance between the two points rounding to the nearest tenth (if necessary).

(-2,-2) and (0,7).

Answer 1

`d = 9.2`

Explanation:

Given

Points: (-2,-2) and (0,7)

Required

Determine the distance between them.

Distance is calculated as thus:

`d = √((x_2 - x_1)^2 + (y_2 - y_1)^2)`

Where:

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

`(x_2,y_2) = (0,7)`

So, we have:

`d = √((0 - (-2))^2 + (7 - (-2))^2)`

`d = √((0 +2)^2 + (7 +2)^2)`

`d = √(2^2 + 9^2)`

`d = √(4 + 81)`

`d = √(85)`

`d = 9.2` --- Approximated