Question

What is the distance between (5, 7) and (-2,-2)? Round to the nearest tenth, if necessary.

Answer 1

The distance between (5, 7) and (-2,-2) is 11.4 units.

Explanation:

We are given the following in the question:

Points:

(5, 7) and (-2,-2)

We have to find the distance between the two points.

Distance formula:

`d =√((y_2-y_1)^2+(x_2-x_1)^2))`

Putting values, we get,

`(x_1,y_1) = (5,7)\\(x_2,y_2) = (-2,-2)\\\\d = √((-2-7)^2 + (-2-5)^2) = √(130) \approx 11.4\text{ units}`

Thus, the distance between (5, 7) and (-2,-2) is 11.4 units.