Question

Find the distance between the points (-5, -10) and (2, 4).

Math item stem image
CLEAR CHECK

4.58


12.12


15.65


21

Answer 1

15.65

Explanation:

Suppose we have two points:

`A = (x_(1), y_(1))`

`B = (x_(2), y_(2))`

The distance between these points is:

`D = \sqrt{(x_(2) - x_(1))^(2) + (y_(2) - y_(1))^(2)}`

So, for points (-5, -10) and (2, 4)

`D = \sqrt{(2 - (-5))^(2) + (4 - (-10))^(2)}`

`D = \sqrt{7^(2) + 14^(2)`

`D = 15.65`

So the correct answer is:

15.65