Question

Find the distance between the points (9,-6) and (4,-7)

Answer 1

The answer is option D

Explanation:

The distance between two points can be found by using the formula

`d = \sqrt{ ({x1 - x2})^(2) + ({y1 - y2})^(2) } \\`

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(9,-6) and (4,-7)

The distance between them is

`d = \sqrt{ ({9 + 4})^(2) + ( { - 6 - 7})^(2) } \\ = \sqrt{ {13}^(2) + ({ - 13})^(2) } \\ = √(169 + 169) \\ = √(338) \\ = 13 √(2)`

Hope this helps you