Question

Find the distance between the points with coordinates (-9,8) and (3,6). Round your answer to the nearest tenth.

Answer 1

The answer is

12.2 units

Explanation:

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

`d = \sqrt{ ({x_1 - x_2})^(2) + ({y_1 - y_2})^(2) } \\`

where

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

From the question the points are

(-9,8) and (3,6)

The distance between them is

`d = \sqrt{ ({ - 9 -3 })^(2) + ({8 - 6})^(2) } \\ = \sqrt{ ({ - 12})^(2) + {2}^(2) } \\ = √(144 + 4) \\ = √(148) \: \: \: \: \: \: \: \: \\ = 2 √(37) \: \: \: \: \: \: \: \: \\ = 12.1655...`

We have the final answer as

12.2 units

Hope this helps you