Question

AWARDING EXTRA POINTS What is the distance between point B (-3, 3) and Point C (2, -7)?

Round your answer to the nearest tenth, or one decial place.

Answer 1

The answer is 11.2 units

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

B (-3, 3) and Point C (2, -7)

The distance between them is

`|BC| = \sqrt{ ({ - 3 - 2})^(2) + ({3 + 7})^(2) } \\ = \sqrt{ ({ - 5})^(2) + {10}^(2) } \\ = √(25 + 100) \: \: \: \: \: \: \: \\ = √(125) \\ = 5 √(5) \: \: \\ = 11.18033`

We have the final answer as

11.2 units to the nearest tenth

Hope this helps you