Question

C(-3,-1), Q(-2,3)
Find the distance between each pair of points

Answer 1

4.2 units ! Is your answer

Answer 2

The answer is

`√(17) \: \: \: or \: \: \: 4.12 \: \: \: \: 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

C(-3,-1), Q(-2,3)

The distance between them is

`|CQ| = \sqrt{ ({ - 3 + 2})^(2) + ( { - 1 - 3})^(2) } \\ = \sqrt{ ({ - 1})^(2) + ( { - 4})^(2) } \\ = √(1 + 16) \\ = √(17) \: \: \: \: \: \: \: \\ = 4.1231...`

We have the final answer as

`√(17) \: \: \: or \: \: \: 4.12 \: \: \: \: units`

Hope this helps you