Question

Find the distance between these points. C(0, 4), T(-6, -3) √(37) √(109) √(85)

Answer 1

The answer is

`√(85)`

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(0, 4), T(-6, -3)

The distance between them is

`|CT| = \sqrt{ ({0 + 6})^(2) + ({4 + 3})^(2) } \\ = \sqrt{ {6}^(2) + {7}^(2) } \\ = √(36 + 49)`

We have the final answer as

`√(85)`

Hope this helps you