Question

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

Answer 1

Answer:

The answer is

$\sqrt{85}$

Step-by-step 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

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

We have the final answer as

$\sqrt{85}$

Hope this helps you