Find the distance between the points (0,2)and (-5,-9)The answer must be a whole number or a fully simplified radical expression do not round up

Question

asked Feb 13, 2021 120k views

2 Answers

IConfused · Answer 1 · 2021-02-19T03:47:27+0000

Answer:

The answer is

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

(0,2)and (-5,-9)

The distance is

$d = \sqrt{( {0 + 5})^(2) + ({2 + 9})^(2) } \\ = \sqrt{ {5}^(2) + {11}^(2) } \\ = √(25 + 121) \\ = √(146)$

We have the final answer as

$√(146) \: \: \: units$

Hope this helps you