Question

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

Answer 1

ok. i have solved. u can have a look .

Answer 2

The answer is

`√(146) \: \: \: 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

(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