Question

Find the distance between the two points. ​(-4​,-1​) and ​(-39​,-121​)

Answer 1

The distance of the two points equals to

Answer 2

The answer is 125 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

(-4,-1) and (-39,-121)

The distance between them is

`d = \sqrt{ ({ - 4 + 39})^(2) + ({ - 1 + 121})^(2) } \\ = \sqrt{ {35}^(2) + {120}^(2) } \: \: \: \: \\ = √(1225 + 14400) \\ = √(15625) \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ = 125 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:`

We have the final answer as

125 units

Hope this helps you