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

Answer:

The answer is 125 units

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

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

The distance between them is

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

We have the final answer as

125 units

Hope this helps you