Question

Find the distance between the two points (-4,4) and (1,0)

Answer 1

The answer is

`√(41) \: \: \: units`

Explanation:

The distance between two points can be found by

`\sqrt{ ({x _(1) - x_(2) })^(2) + ({y_(1) } - y_(2) )^(2) }`

where

( x1 , y1) and ( x2 , y2) are the points

So the distance between (-4,4) and (1,0) is

`\sqrt{( { - 4 - 1})^(2) + ( {4 - 0})^(2) }`

`= \sqrt{ ({ - 5})^(2) + {4}^(2) }`

`= √(25 + 16)`

We have the final answer as

`√(41) \: \: \: units`

Hope this helps you