Answer:
The answer is
[tex] \sqrt{41} \: \: \: units[/tex]
Step-by-step explanation:
The distance between two points can be found by
[tex] \sqrt{ ({x _{1} - x_{2} })^{2} + ({y_{1} } - y_{2} )^{2} } [/tex]
where
( x1 , y1) and ( x2 , y2) are the points
So the distance between (-4,4) and (1,0) is
[tex] \sqrt{( { - 4 - 1})^{2} + ( {4 - 0})^{2} } [/tex]
[tex] = \sqrt{ ({ - 5})^{2} + {4}^{2} } [/tex]
[tex] = \sqrt{25 + 16} [/tex]
We have the final answer as
[tex] \sqrt{41} \: \: \: units[/tex]
Hope this helps you
