Answer:
The answer is
[tex]4 \sqrt{2} \: \: or \: \: 5.656 \: \: \: units[/tex]
Step-by-step explanation:
The distance between two points can be found by using the formula
[tex]d = \sqrt{( {x1 - x2})^{2} + ({y1 - y2})^{2} } \\ [/tex]
where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
A(2,5) and B(-2,9)
The distance between them is
[tex] |AB| = \sqrt{ ({2 + 2})^{2} + ({5 - 9})^{2} } \\ = \sqrt{ {4}^{2} + ({ - 4})^{2} } \\ = \sqrt{16 + 16} \\ = \sqrt{32} \\ [/tex]
We have the final answer as
[tex]4 \sqrt{2} \: \: or \: \: 5.656 \: \: \: units[/tex]
Hope this helps you
