Answer:
The answer is
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
(2,9) and (8,2)
The distance between them is
[tex]d = \sqrt{ ({2 - 8})^{2} + ({9 - 2})^{2} } \\ = \sqrt{ ({ - 6})^{2} + {7}^{2} } \\ = \sqrt{36 + 49} \\ = \sqrt{85} \\ \: \: \: \: \: \: \: \: =9.219544[/tex]
We have the final answer as
[tex] \sqrt{85} \: \: \: or \: 9.21 \: \: units[/tex]
Hope this helps you
