Answer:
Step-by-step explanation:
The distance between two points can be found 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(5,-8) and B(2,9)
The distance between them is
[tex] |AB| = \sqrt{ ({5 - 2})^{2} + ({ - 8 - 9})^{2} } \\ = \sqrt{ {3}^{2} + ({ - 17})^{2} } \\ = \sqrt{9 + 289} \\ = \sqrt{298} [/tex]
| AB | = 17.26267
We have the final answer as
17. 26 units to the nearest hundredth
Hope this helps you