Answer:
The answer is option D
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
(9,-6) and (4,-7)
The distance between them is
[tex]d = \sqrt{ ({9 + 4})^{2} + ( { - 6 - 7})^{2} } \\ = \sqrt{ {13}^{2} + ({ - 13})^{2} } \\ = \sqrt{169 + 169} \\ = \sqrt{338} \\ = 13 \sqrt{2} [/tex]
Hope this helps you
