Answer:
The answer is
[tex]\sqrt{101} \: \: \: or \: \: \: 10.05 \: \: \: \: 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
(4,-9) and (-6,-10)
The distance between them is
[tex]d = \sqrt{ ({4 + 6})^{2} + ( { - 9 + 10})^{2} } \\ = \sqrt{ {10}^{2} + {1}^{2} } \\ = \sqrt{100 + 1} \: \: \\ = \sqrt{101} \: \: \: \: \: \: \: \: \: \\ = 10.04987...[/tex]
We have the final answer as
[tex] \sqrt{101} \: \: \: or \: \: \: 10.05 \: \: \: \: units[/tex]
Hope this helps you
