Answer:
15.65
Step-by-step explanation:
Suppose we have two points:
[tex]A = (x_{1}, y_{1})[/tex]
[tex]B = (x_{2}, y_{2})[/tex]
The distance between these points is:
[tex]D = \sqrt{(x_{2} - x_{1})^{2} + (y_{2} - y_{1})^{2}}[/tex]
So, for points (-5, -10) and (2, 4)
[tex]D = \sqrt{(2 - (-5))^{2} + (4 - (-10))^{2}}[/tex]
[tex]D = \sqrt{7^{2} + 14^{2}[/tex]
[tex]D = 15.65[/tex]
So the correct answer is:
15.65
