Answer:
[tex]\large\boxed{\sqrt{170}\approx13.04}[/tex]
Step-by-step explanation:
The formula of a distance between two points:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
We have
[tex](5,\ -2)\to x_1=5,\ y_1=-2\\(-8,\ -3)\to x_2=-8,\ y_2=-3[/tex]
Substitute:
[tex]d=\sqrt{(-8-5)^2+(-3-(-2))^2}=\sqrt{(-13)^2+(-1)^2}=\sqrt{169+1}=\sqrt{170}[/tex]
