Answer:
[tex]\large\boxed{d=\sqrt{106}\approx10.3}[/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 the points (-4, 3) and (5, -2). Substitute:
[tex]d=\sqrt{(5-(-4))^2+(-2-3)^2}=\sqrt{9^2+(-5)^2}=\sqrt{81+25}=\sqrt{106}[/tex]