Answer: 14.32 units
Step-by-step explanation:
The formula for calculate the distance between two points is:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
In this case, given the points (-2,8) and (11,2), we can identify that:
[tex]x_2=11\\x_1=-2\\\\y_2=2\\y_1=8[/tex]
Therefore, we just need to substitute values into the formula in order to calculate the distance between the given points. This is (Rounded to the nearest hundred):
[tex]d=\sqrt{(11-(-2))^2+(2-8)^2}\\\\d=14.32\ units[/tex]
