Answer: [tex]d_{AB}=11.31\ units[/tex]
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 A(4,-6) and B(-4,2), we can identify that, we just need to substitute values into the formula in order to calculate the distance between the given points.
Thierefore, this is (Rounded to the nearest hundred):
[tex]d_{AB}=\sqrt{(4-(-4))^2+(-6-2)^2}\\\\d_{AB}=11.31\ units[/tex]
