Question

Using the Distance Formula and the Pythagorean Theorem, find the distance, to the nearest tenth, from F

(3,2) to G (-5,-2).




The distance from F to G is

Answer 1

d = 8.9

Explanation:

`d=√((x_1-x_2)^2+(y_1-y_2)^2)\\\\(3,2)\quad\implies\quad x_1=3\,,\ \ y_1=2\\\\(-5,-2)\quad\implies\quad x_2=-5\,,\ \ y_2=-2\\\\d=√((3+5)^2+(2+2)^2)=√(8^2+4^2)=√(64+16)=√(80)\approx8.9`