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

Answer:

       d = 8.9

Step-by-step explanation:

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