Question

Find the distance between the points
(2,5) and (-4,-1)
exact distance : 6√2
so what is the approximate distance, round to the nearest thousandth as needed

Answer 1

$\boxed{d=\sqrt{(x_a-x_b)^2+(y_a-y_b)^2}}\\ \\ d=\sqrt{(2-(-4))^2+(5-(-1))^2}\\ \\ d = \sqrt{(2+4)^2+(5+1)^2}\\ \\ d=\sqrt{6^2+6^2}\\ \\ d=\sqrt{36+36}\\ \\ d=\sqrt{72}\\ \\ d=\sqrt{2}\cdot\sqrt{36}\\ \\ \boxed{d=6\sqrt{2}}$

$\sqrt{2} = 1,41\\ \\ \boxed{d\approx8,5}$

Answer 2

I explained everything in the picture and highlighted some important information. Btw, the stuff at the top is something else so don't pay it any attention