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

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

Answer 2

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


`√(2) = 1,41\\ \\ \boxed{d\approx8,5}`