## The coordinates of AB are A(-4,4) and B(2,1) which measurement is closest to the length of AB units

Question

The coordinates of AB are A(-4,4) and B(2,1) which measurement is closest to the length of AB units

in progress 0
3 months 2022-02-14T02:23:53+00:00 1 Answer 0 views 0

$$AB\approx 6.7\ units$$
Distance between two points: Distance between two points $$(x_1,y_1)\ and\ (x_2,y_2)$$ is given by
$$d=\sqrt{(y_2-y_1)^2+(x_2-x_1)^2$$
$$A(-4,4)\ and\ B(2,1)\\\\AB=\sqrt{(1-4)^2+(2+4)^2}\\\\AB=\sqrt{(-3)^2+(6)^2}\\\\AB=\sqrt{45}\\\\AB=3\sqrt{5}\\\\AB\approx 6.7\ units$$