Question

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

Answer 1

Answer:

$AB\approx 6.7\ units$

Step-by-step explanation:

Distance between two points: Distance between two points $(x_1,y_1)\ and\ (x_2,y_2)$ is given by

$d=\sqrt{(y_2-y_1)^2+(x_2-x_1)^2$

$A(-4,4)\ and\ B(2,1)\\\\AB=\sqrt{(1-4)^2+(2+4)^2}\\\\AB=\sqrt{(-3)^2+(6)^2}\\\\AB=\sqrt{45}\\\\AB=3\sqrt{5}\\\\AB\approx 6.7\ units$