Question

find the distance between points M(-1,-10) and (-12,-3). round to the nearest tenth

Answer 1

The formula of the distance between two points:

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

We have the points (-1, -10) and (-12, -3). Substitute:

$d=\sqrt{(-12-(-1))^2+(-3-(-10))^2}=\sqrt{(-11)^2+7^2}=\sqrt{121+49}=\sqrt{170}$

$\sqrt{170}\approx13.04$

Answer: d ≈ 13.0