Question

Find the distance between (10,-12) and (0,-7)Round your answer to the nearest hundredth.

Answer 1

We can calculate the distance between two points, knowing its coordinates, as:

`D=\sqrt[]{(x_1-x_2)^2+(y_1}-y_2)^2`

When applied to points (10,-12) and (0,-7), we get:

`\begin{gathered} D=\sqrt[]{(10-0)^2+(-12-(-7))^2} \\ D=\sqrt[]{10^2+(-12+7)^2} \\ D=\sqrt[]{100+(-5)^2} \\ D=\sqrt[]{100+25} \\ D=\sqrt[]{125}\approx11.18 \end{gathered}`

The distance, rounded to the nearest hundredth, is 11.18.