Question

Find the distance between the points (-8, -10) and (-2, -2) round decimals to the nearest 10th

Answer 1

10 units

Explanation:

Given the following points (-8, -10) and (-2, -2).

We can calculate the distance between the two points using the following formula:

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

We replacing:

`\begin{gathered} d=√(\left(-2-\left(-8\right)\right)^2+\left(-2-\left(-10\right)\right)^2) \\ d=\sqrt[]{\mleft(-2+8\mright)^2+\mleft(-2+10\mright)^2} \\ d=\sqrt[]{6^2+8^2} \\ d=\sqrt[]{36+64} \\ d=\sqrt[]{100}=10 \end{gathered}`

The distance is 10 units.