Question

Find the distance between the two points below. If your answer is not an integer then type it as a decimal rounded to the nearest hundredth.(10,0) and (5,6)The distance between the two points is Answer

Answer 1

The distance between two points can be found with the following equation:

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

Applying the data for the two points, we can find the distance as shown below:

`\begin{gathered} D=\sqrt[]{(5-10)^2+(6-0)^2} \\ D=\sqrt[]{(-5)^2+6^2} \\ D=\sqrt[]{25+36} \\ D=\sqrt[]{61} \\ D=7.81 \end{gathered}`

The distance between the points is approximately 7.81 units.