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

Respuesta :

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

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

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

[tex]\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}[/tex]

The distance between the points is approximately 7.81 units.