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.(2,−5) and (7,4)The distance between the two points is Answer

Answer 1

The fromula find distance between two point is:

`D=\sqrt[]{((x_2-x_1)^2+(y_2-y_(1)^2))}`

Apply the formula

`\begin{gathered} x_2=7 \\ x_1=2 \\ y_2=4 \\ y_1=-5 \end{gathered}`

Put the all value in distance formula:

`\begin{gathered} D=\sqrt[]{((7-2)^2+(4-(-5))^2)_{}} \\ =\sqrt[]{25+81} \\ =\sqrt[]{106} \\ =10.29 \end{gathered}`

so the distance between two point is:

`10.29`