Question

Use the distance formula to find the distance between the points given.(-4,5), (5, -5)

Answer 1

Given
`\begin{gathered} Points \\ (-4,5)\text{ and \lparen5,-5\rparen} \end{gathered}`Recall:Formula
`\begin{gathered} D=√((x_2-x_1)^2+(y_2-y_1)^2) \\ \end{gathered}`Solution
`\begin{gathered} x_1=-4 \\ x_2=5 \\ y_1=5 \\ y_2=-5 \end{gathered}`

Now

`\begin{gathered} D=√((5--4)^2+(-5-5)^2) \\ D=√((9)^2+(-10)^2) \\ D=√(81+100) \\ D=√(181) \\ D=13.45362 \end{gathered}`The final answerDistance: 13.45362