Given[tex]\begin{gathered} Points \\ (-4,5)\text{ and \lparen5,-5\rparen} \end{gathered}[/tex]Recall:Formula[tex]\begin{gathered} D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2} \\ \end{gathered}[/tex]Solution[tex]\begin{gathered} x_1=-4 \\ x_2=5 \\ y_1=5 \\ y_2=-5 \end{gathered}[/tex]
Now
[tex]\begin{gathered} D=\sqrt{(5--4)^2+(-5-5)^2} \\ D=\sqrt{(9)^2+(-10)^2} \\ D=\sqrt{81+100} \\ D=\sqrt{181} \\ D=13.45362 \end{gathered}[/tex]The final answerDistance: 13.45362
