Question

Find the distance between the two pony in simplest radical form (-9,3) and (-3,-5)

Answer 1

Given the points ( -9 , 3 ) and ( -3 , -5 )

And we need to the distance between them

The formula to find the distance d is :

$d=\sqrt[]{(x2-x1)^2+(y2-y1)^2}$

so, the distance =

$\begin{gathered} d=\sqrt[]{(-3-(-9))^2+(-5-3)^2} \\ d=\sqrt[]{(-3+9)^2+(-5-3)^2} \\ d=\sqrt[]{6^2+(-8)^2} \\ d=\sqrt[]{36+64}=\sqrt[]{100} \\ d=10 \end{gathered}$

so, the distance = 10