Question 87214
Start with the given distance formula

{{{d=sqrt((x[1]-x[2])^2+(y[1]-y[2])^2))}}}


{{{d=sqrt((-3-9)^2+(5--11)^2)}}} Plug in {{{x[1]=-3}}}, {{{x[2]=5}}}, {{{y[1]=9}}}, {{{y[2]=-11}}}


{{{d=sqrt((-12)^2+(16)^2)}}} Subtract {{{-3-9}}} to get -12. Subtract {{{5--11}}} to get 16.


{{{d=sqrt(144+256)}}} Square each value


{{{d=sqrt(400)}}} Add each value


{{{d=20}}} Simplify the square root

So the distance between (-3,5) and (9,-11) is 20