Question 87354
Start with the given distance formula

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


{{{d=sqrt((-4--5)^2+(0--3)^2)}}} Plug in {{{x[1]=-4}}}, {{{x[2]=0}}}, {{{y[1]=-5}}}, {{{y[2]=-3}}}


{{{d=sqrt((1)^2+(3)^2)}}} Subtract {{{-4--5}}} to get 1. Subtract {{{0--3}}} to get 3.


{{{d=sqrt(1+9)}}} Square each value


{{{d=sqrt(10)}}} Add each value


{{{d=sqrt(10)}}} Simplify the square root



Which approximates to


{{{d=3.16227766016838}}}

So the distance between (-4,0) and (-5,-3) is about 3.16227766016838



So you are correct