Question 88000
Start with the given distance formula

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


{{{d=sqrt((-2--5)^2+(9-15)^2)}}} Plug in {{{x[1]=-2}}}, {{{x[2]=-5}}}, {{{y[1]=9}}}, {{{y[2]=15}}}


{{{d=sqrt((3)^2+(-6)^2)}}} Evaluate {{{-2--5}}} to get 3. Evaluate {{{9-15}}} to get -6. 


{{{d=sqrt(9+36)}}} Square each value


{{{d=sqrt(45)}}} Add

Which approximates to


{{{d=6.70820393249937}}}


So the distance between (-2,9) and (-5,15) is about 6.70820393249937 


So the answer is A)