Question 416494


{{{d=sqrt((x[1]-x[2])^2+(y[1]-y[2])^2)}}} Start with the distance formula.



{{{d=sqrt((-3--4)^2+(-7-15)^2)}}} Plug in {{{x[1]=-3}}},  {{{x[2]=-4}}}, {{{y[1]=-7}}}, and {{{y[2]=15}}}.



{{{d=sqrt((1)^2+(-7-15)^2)}}} Subtract {{{-4}}} from {{{-3}}} to get {{{1}}}.



{{{d=sqrt((1)^2+(-22)^2)}}} Subtract {{{15}}} from {{{-7}}} to get {{{-22}}}.



{{{d=sqrt(1+(-22)^2)}}} Square {{{1}}} to get {{{1}}}.



{{{d=sqrt(1+484)}}} Square {{{-22}}} to get {{{484}}}.



{{{d=sqrt(485)}}} Add {{{1}}} to {{{484}}} to get {{{485}}}.



{{{d=sqrt(485)}}} Simplify the square root.



So the exact distance is {{{d=sqrt(485)}}} 



Which approximates to {{{d=22.023}}} 



So the distance between the two points is approximately 22.023 units. 



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