Question 390005

Note: *[Tex \LARGE \left(x_{1}, y_{1}\right)] is the first point *[Tex \LARGE \left(4,-1\right)]. So this means that {{{x[1]=4}}} and {{{y[1]=-1}}}.

Also, *[Tex \LARGE \left(x_{2}, y_{2}\right)] is the second point *[Tex \LARGE \left(7,5\right)].  So this means that {{{x[2]=7}}} and {{{y[2]=5}}}.

{{{d=sqrt((4-7)^2+(-1-5)^2)}}} Plug in {{{x[1]=4}}},  {{{x[2]=7}}}, {{{y[1]=-1}}}, and {{{y[2]=5}}}.

{{{d=sqrt((-3)^2+(-1-5)^2)}}} Subtract {{{7}}} from {{{4}}} to get {{{-3}}}.

{{{d=sqrt((-3)^2+(-6)^2)}}} Subtract {{{5}}} from {{{-1}}} to get {{{-6}}}.

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

{{{d=sqrt(9+36)}}} Square {{{-6}}} to get {{{36}}}.

{{{d=sqrt(45)}}} Add {{{9}}} to {{{36}}} to get {{{45}}}.

Now if each of your answer choices are in square roots, then this would mean that the answer is choice 4) {{{sqrt(45)}}}

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