Question

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Answer 1

Well, to begin with, do you know the distance formula?

Answer 2

Okay. So set the distance formula up to where it equals \(\sqrt{73}\) Okay?

Answer 3

Then plug in our points (n will be x1) and once you get there, show me :)

Answer 4

its the distance formula....there is x1, y1, x2 and y2 that you need to plug in...I'll just show you lol

Answer 5

yes

Answer 6

Oops....then, square both sides to cancel the sqrts
\[(\sqrt73)^2=(\sqrt{((-3)-(n))^2+((11)-(8))^2}~~)^2\]
\[73=(-3-n)^2+(11-8)^2\]
\[73=(-3-n)^2+(3)^2\]
\[73=(-3-n)^2+9\]
You got an idea of what to do next?

Answer 7

Okay, that's perfectly fine :P

Answer 8

\[73=(-3-n)^2+9\]
so we have this ^^ and we need to be able to get n isolated. So we need to subtract 9 from both sides and then square root both sides.
\[\sqrt{64}=\sqrt{(-3-n)^2}\]
\[8=-3-n\]
\[n+8=-3\]
\[n=-11\]

Answer 9

you're welcome!