Answer :

SOLUTION

We are to find the distance between the points

Q(10, 10) and N(10,-2)

We will use the distance formula

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Applying we have

[tex]\begin{gathered} d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2} \\ d=\sqrt{(10-10)^2+(-2-10)^2} \\ d=\sqrt{0^2+(-12)^2} \\ d=\sqrt{0+144} \\ d=\sqrt{144} \\ d=12 \end{gathered}[/tex]

Hence the answer is 12

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