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dmckinnies8

07.04.2022

Mathematics

$\huge\boxed{\sqrt{218}}$

The distance formula is $\sqrt{(x_2 - x_1)^{2} + (y_2 - y_1)^{2}}$ , where (x_1, y_1) and (x_2, y_2) are the points.

Substitute in the values. $\sqrt{(3 - (-4))^{2} + (-7 - 6)^{2}}$

Simplify the negative subtraction. $\sqrt{(3 + 4)^{2} + (-7 - 6)^{2}}$

Add and subtract. $\sqrt{7^{2} + (-13)^{2}}$

Solve the exponents. $\boxed{\sqrt{218}}$

The square root of 218 cannot be simplified.

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