Precalculus Examples

$(12, 12)$ , $(12, 24)$

Step 1

Use the distance formula to determine the distance between the two points.

$Distance = \sqrt{{(x_{2} - x_{1})}^{2} + {(y_{2} - y_{1})}^{2}}$

Step 2

Substitute the actual values of the points into the distance formula.

$\sqrt{{(12 - 12)}^{2} + {(24 - 12)}^{2}}$

Step 3

Simplify.

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Subtract $12$ from $12$ .

$\sqrt{0^{2} + {(24 - 12)}^{2}}$

Raising $0$ to any positive power yields $0$ .

$\sqrt{0 + {(24 - 12)}^{2}}$

Subtract $12$ from $24$ .

$\sqrt{0 + 12^{2}}$

Raise $12$ to the power of $2$ .

$\sqrt{0 + 144}$

Add $0$ and $144$ .

$\sqrt{144}$

Rewrite $144$ as $12^{2}$ .

$\sqrt{12^{2}}$

Pull terms out from under the radical, assuming positive real numbers.

$12$

Step 4

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