Precalculus Examples

$(8, 5)$ , $(0, 20)$

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.

$\sqrt{{(0 - 8)}^{2} + {(20 - 5)}^{2}}$

Step 3

Simplify.

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Step 3.1

Subtract $8$ from $0$ .

$\sqrt{{(- 8)}^{2} + {(20 - 5)}^{2}}$

Step 3.2

Raise $- 8$ to the power of $2$ .

$\sqrt{64 + {(20 - 5)}^{2}}$

Step 3.3

Subtract $5$ from $20$ .

$\sqrt{64 + 15^{2}}$

Step 3.4

Raise $15$ to the power of $2$ .

$\sqrt{64 + 225}$

Step 3.5

Add $64$ and $225$ .

$\sqrt{289}$

Step 3.6

Rewrite $289$ as $17^{2}$ .

$\sqrt{17^{2}}$

Step 3.7

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

$17$

Step 4