Calculus Examples

$(17, 5)$ , $(5, 0)$

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.

$\sqrt{{(5 - 17)}^{2} + {(0 - 5)}^{2}}$

Step 3

Simplify.

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Step 3.1

Subtract $17$ from $5$ .

$\sqrt{{(- 12)}^{2} + {(0 - 5)}^{2}}$

Step 3.2

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

$\sqrt{144 + {(0 - 5)}^{2}}$

Step 3.3

Subtract $5$ from $0$ .

$\sqrt{144 + {(- 5)}^{2}}$

Step 3.4

Raise $- 5$ to the power of $2$ .

$\sqrt{144 + 25}$

Step 3.5

Add $144$ and $25$ .

$\sqrt{169}$

Step 3.6

Rewrite $169$ as $13^{2}$ .

$\sqrt{13^{2}}$

Step 3.7

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

$13$

Step 4