Finite Math Examples

$(3, - 3)$ , $(- 1, 3)$

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.

$\sqrt{{((- 1) - 3)}^{2} + {(3 - (- 3))}^{2}}$

Step 3

Simplify.

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Step 3.1

Subtract $3$ from $- 1$ .

$\sqrt{{(- 4)}^{2} + {(3 - (- 3))}^{2}}$

Step 3.2

Raise $- 4$ to the power of $2$ .

$\sqrt{16 + {(3 - (- 3))}^{2}}$

Step 3.3

Multiply $- 1$ by $- 3$ .

$\sqrt{16 + {(3 + 3)}^{2}}$

Step 3.4

Add $3$ and $3$ .

$\sqrt{16 + 6^{2}}$

Step 3.5

Raise $6$ to the power of $2$ .

$\sqrt{16 + 36}$

Step 3.6

Add $16$ and $36$ .

$\sqrt{52}$

Step 3.7

Rewrite $52$ as $2^{2} \cdot 13$ .

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Step 3.7.1

Factor $4$ out of $52$ .

$\sqrt{4 (13)}$

Step 3.7.2

Rewrite $4$ as $2^{2}$ .

$\sqrt{2^{2} \cdot 13}$

Step 3.8

Pull terms out from under the radical.

$2 \sqrt{13}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$2 \sqrt{13}$

Decimal Form:

$7.21110255 \dots$

Step 5