Finite Math Examples

$(- 5, - 3)$ , $(5, - 7)$

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.

$\sqrt{{(5 - (- 5))}^{2} + {((- 7) - (- 3))}^{2}}$

Step 3

Simplify.

Tap for more steps...

Step 3.1

Multiply $- 1$ by $- 5$ .

$\sqrt{{(5 + 5)}^{2} + {((- 7) - (- 3))}^{2}}$

Step 3.2

Add $5$ and $5$ .

$\sqrt{10^{2} + {((- 7) - (- 3))}^{2}}$

Step 3.3

Raise $10$ to the power of $2$ .

$\sqrt{100 + {((- 7) - (- 3))}^{2}}$

Step 3.4

Multiply $- 1$ by $- 3$ .

$\sqrt{100 + {(- 7 + 3)}^{2}}$

Step 3.5

Add $- 7$ and $3$ .

$\sqrt{100 + {(- 4)}^{2}}$

Step 3.6

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

$\sqrt{100 + 16}$

Step 3.7

Add $100$ and $16$ .

$\sqrt{116}$

Step 3.8

Rewrite $116$ as $2^{2} \cdot 29$ .

Tap for more steps...

Step 3.8.1

Factor $4$ out of $116$ .

$\sqrt{4 (29)}$

Step 3.8.2

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

$\sqrt{2^{2} \cdot 29}$

Step 3.9

Pull terms out from under the radical.

$2 \sqrt{29}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$2 \sqrt{29}$

Decimal Form:

$10.77032961 \dots$

Step 5