Finite Math Examples

$(- 2, 4)$ , $(1, 5)$

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.

$\sqrt{{(1 - (- 2))}^{2} + {(5 - 4)}^{2}}$

Step 3

Simplify.

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Step 3.1

Multiply $- 1$ by $- 2$ .

$\sqrt{{(1 + 2)}^{2} + {(5 - 4)}^{2}}$

Step 3.2

Add $1$ and $2$ .

$\sqrt{3^{2} + {(5 - 4)}^{2}}$

Step 3.3

Raise $3$ to the power of $2$ .

$\sqrt{9 + {(5 - 4)}^{2}}$

Step 3.4

Subtract $4$ from $5$ .

$\sqrt{9 + 1^{2}}$

Step 3.5

One to any power is one.

$\sqrt{9 + 1}$

Step 3.6

Add $9$ and $1$ .

$\sqrt{10}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\sqrt{10}$

Decimal Form:

$3.16227766 \dots$

Step 5