Finite Math Examples

(5, 2)

$(5, 2)$ ,

(5, 3)

$(5, 3)$

Step 1

Use the distance formula to determine the distance between the two points.

Distance = \sqrt{{(x_{2} - x_{1})}_{2}^{2} + {(y_{2} - y_{1})}_{2}^{2}}

$Distance = \sqrt{{(x_{2} - x_{1})}^{2} + {(y_{2} - y_{1})}^{2}}$

Step 2

Substitute the actual values of the points into the distance formula.

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

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

Step 3

Simplify.

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Step 3.1

Subtract

5

$5$ from

5

$5$ .

\sqrt{0^{2} + {(3 - 2)}^{2}}

$\sqrt{0^{2} + {(3 - 2)}^{2}}$

Step 3.2

Raising

0

$0$ to any positive power yields

0

$0$ .

\sqrt{0 + {(3 - 2)}^{2}}

$\sqrt{0 + {(3 - 2)}^{2}}$

Step 3.3

Subtract

2

$2$ from

3

$3$ .

\sqrt{0 + 1^{2}}

$\sqrt{0 + 1^{2}}$

Step 3.4

One to any power is one.

\sqrt{0 + 1}

$\sqrt{0 + 1}$

Step 3.5

Add

0

$0$ and

1

$1$ .

\sqrt{1}

$\sqrt{1}$

Step 3.6

Any root of

1

$1$ is

1

$1$ .

1

$1$

1

$1$

Step 4