Finite Math Examples

$(5, 2)$ , $(5, 3)$

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.

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

Step 3

Simplify.

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Step 3.1

Subtract $5$ from $5$ .

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

Step 3.2

Raising $0$ to any positive power yields $0$ .

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

Step 3.3

Subtract $2$ from $3$ .

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

Step 3.4

One to any power is one.

$\sqrt{0 + 1}$

Step 3.5

Add $0$ and $1$ .

$\sqrt{1}$

Step 3.6

Any root of $1$ is $1$ .

$1$

Step 4