Pre-Algebra Examples

$(1, 2)$ , $(3, 9)$

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.

$\sqrt{{(3 - 1)}^{2} + {(9 - 2)}^{2}}$

Step 3

Simplify.

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Step 3.1

Subtract $1$ from $3$ .

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

Step 3.2

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

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

Step 3.3

Subtract $2$ from $9$ .

$\sqrt{4 + 7^{2}}$

Step 3.4

Raise $7$ to the power of $2$ .

$\sqrt{4 + 49}$

Step 3.5

Add $4$ and $49$ .

$\sqrt{53}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\sqrt{53}$

Decimal Form:

$7.28010988 \dots$

Step 5

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