Precalculus Examples

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

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

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

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

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

Simplify.

Tap for more steps...

Subtract $1$ from $3$ .

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

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

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

Subtract $2$ from $9$ .

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

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

$\sqrt{4 + 49}$

Add $4$ and $49$ .

$\sqrt{53}$

The result can be shown in multiple forms.

Exact Form:

$\sqrt{53}$

Decimal Form:

$7.28010988 \dots$

Enter YOUR Problem