Basic Math Examples

find the distance between the pair of points

(18, 22)

$(18, 22)$ and

(- 13, - 7)

$(- 13, - 7)$

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}}

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

Step 2

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

\sqrt{{((- 13) - 18)}^{2} + {((- 7) - 22)}^{2}}

$\sqrt{{((- 13) - 18)}^{2} + {((- 7) - 22)}^{2}}$

Step 3

Simplify.

Tap for more steps...

Step 3.1

Subtract

18

$18$ from

- 13

$- 13$ .

\sqrt{{(- 31)}^{2} + {((- 7) - 22)}^{2}}

$\sqrt{{(- 31)}^{2} + {((- 7) - 22)}^{2}}$

Step 3.2

Raise

- 31

$- 31$ to the power of

2

$2$ .

\sqrt{961 + {((- 7) - 22)}^{2}}

$\sqrt{961 + {((- 7) - 22)}^{2}}$

Step 3.3

Subtract

22

$22$ from

- 7

$- 7$ .

\sqrt{961 + {(- 29)}^{2}}

$\sqrt{961 + {(- 29)}^{2}}$

Step 3.4

Raise

- 29

$- 29$ to the power of

2

$2$ .

\sqrt{961 + 841}

$\sqrt{961 + 841}$

Step 3.5

Add

961

$961$ and

841

$841$ .

\sqrt{1802}

$\sqrt{1802}$

\sqrt{1802}

$\sqrt{1802}$

Step 4

The result can be shown in multiple forms.

Exact Form:

\sqrt{1802}

$\sqrt{1802}$

Decimal Form:

42.44997055 \dots

$42.44997055 \dots$

Step 5

find the distance between the pair of points

(18, 22)

$(18, 22)$ and

(- 13, - 7)

$(- 13, - 7)$

(

)

[

]

√



≥















≤





































