Basic Math Examples

(- 5.7, 3.9)

$(- 5.7, 3.9)$ ,

(- 9.6, 1)

$(- 9.6, 1)$

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{{((- 9.6) - (- 5.7))}^{2} + {(1 - 3.9)}^{2}}

$\sqrt{{((- 9.6) - (- 5.7))}^{2} + {(1 - 3.9)}^{2}}$

Step 3

Simplify.

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Step 3.1

Multiply

- 1

$- 1$ by

- 5.7

$- 5.7$ .

\sqrt{{(- 9.6 + 5.7)}^{2} + {(1 - 3.9)}^{2}}

$\sqrt{{(- 9.6 + 5.7)}^{2} + {(1 - 3.9)}^{2}}$

Step 3.2

Add

- 9.6

$- 9.6$ and

5.7

$5.7$ .

\sqrt{{(- 3.9)}^{2} + {(1 - 3.9)}^{2}}

$\sqrt{{(- 3.9)}^{2} + {(1 - 3.9)}^{2}}$

Step 3.3

Raise

- 3.9

$- 3.9$ to the power of

2

$2$ .

\sqrt{15.21 + {(1 - 3.9)}^{2}}

$\sqrt{15.21 + {(1 - 3.9)}^{2}}$

Step 3.4

Subtract

3.9

$3.9$ from

1

$1$ .

\sqrt{15.21 + {(- 2.9)}^{2}}

$\sqrt{15.21 + {(- 2.9)}^{2}}$

Step 3.5

Raise

- 2.9

$- 2.9$ to the power of

2

$2$ .

\sqrt{15.21 + 8.41}

$\sqrt{15.21 + 8.41}$

Step 3.6

Add

15.21

$15.21$ and

8.41

$8.41$ .

\sqrt{23.62}

$\sqrt{23.62}$

\sqrt{23.62}

$\sqrt{23.62}$

Step 4

The result can be shown in multiple forms.

Exact Form:

\sqrt{23.62}

$\sqrt{23.62}$

Decimal Form:

4.86004115 \dots

$4.86004115 \dots$

Step 5