Finite Math Examples

(1, 2)

$(1, 2)$ ,

(2, 9)

$(2, 9)$

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}}

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

Step 2

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

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

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

Step 3

Simplify.

Tap for more steps...

Step 3.1

Subtract

1

$1$ from

2

$2$ .

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

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

Step 3.2

One to any power is one.

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

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

Step 3.3

Subtract

2

$2$ from

9

$9$ .

\sqrt{1 + 7^{2}}

$\sqrt{1 + 7^{2}}$

Step 3.4

Raise

7

$7$ to the power of

2

$2$ .

\sqrt{1 + 49}

$\sqrt{1 + 49}$

Step 3.5

Add

1

$1$ and

49

$49$ .

\sqrt{50}

$\sqrt{50}$

Step 3.6

Rewrite

50

$50$ as

5^{2} \cdot 2

$5^{2} \cdot 2$ .

Tap for more steps...

Step 3.6.1

Factor

25

$25$ out of

50

$50$ .

\sqrt{25 (2)}

$\sqrt{25 (2)}$

Step 3.6.2

Rewrite

25

$25$ as

5^{2}

$5^{2}$ .

\sqrt{5^{2} \cdot 2}

$\sqrt{5^{2} \cdot 2}$

\sqrt{5^{2} \cdot 2}

$\sqrt{5^{2} \cdot 2}$

Step 3.7

Pull terms out from under the radical.

5 \sqrt{2}

$5 \sqrt{2}$

5 \sqrt{2}

$5 \sqrt{2}$

Step 4

The result can be shown in multiple forms.

Exact Form:

5 \sqrt{2}

$5 \sqrt{2}$

Decimal Form:

7.07106781 \dots

$7.07106781 \dots$

Step 5

Enter YOUR Problem