Question

Find the distance between (-12,1) and (12,-1)

Answer 1

ANSWER: Exact Form: 2$\sqrt{145}$

Decimal Form:  24.08318915

STEP-BY-STEP EXPLANATION:

(-12,1)  (12,-1)

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

Distance = $\sqrt{(X2-X1)^{2 }+ (Y2-Y1)^{2} }$

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

$\sqrt{(12-(-12))^{2 }+ ((-1)-1)^{2} }$

Multiply  -1 BY -12

$\sqrt{(12+12)^{2 }+ ((-1)-1)^{2} }$

Add 12 and 12

$\sqrt{24^{2} +((-1)-1)^{2} }$

Raise 24 to the power of 2

$\sqrt{576 +((-1)-1)^{2} }$

$\sqrt{576+4}$

$\sqrt{580}$

Rewrite 580 as $2^{2}$·145

Factor 4 out of 580

$\sqrt{4(145)}$

Rewrite 4 as $2^{2}$

$\sqrt{2^{2}(145) }$

Pull terms out from under the radical.

2$\sqrt{145}$

The result can be shown in multiple forms.

Exact Form: 2$\sqrt{145}$

Decimal Form:  24.08318915