ANSWER: Exact Form:
2[tex]\sqrt{145}[/tex]
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 = [tex]\sqrt{(X2-X1)^{2 }+ (Y2-Y1)^{2} }[/tex]
Substitute the actual values of the points into the distance formula.
[tex]\sqrt{(12-(-12))^{2 }+ ((-1)-1)^{2} }[/tex]
Multiply -1 BY -12
[tex]\sqrt{(12+12)^{2 }+ ((-1)-1)^{2} }[/tex]
Add 12 and 12
[tex]\sqrt{24^{2} +((-1)-1)^{2} }[/tex]
Raise 24 to the power of 2
[tex]\sqrt{576 +((-1)-1)^{2} }[/tex]
[tex]\sqrt{576+4}[/tex]
[tex]\sqrt{580}[/tex]
Rewrite 580 as [tex]2^{2}[/tex]·145
Factor 4 out of 580
[tex]\sqrt{4(145)}[/tex]
Rewrite 4 as [tex]2^{2}[/tex]
[tex]\sqrt{2^{2}(145) }[/tex]
Pull terms out from under the radical.
2[tex]\sqrt{145}[/tex]
The result can be shown in multiple forms.
Exact Form:
2[tex]\sqrt{145}[/tex]
Decimal Form: 24.08318915
