Find the Distance Between Two Points (3,-5) , (-7,-1)

Math
(3,-5) , (-7,-1)
Use the distance formula to determine the distance between the two points.
Distance=(x2-x1)2+(y2-y1)2
Substitute the actual values of the points into the distance formula.
((-7)-3)2+((-1)-(-5))2
Simplify.
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Subtract 3 from -7.
(-10)2+((-1)-(-5))2
Raise -10 to the power of 2.
100+((-1)-(-5))2
Multiply -1 by -5.
100+(-1+5)2
Add -1 and 5.
100+42
Raise 4 to the power of 2.
100+16
Add 100 and 16.
116
Rewrite 116 as 22⋅29.
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Factor 4 out of 116.
4(29)
Rewrite 4 as 22.
22⋅29
22⋅29
Pull terms out from under the radical.
229
229
The result can be shown in multiple forms.
Exact Form:
229
Decimal Form:
10.77032961…
Find the Distance Between Two Points (3,-5) , (-7,-1)

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