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

Math
(5,-1) , (7,-7)
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.
(7-5)2+((-7)-(-1))2
Simplify.
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Subtract 5 from 7.
22+((-7)-(-1))2
Raise 2 to the power of 2.
4+((-7)-(-1))2
Multiply -1 by -1.
4+(-7+1)2
Add -7 and 1.
4+(-6)2
Raise -6 to the power of 2.
4+36
Add 4 and 36.
40
Rewrite 40 as 22⋅10.
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Factor 4 out of 40.
4(10)
Rewrite 4 as 22.
22⋅10
22⋅10
Pull terms out from under the radical.
210
210
The result can be shown in multiple forms.
Exact Form:
210
Decimal Form:
6.32455532…
Find the Distance Between Two Points (5,-1) , (7,-7)

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