Find the Distance Between Two Points (4,6) , (-6,26)

Math
(4,6) , (-6,26)
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.
((-6)-4)2+(26-6)2
Simplify.
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Subtract 4 from -6.
(-10)2+(26-6)2
Raise -10 to the power of 2.
100+(26-6)2
Subtract 6 from 26.
100+202
Raise 20 to the power of 2.
100+400
Add 100 and 400.
500
Rewrite 500 as 102⋅5.
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Factor 100 out of 500.
100(5)
Rewrite 100 as 102.
102⋅5
102⋅5
Pull terms out from under the radical.
105
105
The result can be shown in multiple forms.
Exact Form:
105
Decimal Form:
22.36067977…
Find the Distance Between Two Points (4,6) , (-6,26)

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