Find the Distance Between Two Points (4,9) , (-2,6)

Math
(4,9) , (-2,6)
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.
((-2)-4)2+(6-9)2
Simplify.
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Subtract 4 from -2.
(-6)2+(6-9)2
Raise -6 to the power of 2.
36+(6-9)2
Subtract 9 from 6.
36+(-3)2
Raise -3 to the power of 2.
36+9
Add 36 and 9.
45
Rewrite 45 as 32⋅5.
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Factor 9 out of 45.
9(5)
Rewrite 9 as 32.
32⋅5
32⋅5
Pull terms out from under the radical.
35
35
The result can be shown in multiple forms.
Exact Form:
35
Decimal Form:
6.70820393…
Find the Distance Between Two Points (4,9) , (-2,6)

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