Find the Distance Between Two Points (-5,-4) , (-1,4)

Math
(-5,-4) , (-1,4)
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.
((-1)-(-5))2+(4-(-4))2
Simplify.
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Multiply -1 by -5.
(-1+5)2+(4-(-4))2
Add -1 and 5.
42+(4-(-4))2
Raise 4 to the power of 2.
16+(4-(-4))2
Multiply -1 by -4.
16+(4+4)2
Add 4 and 4.
16+82
Raise 8 to the power of 2.
16+64
Add 16 and 64.
80
Rewrite 80 as 42⋅5.
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Factor 16 out of 80.
16(5)
Rewrite 16 as 42.
42⋅5
42⋅5
Pull terms out from under the radical.
45
45
The result can be shown in multiple forms.
Exact Form:
45
Decimal Form:
8.94427190…
Find the Distance Between Two Points (-5,-4) , (-1,4)

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