WRONG VERTEX!! From you know who! 

Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
 two parabolas are defined by y=x^2-x-12 and y=-0.5x^2+5x+100. what is the distance between their vertices ?

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y=x^2-x-12

Vertex at (0.5,-12.25)

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y=-0.5x^2+5x+100

Vertex at (5,112.5)

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distance = sqrt(4.5^2 + 124.75^2)

=~ 124.83 units 

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