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What is the value of k if point P(k, k sqrt(3)) is 4 units from the line 5x+3y=12?

I tried just finding perpendiculars and doing equations and stuff, and got +/- (48sqrt(3)-80)/3, but it's wrong. some help?

 Oct 12, 2018
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"What is the value of k if point P(k, k sqrt(3)) is 4 units from the line 5x+3y=12?"

 

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 Oct 12, 2018

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