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anonymous
 5 years ago
if p(x)= (x1)(x+k) and if the line tangent to the graph of p at the point (4, p(4)) is parallel to the line 5xy+6=0, then k=?
anonymous
 5 years ago
if p(x)= (x1)(x+k) and if the line tangent to the graph of p at the point (4, p(4)) is parallel to the line 5xy+6=0, then k=?

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watchmath
 5 years ago
Best ResponseYou've already chosen the best response.1Notice that the line 5xy+6=0 has slope 5. Hence the tangent line at (4,p(4)) has slope 5 as well. It means that p'(4)=5. But on the other hand p'(x)=(x+k)+(x1)=2x+k1. So p'(4)= 7+k=5. Therefore k=2.
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