Geometry: Area of Trapezoid Circumscribed About A Circle

AI Thread Summary
The discussion revolves around a problem involving the area of a trapezoid that is circumscribed about a circle. The user seeks urgent assistance and provides a link to an image for reference. They mention receiving some hints from another forum but are unable to locate that thread. The user expresses frustration over potentially posting in the wrong forum and thanks the community for any help. The focus remains on finding a solution to the trapezoid area problem.
Yuki
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Hiii, this is a problem that I have encountered and I need help ASAP.
This is the figure:
http://img404.imageshack.us/img404/1120/mathhelpppp6yk.gif
Thanks a lot!


P.S. I apologize for posting at wrong forum
 
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Thanks! T.T I couldn't find the thread, I thought my post was deleted because I posted in wrong forum.. Thanks a lot =D ><
 

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I tried to combine those 2 formulas but it didn't work. I tried using another case where there are 2 red balls and 2 blue balls only so when combining the formula I got ##\frac{(4-1)!}{2!2!}=\frac{3}{2}## which does not make sense. Is there any formula to calculate cyclic permutation of identical objects or I have to do it by listing all the possibilities? Thanks
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Thread 'Greatest possible value of a constant in polynomial'

Since ##px^9+q## is the factor, then ##x^9=\frac{-q}{p}## will be one of the roots. Let ##f(x)=27x^{18}+bx^9+70##, then: $$27\left(\frac{-q}{p}\right)^2+b\left(\frac{-q}{p}\right)+70=0$$ $$b=27 \frac{q}{p}+70 \frac{p}{q}$$ $$b=\frac{27q^2+70p^2}{pq}$$ From this expression, it looks like there is no greatest value of ##b## because increasing the value of ##p## and ##q## will also increase the value of ##b##. How to find the greatest value of ##b##? Thanks
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