Solving Math Homework with a Parent's Help

AI Thread Summary
A parent seeks assistance with their son's math homework, expressing difficulty due to a lack of familiarity with high school math concepts. The parent requests that an image related to the homework be reuploaded to a free image hosting site, as they cannot access it through the Math Help Forum. The discussion emphasizes the importance of using the theorem regarding angles and arcs in circle geometry. Participants are encouraged to provide solutions based on this theorem. The conversation highlights the challenges parents face when helping children with math assignments.
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Homework Statement


MT9bx.png

Homework Equations


The Attempt at a Solution


This isn't for me, my son asked me to solve this, and I don't remember high school math, seeing that it isn't my field of study.
 
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Can you reupload the image to a free image hosting site (http://imgur.com/, imageshack.us, etc)? I can't view that image as I'm not a member of Math Help Forum.
 
scurty said:
Can you reupload the image to a free image hosting site (http://imgur.com/, imageshack.us, etc)? I can't view that image as I'm not a member of Math Help Forum.

MT9bx.png
 
Use the theorem that states that the measure of an angle, having vertex on the circumference of a circle, is half the measure of the arc subtended by the angle.
 
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
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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