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District questions ok now?
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Posted:
Sun Apr 01, 2007 11:14 am
by Celsion
Are district questions allowed to be asked now? If so, I'll post questions when someone replies with an ok.
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Posted:
Sun Apr 01, 2007 11:31 am
by MistaPotta
Sure. The testing windows are over.
~MP
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Posted:
Sun Apr 01, 2007 11:40 am
by Celsion
Thanks. Just two questions, already corrected most on District 1.
36. Points A, B, C, and D are on a circle O such that segment PA is a secant to circle O through point B and segment PC is a secant to circle O through point D. If PB=14", AB=20", PD=10" then CD=?
(a) 37[unparseable or potentially dangerous latex formula]
I used the power of a point theorem and got 47[unparseable or potentially dangerous latex formula] as the answer.
57. Given the function [unparseable or potentially dangerous latex formula] there is a possibility of how many positive real zeroes?
(b) 3 or 1
Anyways, is it me or does the test look so much easier when you go over it slowly?
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Posted:
Sun Apr 01, 2007 11:48 am
by MistaPotta
For 57: Descartes Law of Signs says to find the number of positive real roots, count the number of sign changes in your polynomial. Then, that number is the most possible (minus a multiple of two for possible conjugate complex roots).
Since your polynomial has three sign changes, three is the most possible. Subtracting two for a possible conjugate complex pair of roots, you get 3 or 1.
For 36, I think you found PC. Did you remember to subtract PD=10?
~MP
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Posted:
Sun Apr 01, 2007 11:51 am
by Celsion