3 years ago

Choose the points that are solutions to this:

Mathematics

1 answer:

Scorpion4ik [409]3 years ago

6 0

Answer:

b. (3,3)

Step-by-step explanation:

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Find the equation of the problem

pogonyaev

$6\sin^2\theta-\sin\theta=1\ \ \ -1\\\\6\sin^2\theta-\sin\theta-1=0\\\\6\sin\theta-3\sin\theta+2\sin\theta-1=0\\\\3\sin\theta(2\sin\theta-1)+1(2\sin\theta-1)=0\\\\(2\sin\theta-1)(3\sin\theta+1)=0\iff2\sin\theta-1=0\ \vee\ 3\sin\theta+1=0\\\\2\sin\theta=1\ \ |:2\ \ \vee\ \ 3\sin\theta=-1\ \ |:3\\\\\sin\theta=\dfrac{1}{2}\ \vee\ \sin\theta=-\dfrac{1}{3}\\\\$
$\theta=30^o\ \vee\ \theta=150^o\ \vee\ \theta=360^o-\sin^{-1}\left(\dfrac{1}{3}\right)\ \vee\ \theta=180^o+\sin^{-1}\left(\dfrac{1}{3}\right)$

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3 years ago

What are all the factor strings of 840?

nexus9112 [7]

$840|2\\420|2\\210|2\\105|5\\.\ 21|3\\.\ \ 7|7\\.\ \ 1|\\\\840=2\times2\times2\times5\times3\times7=2^3\times3\times5\times7$