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worty [1.4K]
4 years ago
9

For f(x)=3x-2 and g(x)=2x+1, find (f+g)(x)

Mathematics
1 answer:
Andrew [12]4 years ago
8 0
(f+g)(x)=f(x)+g(x)
=3x-2+2x+1
=5x-1
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If sec theta = - √30 / 3, find cos theta.<br> if sin(-theta) = -0.97, find cos (π/2 - theta).
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Step-by-step explanation:

\cos \theta  =  \frac{1}{ \sec\theta }  =  -  \frac{3}{ \sqrt{30} }  =  -  \frac{3 \sqrt{30} }{30}   =  -  \frac{ \sqrt{30} }{10}

\cos( \frac{\pi}{2} -  \theta )=  \cos \frac{\pi}{2}  \cos \theta  +   \sin \frac{\pi}{2}  \sin \theta

Note that

\sin( - \theta) =  -  \sin \theta

\cos \frac{\pi}{2}  = 0 \:  \:  \:  \:  \:  \sin \frac{\pi}{2}  = 1

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\cos( \frac{\pi}{2} -  \theta )  = 0.97

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Given parallelogram ABCD, find x, y, length AB and Length BC.
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