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zysi [14]
3 years ago
14

Please answer only question 20.

Mathematics
1 answer:
ioda3 years ago
6 0
4x+8(x+1)+y+2x = 14x+11
4x+8x+8+y+2x = 14x+11
14x+8+y = 14x+11
-14x-8        -14x-8
y = 3

So, 4x+8(x+1)+3+2x
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The beginning of the line segment starts at 5, and ends at 9.

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Answer:

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Step-by-step explanation:

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Can anyone explain those marked steps in case (iii)
Tema [17]
\cos\dfrac{3x}2=\cos\left(\dfrac\pi2+\dfrac x2\right)
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follows from the fact that the cosine function is 2\pi-periodic, which means \cos x=\cos(2\pi+x). Roughly speaking, this is the same as saying that a point on a circle is the same as the point you get by completing a full revolution around the circle (i.e. add 2\pi to the original point's angle with respect to the horizontal axis).

If you make another complete revolution (so we're effectively adding 4\pi) we get the same result: \cos x=\cos(4\pi+x). This is true for any number of complete revolutions, so that this pattern holds for any even multiple of \pi added to the argument. Therefore \cos x=\cos(2n\pi+x) for any integer n.

Next, because \cos(-x)=\cos x, it follows that \cos x=\cos(2n\pi-x) is also true for any integer n. So we have

\implies \dfrac{3x}2=2n\pi\pm\left(\dfrac\pi2+\dfrac x2\right)

The rest follows from considering either case and solving for x.
5 0
3 years ago
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