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3 years ago

5

Which of the following statements are true for 3m + 6n + 5? a) 3m + 6n + 5 contains three terms b) 3m + 6n + 5 contains 2 terms

c) the coefficient of the m term is 5 d) 3m + 6n + 5 is an equation

1 answer:

Reptile [31]3 years ago

3 0

Answer:

option a is true...

As ot is of 3 terms 3m,6n,5

All other option are wrong

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Rewrite with only sin x and cos x.

Annette [7]

Option A

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<em><u>Solution:</u></em>

Given that we have to rewrite with only sin x and cos x

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$cos 3x = cos(x + 2x)$

We know that,

$\cos (a+b)=\cos a \cos b-\sin a \sin b$

Therefore,

$\cos (x+2 x)=\cos x \cos 2 x-\sin x \sin 2 x$ ---- eqn 1

We know that,

$\sin 2 x=2 \sin x \cos x$

$\cos 2 x=\cos ^{2} x-\sin ^{2} x$

Substituting these values in eqn 1

$\cos (x+2 x)=\cos x\left(\cos ^{2} x-\sin ^{2} x\right)-\sin x(2 \sin x \cos x)$ -------- eqn 2

We know that,

$\cos ^{2} x-\sin ^{2} x=1-2 \sin ^{2} x$

Applying this in above eqn 2, we get

$\cos (x+2 x)=\cos x\left(1-2 \sin ^{2} x\right)-\sin x(2 \sin x \cos x)$

$\begin{aligned}&\cos (x+2 x)=\cos x-2 \sin ^{2} x \cos x-2 \sin ^{2} x \cos x\\\\&\cos (x+2 x)=\cos x-4 \sin ^{2} x \cos x\end{aligned}$

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Therefore,

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Option A is correct

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3 years ago

Each time Shelley goes tobthe store she likes to buy gum.She buys one pack for $1.00 and then another pack for $0.50 more.How mu

Umnica [9.8K]

Answer:

$2.50

Step-by-step explanation:

Shelley buys one pack of gum for $1

Price of gum: $1

Total amount of money spent: $1.00

Shelley buys another pack of gum for $0.50 more

1 + 0.50 = 1.5

Price of gum: $1.50

Total amount of money spent: $2.50

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2 years ago

2) A gym charges a $30 membership fee and $10 per month. Write an

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C = 10m + 30, where C is total cost and m is # of months

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$160 = 10m + 30

160 - 30 = 10m

130/10 = m

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I can't even do that tho im not verified

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h that happens. to me

Step-by-step explanation:

all the time

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3 years ago

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nadezda [96]

Answer:

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Step-by-step explanation:

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3 years ago

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