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3 years ago

Simplify the expression. 3x + 3x

Mathematics

2 answers:

gregori [183]3 years ago

8 0

Answer:

the answer is 6x

Step-by-step explanation:

Why it is 6x, is because 3+3 is 6. And x+x is x, so the answer is 6x

OverLord2011 [107]3 years ago

4 0

Here, just add the coefficients. 3x + 3x = 6x.

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3 years ago

If 180° < α < 270°, cos⁡ α = −817, 270° < β < 360°, and sin⁡ β = −45, what is cos⁡ (α + β)?

eduard

Answer:

$cos(\alpha+\beta)=-\frac{84}{85}$

Step-by-step explanation:

we know that

$cos(\alpha+\beta)=cos(\alpha)*cos(\beta)-sin(\alpha)*sin(\beta)$

Remember the identity

$cos^{2} (x)+sin^2(x)=1$

step 1

Find the value of $sin(\alpha)$

we have that

The angle alpha lie on the III Quadrant

The values of sine and cosine are negative

$cos(\alpha)=-\frac{8}{17}$

Find the value of sine

$cos^{2} (\alpha)+sin^2(\alpha)=1$

substitute

$(-\frac{8}{17})^{2}+sin^2(\alpha)=1$

$sin^2(\alpha)=1-\frac{64}{289}$

$sin^2(\alpha)=\frac{225}{289}$

$sin(\alpha)=-\frac{15}{17}$

step 2

Find the value of $cos(\beta)$

we have that

The angle beta lie on the IV Quadrant

The value of the cosine is positive and the value of the sine is negative

$sin(\beta)=-\frac{4}{5}$

Find the value of cosine

$cos^{2} (\beta)+sin^2(\beta)=1$

substitute

$(-\frac{4}{5})^{2}+cos^2(\beta)=1$

$cos^2(\beta)=1-\frac{16}{25}$

$cos^2(\beta)=\frac{9}{25}$

$cos(\beta)=\frac{3}{5}$

step 3

Find cos⁡ (α + β)

$cos(\alpha+\beta)=cos(\alpha)*cos(\beta)-sin(\alpha)*sin(\beta)$

we have

$cos(\alpha)=-\frac{8}{17}$

$sin(\alpha)=-\frac{15}{17}$

$sin(\beta)=-\frac{4}{5}$

$cos(\beta)=\frac{3}{5}$

substitute

$cos(\alpha+\beta)=-\frac{8}{17}*\frac{3}{5}-(-\frac{15}{17})*(-\frac{4}{5})$

$cos(\alpha+\beta)=-\frac{24}{85}-\frac{60}{85}$

$cos(\alpha+\beta)=-\frac{84}{85}$

4 0

3 years ago

I don’t know my homework

GenaCL600 [577]

<h3>Whats your question?</h3>

7 0

3 years ago

Read 2 more answers

Help me out on this one i will give u brainlyiest

nexus9112 [7]

Answer:

Step-by-step explanation:

1. First step

ADD

7+4=11

7+5=12

11 $\frac{12}{8}$

2. Second step

Now simplify

11 12/8 = 12 4/8 = 12 1/2

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Thanks!

Answered by: FieryAnswererGT

#learnwithbrainly

Want to thank me? JUST MARK ME BRAINLIEST! So simple!

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2 years ago

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Answer:

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Step-by-step explanation:

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