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3 years ago

Translating Verbal Phrases To Algebraic Expression/Equations

Mathematics

1 answer:

Stells [14]3 years ago

3 0

Answer:

Step-by-step explanation:

I think you wish is:

6(x - y) = 12

I hope I've helped you.

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If 180°<α<270°, cos ⁡α= −8/17, 270°<β<360°, and sin β= −4/5, what is sin⁡(α+β)?

mars1129 [50]

Answer:

$\sin(\alpha+\beta) = -0.153$

Step-by-step explanation:

Let determine the angles behind each trigonometric expression:

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

$\alpha = \cos^{-1}\left(-\frac{8}{17} \right)$

Given that $180^{\circ}< \alpha < 270^{\circ}$ , the value of $\alpha$ is:

$\alpha \approx 241.928^{\circ}$

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

$\beta = \sin^{-1}\left(-\frac{4}{5} \right)$

Given that $270^{\circ}< \beta$ , the value of $\beta$ is:

$\beta \approx 306.870^{\circ}$

The sine function of the sum of angles can be determined by the following identity:

$\sin(\alpha + \beta)=\sin \alpha \cdot \cos \beta + \sin \beta \cdot \cos \alpha$

If $\alpha \approx 241.928^{\circ}$ and $\beta \approx 306.870^{\circ}$ , then:

$\sin (241.928^{\circ}+306.870^{\circ}) = (\sin 241.928^{\circ}) \cdot (\cos 306.870^{\circ}) + (\sin 306.870^{\circ})\cdot (\cos 241.928^{\circ})$ $\sin(241.928^{\circ}+306.870^{\circ}) = -0.153$

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4 years ago

Determine the value of x

Artemon [7]

Answer:

Step-by-step explanation:

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3 years ago

What is the coefficient of the x9y-term in the binomial expansion of (2y + 4x3)4?

Strike441 [17]

The answer to your question is D. 512

3 0

3 years ago

Read 2 more answers

Hello good morning!<br><br> (+73) + (-50) =

Andreyy89

Answer:

Step-by-step explanation:

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3 years ago

-49-X = -8x + 70<br> helppp

Afina-wow [57]

Answer:

x=17

Step-by-step explanation:Get everything to one side by using addition and subtraction and combine like terms. Once you have that set it equal to zero and put the b in Mx+b on the other side then divide it by m and you’ll have x

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3 years ago