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Crank
3 years ago
10

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

7 0
4 years ago
Determine the value of x
Artemon [7]

Answer:

21

Step-by-step explanation:

3 0
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:

23

Step-by-step explanation:

7 0
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
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