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lisov135 [29]
3 years ago
13

1) Which of the following equations has a solution of -4? Choose all that apply.

Mathematics
1 answer:
tatiyna3 years ago
4 0
A. It’s the only one I could think of the other one didn’t work
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Solve sin x - (3sin x-1) = 0
soldi70 [24.7K]

Answer:

\large\boxed{x=\dfrac{\pi}{6}+2k\pi\ \vee\ x=\dfrac{5\pi}{6}+2k\pi,\ k\in\mathbb{Z}}

Step-by-step explanation:

\sin x-(3\sin x-1)=0\\\\\sin x-3\sin x+1=0\qquad\text{subtract 1 from both sides}\\\\-2\sin x=-1\qquad\text{divide both sides by 2}\\\\\sin x=\dfrac{1}{2}\Rightarrow x=\dfrac{\pi}{6}+2k\pi\ \vee\ x=\dfrac{5\pi}{6}+2k\pi,\ k\in\mathbb{Z}

\text{Equation:}\\\\\sin x=a\\\\\text{has solutions}\\\\x=\theta+2k\pi\ \vee\ x=(\pi-\theta)+2k\pi\\\\\text{Why}\ 2k\pi?\\\text{Because the sine function has a period of}\ 2\pi.

\text{look at the table}\\\\\sin x=\dfrac{1}{2}\to x=\dfrac{\pi}{6}\ \vee\ x=\pi-\dfrac{\pi}{6}=\dfrac{5\pi}{6}

\text{Other solution:}\\\\\sin x=\dfrac{1}{2}\Rightarrow x=\sin^{-1}\dfrac{1}{2}\\\\x=\dfrac{\pi}{6}+2k\pi\ \vee\ x=\dfrac{5\pi}{6}+2k\pi

3 0
3 years ago
Need help with this question ​
Sedbober [7]

Answer:

B

Step-by-step explanation:

6 0
3 years ago
Which equation is true for x = 4? A) 2x + 5 = 25 B) 3x + 5 = 17 C) 5x − 18 = 7 D) 6x − 10 = 26
soldier1979 [14.2K]

Answer:

The answer would be B because 3 times 4 equals 12 and 12+5 =17.

Step-by-step explanation:

1.) 3(4)+5=17

2.)12+5=17

3.)17=17

4 0
3 years ago
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Answer:13

Step-by-step explanation:

3+9+1=13

5 0
2 years ago
Which is the graph of the equation 49x^2 - 16y^2 = 784
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Could you show a picture possibly
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