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dem82 [27]
3 years ago
6

Really need help please

Mathematics
1 answer:
myrzilka [38]3 years ago
8 0

Answer:

a=8,4

B=16,12

C=8,16

Step-by-step explanation:

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I need to solve the equation please help me
lesantik [10]

Answer:

\displaystyle x=\Big\{\frac{7\pi}{6}+2n\pi, \frac{3\pi}{2}+2n\pi, \frac{11\pi}{6}+2n\pi}\Big\}, n\in\mathbb{Z}

Step-by-step explanation:

We are given the equation:

4\sin^2(x)+6\sin(x)+2=0

First, we can divide everything by 2:

2\sin^2(x)+3\sin(x)+1=0

Notice that we have an equation in quadratic form. Namely, if we make a substitution where u = sin(x), we acquire:

2u^2+3u+1=0

Solve for u. Factor:

(2u+1)(u+1)=0

Zero Product Property:

2u+1=0\text{ or } u+1=0

Solving for both cases:

\displaystyle u=-\frac{1}{2}\text{ or } u=-1

And by substitution:

\displaystyle \sin(x)=-\frac{1}{2}\text{ or } \sin(x)=-1

For the first case, recall that sin(x) is -1/2 for every 7π/6 and every 11π/6. Hence, for the first case, our solutions are:

\displaystyle x=\frac{7\pi}{6}+2n\pi \text{ and } x=\frac{11\pi}{6}+2n\pi, n\in\mathbb{Z}

Where n is an integer.

For the second case, sin(x) is -1 for every 3π/2. Thus:

\displaystyle x=\frac{3\pi}{2}+2n\pi

All together, our solutions are:

\displaystyle x=\Big\{\frac{7\pi}{6}+2n\pi, \frac{3\pi}{2}+2n\pi, \frac{11\pi}{6}+2n\pi}\Big\}, n\in\mathbb{Z}

4 0
3 years ago
Functions f(x) and g(x) are defined below.
Lemur [1.5K]
I'll send u a pic of my answer (I solved it on my cookbook) if u make this brainliest (u get 3 points for free if u do
8 0
2 years ago
A+B=3<br> A•C+B=18<br> B•C+A=6<br> A=<br> B=<br> C=
Gnoma [55]

Answer:

A+B=3

BC+B=18

BC+A=6 ;;

Step-by-step explanation:

sorrry i dont know that im sorry

8 0
3 years ago
What is 1.21 repeating as a fraction?
DochEvi [55]
x=1.\overline{21}\\&#10;100x=121.\overline{21}\\&#10;100x-x=121.\overline{21}-1.\overline{21}\\&#10;99x=120\\&#10;x=\dfrac{120}{99}=\dfrac{40}{33}
6 0
3 years ago
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The weight of a stack of standard 8.5x11 copier paper vs number of sheets of paper. Explain wether you think the relationship is
katrin [286]

I think the relationship between the weight of a stack of standard 8.5x11 copier paper vs number of sheets of paper is proportional because :

Let us assume here, in this situation that each page has the same weight so if i want to find the weight of the complete stack, i will multiply the number of sheets of paper by the weight of a single sheet of paper.

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