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MakcuM [25]
3 years ago
8

Which is an asymptote of the graph of the function y = cot ( x - 2pi / 3 )

Mathematics
2 answers:
Stolb23 [73]3 years ago
7 0

Answer:

B. x = -pi/3

Step-by-step explanation:

this is the correct answer on ed-genuity, hope this helps you! :)

vesna_86 [32]3 years ago
3 0
\bf y=cot\left(x-\frac{2\pi }{3}  \right)\implies y=\cfrac{cos\left(x-\frac{2\pi }{3}  \right)}{sin\left(x-\frac{2\pi }{3}  \right)}

now, if the denominator turns to 0, the fraction becomes undefined, and you get a "vertical asymptote" when that happens, so let's check when is that

\bf sin\left(x-\frac{2\pi }{3}  \right)=0\implies sin^{-1}\left[ sin\left(x-\frac{2\pi }{3}  \right) \right]=sin^{-1}(0)
\\\\\\
x-\frac{2\pi }{3}=
\begin{cases}
0\\
\pi 
\end{cases}\implies \measuredangle x=
\begin{cases}
\frac{2\pi }{3}\\
\frac{5\pi }{3}
\end{cases}

now, at those angles, the function is asymptotic, check the picture below

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Step-by-step explanation:

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Juli2301 [7.4K]
X-y=50 and 2x=3y 
x=y+50 so 2(y+50) = 3y 

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x-100=50
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150-100=50 and 150 is 3*50 and 100 is 2*50 so fits all requirements!

hope this helps you! thank you!
6 0
3 years ago
What is the solution of the linear-quadratic system of equations?<br><br> {y=x^2+5x−3<br> {y-x=2
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Answer: the above stated equation is a quadratic equation

Step-by-step explanation:

Given the following equations

y = x^2 + 5x - 3....equation 1

y-x = 2

y = x + 2........equation 2

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x^2 + 5x -3 = x + 2

Bringing the equation to one side and equating to zero

X^2 +5x - 3 -x -2 = 0

X2 + 5x -x -3 -2 = 0

X^2 + 4x -5

Solving the aquatic equation

(x + 5)(x -1) = 0

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3 0
3 years ago
Can someone help me out ​
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g - 16 is the answer

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−2 (3g−8g+8) − 9g

Distribute:

= (−2) (3g) + (−2) (−8g) + (−2) (8) + −9g

= −6g + 16g + −16 + − 9g

Combine Like Terms:

=−6g + 16g+ −16+ −9g

= (−6g+16g+−9g) + (−16)

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Answer:

=g−16

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