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Sloan [31]
3 years ago
10

Which of the following are vertical asymptotes of the function y = 2cot(3x) + 4? Check all that apply. A.x = pi/3 B.x = +/- pi/2

C.x = 2pi D.x = 0
Mathematics
2 answers:
Kisachek [45]3 years ago
6 0
Vertical asymptotes occur when the denominator of a rational is 0, whilst not zeroing out the numerator, making the rational, undefined, in this case

\bf y=2cot(3x)+4\implies y=2\cdot \cfrac{cos(3x)}{sin(3x)}+4\impliedby \textit{if \underline{sin(3x)} turns to 0}\\\\
-------------------------------\\\\
\textit{let's check}
\\\\\\
A)\qquad \cfrac{cos(3x)}{sin\left( 3\frac{\pi }{3} \right)}\implies \cfrac{cos(3x)}{sin\left( \pi \right)}\implies \cfrac{cos(3x)}{0}\impliedby unde f ined

\bf B)\qquad \cfrac{cos(3x)}{sin\left( 3\frac{\pm\pi }{2} \right)}\implies\cfrac{cos(3x)}{sin\left( \frac{\pm3\pi }{2} \right)}\implies \cfrac{cos(3x)}{\pm 1}\implies \pm cos(3x)
\\\\\\
C)\qquad \cfrac{cos(3x)}{sin\left( 3(2\pi )\right)}\implies \cfrac{cos(3x)}{sin(6\pi )}\implies \cfrac{cos(3x)}{0}\impliedby unde f ined
\\\\\\
D)\qquad \cfrac{cos(3x)}{sin(3(0))}\implies \cfrac{cos(3x)}{sin(0)}\implies \cfrac{cos(3x)}{0}\impliedby unde f ined
jenyasd209 [6]3 years ago
3 0
Yeah it’s A C D for apex
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27

Step-by-step explanation:

If a= -3 what is 3a^2 = 27

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The top of a ladder is leaning on a building at a point 12 feet above the ground.The bottom of the ladder is 5 feet from the bas
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Answer:

13

Step-by-step explanation:

using c^2 = a^2 + b^2

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2 years ago
at a country concert,the ratio of number of the Boys to the number of girls is 2:7 if there are 250 more girls than boys how man
sergey [27]

Answer:

100

Step-by-step explanation:

Ratio is a fraction, so ratio of boys to girls would be written as [let boys be "b" and girls be "g"]:

\frac{b}{g}=\frac{2}{7}

Also, there are 250 more girls than boys, so we can write:

g = 250 + b

Lets substitute this into "g" of the ratio we wrote and cross mulitply and solve for b:

\frac{b}{g}=\frac{2}{7}\\\frac{b}{250+b}=\frac{2}{7}\\7b=2(250+b)\\7b=500+2b\\5b=500\\b=\frac{500}{5}=100

The number of boys = 100

3 0
3 years ago
Can anybody help me with this question?
Bogdan [553]
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308/14 = x/1

Cross multiply

14x = 308
x = 308/14
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22/1

For number 17, since the car was driven at 48 mph, we just have to divide distance driven by speed to get how long it took...

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6 0
3 years ago
4(4t=(4x4) blank/ answer blank t answer
larisa [96]

Answer:

the answer is 20

Step-by-step explanation:

The answer is 20. The rule of math, for this math problem, is that you do the multiplication first and then solve. Order of operations is "PEMDAS," which explained is by following these rules: Parentheses First.

8 0
2 years ago
Read 2 more answers
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