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maxonik [38]
3 years ago
7

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

Mathematics
1 answer:
Shalnov [3]3 years ago
5 0

Hello.


C) x=4π/3


The variable x in the cotangent argument has a unit coefficient, so the period is π, just as it is in the parent function cot(x).


Can you graph y = cot(x)? By subtracting the constant π/6 from the argument, that graph is translated to the right by π/6. Just as with cot(x), it is decreasing everywhere.


Have a nice day



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solmaris [256]

Answer:

1.

8x + 6y = 28

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Set to equal y.

8x + 6y = 28

6y = -8x + 28

y = -8/6x + 28/6

y = -4/3x + 14/3

9x + 3y = 39

3y = -9x + 39

y = -9/3x + 39/3

y = -3x + 13

Set equal to each other.

-4/3x + 14/3 = -3x + 13

Combine like terms.

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Plug x in.

y = -3(5) + 13

y = -15 + 13

y = -2

(5, -2)

2.

-2x - 9y = -3

-7x - 9y= -33

Set equal to y.

-2x - 9y = -3

-9y = 2x - 3

y = -2/9x + 3/9

y = -2/9x + 1/3

-7x - 9y= -33

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Set equal to each other

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0 = 0

infinitely many solutions

8 0
2 years ago
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