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Alekssandra [29.7K]
3 years ago
8

Determine the equations of the vertical and horizontal asymptotes, if any, for y=x^3/(x-2)^4

Mathematics
2 answers:
sleet_krkn [62]3 years ago
5 0

Answer:

x=2 is the vertical asymptote.

horizontal asymptote is y=0

Step-by-step explanation:

Find the vertical and horizontal asymptotes

y=\frac{x^3}{(x-2)^4}

To find out the vertical asymptote, we set the denominator =0 and solve for x

(x-2)^4=0

Take fourth root on both sides

x-2=0

Add 2 on both sides , so x=2 is the vertical asymptote.

To find horizontal asymptote , we look at the degree of both numerator and denominator

Degree of numerator is 3 and the degree of denominator is 4

When the degree of numerator is less than the degree of numerator then horizontal asymptote is y=0

Here, 3 so the horizontal asymptote is y=0

alexira [117]3 years ago
4 0
The answer is A. Just took the test and got it right. 
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WILL MARK BRAINLIEST
ValentinkaMS [17]

Answer:

The answer to your question is:

x = 13

x + 10 = 23

5x - 42 = 23

Step-by-step explanation:

Data

angle 1 = x + 10

angle 2 = 5x - 42

They are vertical angles so, they measure the same.

                     x + 10 = 5x -42

                    x - 5x = -42 - 10

                       - 4x = -52

                           x = -52/-4

                           x = 13

angle 1 = x + 10 = 13 + 10 = 23

angle 2 = 5x - 42 = 5(13) -42 =  65 -42 = 23

8 0
3 years ago
4x+7=64 i need the answer
irina [24]

Answer:

jniancun

Step-by-step explanation:

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7 0
2 years ago
Read 2 more answers
A farmer has a rectangular garden plot surrounded by 200 ft of fence. find the length and width of the garden if its area is 127
Sergio [31]
I was stuck on the same thing in my class test. I ended up failing but if I get the answers to it I’ll totally send them to you
5 0
3 years ago
Your gas tank has approximately 78.1% of fuel left. If the tank can old 30 gallons, how much is left?
andrey2020 [161]

Answer:

23.43 gallons.

Step-by-step explanation:

30*0.781 which is 23.43 gallons.

Hope this helps!

Merry Christmas!

4 0
3 years ago
Help! This is due today and I'm stuck on this problem.
Varvara68 [4.7K]

Answer:

280.6 m^2

Step-by-step explanation:

<u>find the length of each side:</u>

you're only given h = 9 m

the formula for h is  h=\frac{\sqrt{3} }{2} *a, where a is a side length of the hexagon

plug h in:

9=\frac{\sqrt{3}}{2}*a\\\\a=9*\frac{2}{\sqrt{3}}\\\\

a ≈ 10.392 m

<u>now find the area of a triangle:</u>

1/2 (10.392)(9) = 46.764 m^2

multiply that by 6 and you get 280.584 ≈ 280.6 m^2

you can also use the regular hexagon area formula instead of finding the individual area and multiplying by 6: \frac{3\sqrt{3} }{2} *a^2

7 0
3 years ago
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