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NeTakaya
3 years ago
12

Find Horizontal and Vertical asymptotes for y=(x^2 -9)/(4x^2 +1)

Mathematics
1 answer:
Gnom [1K]3 years ago
8 0

Answer: Horizontal asymptote is \dfrac{1}{4} and vertical asymptotes are \pm \dfrac{1}{2i}

Step-by-step explanation:

Since we have given that

y=\dfrac{x^2-9}{4x^2+1}

We need to find the horizontal and vertical asymptotes.

Since vertical asymptotes will occur where the denominator becomes zero.

So, here denominator is 4x^2+1

Now,

4x^2+1=0\\\\4x^2=-1\\\\x^2=\dfrac{-1}{4}\\\\x=\pm \dfrac{1}{2i}

And the horizontal asympototes will occur when the coefficient of higher degree of numerator is divided by coefficient of higher degree of denominator.

y=\dfrac{1}{4}

Hence, horizontal asymptote is \dfrac{1}{4} and vertical asymptotes are \pm \dfrac{1}{2i}

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3 years ago
DONT ANSWER UNLESS I KNOW YOU!!!
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Since Area equals length times width

A=L x W


And its asking twice its width

The height is 15 so if you add it its 30


So to get the answer you multiply 30 times 15 and you will get 450


Hope this helped you :D


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