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algol [13]
3 years ago
7

What is the quotient and remainder, written as partial fractions, of StartFraction 4 x cubed + 11 x squared minus 9 Over x squar

ed + 3 x + 2 EndFraction?

Mathematics
2 answers:
kaheart [24]3 years ago
4 0

Answer:

D

Step-by-step explanation:

trust

Snowcat [4.5K]3 years ago
4 0

Answer:

D

Step-by-step explanation:

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What is the center of the ellipse x2+5y2–45=0?
jeka94

Answer:

Center is at (0,0)

Step-by-step explanation:

An equation of ellipse in standard form is:

\displaystyle{\dfrac{(x-h)^2}{a^2}+\dfrac{(y-k)^2}{b^2} = 1

Where center is at point (h,k)

From the equation of \displaystyle{x^2+5y^2-45=0}. First, we add 45 both sides:

\displaystyle{x^2+5y^2-45+45=0+45}\\\\\displaystyle{x^2+5y^2=45}

Convert into the standard form with RHS (Right-Hand Side) equal to 1 by dividing both sides by 45:

\displaystyle{\dfrac{x^2}{45}+\dfrac{5y^2}{45}=\dfrac{45}{45}}\\\\\displaystyle{\dfrac{x^2}{45}+\dfrac{y^2}{9}=1}

Therefore, the center of ellipse is at (0,0) since there are no values of h and k.

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Seven increased by the product of two numbers
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