SOLUTION: Classify the conic section
5x^2 + 9y^2 = 45
A line
B point
C circle
D parabola
E ellipse
F hyperbola
I believe the answer is E. But I am not 100% sure, and Id love
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Question 161956: Classify the conic section
5x^2 + 9y^2 = 45
A line
B point
C circle
D parabola
E ellipse
F hyperbola
I believe the answer is E. But I am not 100% sure, and Id love to know if that is correct, and if not, what is? Thank you so much for your time.
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the given equation
Replace "x" with "x-0" and replace "y" with "y-0". This is valid since adding/subtracting zero doesn't change the equation.
Divide EVERY term by 45 to make the right side equal to 1.
Reduce
Take note that and
Replace "9" with . Replace "5" with
Remember, the equation of any ellipse is .
Since the equation fits this format where , , , and , this shows us that the equation is an ellipse.
So you are correct. Once again you can use a graph to verify your answer.
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