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Question 616012: What is the standard form of the ellipse with the equation 16x^2+25y^2=150y+175?
Answer by lwsshak3(11628)   (Show Source):
You can put this solution on YOUR website! What is the standard form of the ellipse with the equation
16x^2+25y^2=150y+175?
complete the square:
16x^2+25(y^2-6y+9)=175+225
16x^2+25(y-3)^2=400
x^2/25+(y-3)^2/16=1
This is an equation of an ellipse with horizontal major axis.
Its standard form: (x-h)^2/a^2+(y-k)^2/b^2=1, (h,k)=(x,y) coordinates of center
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