SOLUTION: identify the type of conic sections that has the equation 4x^2+25y^2=100 And identfy its domain and range

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Question 848176: identify the type of conic sections that has the equation
4x^2+25y^2=100
And identfy its domain and range
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
identify the type of conic sections that has the equation
4x^2+25y^2=100
And identify its domain and range
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4x^2+25y^2=100
divide both sides by 100
x^2/25+y^2/4=1
This is an equation of an ellipse with horizontal major axis and center at the origin (0,0)
Domain: (-5,5)
Range: (-2,2)
see graph below:
y=((100-4x^2)/25)^.5