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Mathematics 15 Online
OpenStudy (emilyjones284):

pleaseee help for medal and fan (: posting below

OpenStudy (emilyjones284):

Write an equation of an ellipse in standard form with the center at the origin and a height of 4 units and width of 5 units.

OpenStudy (anonymous):

so the equation of elipse is x^2/a^2+y^2/b^2=1 where a is the a is the radius on y (height) and b is radius on x(width)

OpenStudy (emilyjones284):

wait no theres not an answer for that

OpenStudy (anonymous):

x^2/25+y^2/16=1 that should be the answer

OpenStudy (emilyjones284):

nope....theres only one with 4 and 5 or 6.25 and 4

OpenStudy (anonymous):

are the 4 and 5 in power of 2?

OpenStudy (emilyjones284):

nope

OpenStudy (anonymous):

http://www.mathopenref.com/coordgeneralellipse.html

OpenStudy (anonymous):

do you know the standard equation for an elipse?

OpenStudy (emilyjones284):

yes

OpenStudy (anonymous):

ok so you know that the equation would simply be x^2/a^2+y^2/b^2=1

OpenStudy (anonymous):

now because its asking for a height of 4 and a width of 5, we can assume the height can means the y axis and the width is the x axis

OpenStudy (anonymous):

now you plug in width as the variable under x, height as the variable under y and you get the answer

OpenStudy (emilyjones284):

these are the answer choices \[\frac{ x^2 }{ 4 }+ \frac{ y^2 }{ 5 }= 1 ,\frac{ x^2 }{ 6.25 }+\frac{ y^2 }{ 4 }=1\]

OpenStudy (anonymous):

no remember that the variables must be squared

OpenStudy (anonymous):

well both of these are wrong , should be x^2/25+y^2/16=1

OpenStudy (anonymous):

exactly

OpenStudy (anonymous):

so the final equation should be x^2/25+y^2/16=1

OpenStudy (emilyjones284):

or \[\frac{ x^2 }{ 5 }+ \frac{ y^2 }{ 4}= 1, or \frac{ x^2 }{ 4}+\frac{ y^2 }{ 6.25 }=1\]

OpenStudy (emilyjones284):

well you guys have to be wrong because theres not an answer for that

OpenStudy (anonymous):

well the correct answer is x^2/5^2+y^2/4^2=1, so im guessing the first one is closer, though still wrong

OpenStudy (emilyjones284):

do you know if thats right timo? haha

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