pleaseee help for medal and fan (: posting below
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.
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)
wait no theres not an answer for that
x^2/25+y^2/16=1 that should be the answer
nope....theres only one with 4 and 5 or 6.25 and 4
are the 4 and 5 in power of 2?
nope
do you know the standard equation for an elipse?
yes
ok so you know that the equation would simply be x^2/a^2+y^2/b^2=1
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
now you plug in width as the variable under x, height as the variable under y and you get the answer
these are the answer choices \[\frac{ x^2 }{ 4 }+ \frac{ y^2 }{ 5 }= 1 ,\frac{ x^2 }{ 6.25 }+\frac{ y^2 }{ 4 }=1\]
no remember that the variables must be squared
well both of these are wrong , should be x^2/25+y^2/16=1
exactly
so the final equation should be x^2/25+y^2/16=1
or \[\frac{ x^2 }{ 5 }+ \frac{ y^2 }{ 4}= 1, or \frac{ x^2 }{ 4}+\frac{ y^2 }{ 6.25 }=1\]
well you guys have to be wrong because theres not an answer for that
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
do you know if thats right timo? haha
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