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Vsevolod [243]
3 years ago
15

Which is the equation of an ellipse centered at the origin with foci on x-axis, x-intercepts +7, -7 and y-intercepts +2,

Mathematics
1 answer:
Aleks04 [339]3 years ago
7 0
We know that
<span>foci on x-axis-------> is a ellipse with horizontal major axis

the equation is
(x</span>²/a²)+(y²/b²)=1

major axis is th<span>e </span>x<span>-axis with length </span><span>2<span>a
2a=14--------> a=7

</span></span>minor axis is the y<span>-axis with length </span><span>2<span>b
2b=4-----> b=2

the equation is
</span></span>(x²/a²)+(y²/b²)=1------> (x²/7²)+(y²/2²)=1-----> (x²/49)+(y²/4)=1

the answer is
(x²/49)+(y²/4)=1

see the attached figure

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