A restaurant manager states the number of customers that enter the restaurant is equal to 3 times the number of people that buy
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Answer:
Step-by-step explanation:
The standard equation of the ellipse is
where, is the center and a,b are semi axes of the ellipse along x-axis and y-axis respectively.
Given that, and major axis,
.
So, semi major axis, .
Now, focus of the ellipse is (-7,3).
Let be the eccentricity of the ellipse,
So,
where is the distance between the center and focus of the ellipse.
By using the distance formula,
Again, the relationship among and
is
[from equation (ii)]
[squaring on both the sides]
So, the value of square of semi-minir axis, .
Hence, from equation (i), the equation of required ellipse is standard form is