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caromaybelline71
24.08.2021 •
Mathematics
Please help me with this problem
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Ответ:
Ответ:
It is choice A.
Step-by-step explanation:
The general form is (x - h)^2 / a^2 + (x - k)^2/b^2 = 1 where (h, k) is the center, 2a = major axis and 2b = minor axis.
The ellipse in the question has a^2 > b^2 so the major axis is parallel to the x axis.
The minor axis which is parallel to the y-axis is of length 10 so b^2 = (1/2 * 10)^2
= 25 so we can eliminate C.
The center of the ellipse = the midpoint of a line joining the focii so it is:
( 3+ 7)/2, 6)
= (5,6).
As (h, k) is the center we have h = 5 and k = 6.
So it is choice A.