SOLUTION: How would I go about solving 49x^2 + y^2 = 49 finding the center, vertices, co- vertices and foci?

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Question 932086: How would I go about solving 49x^2 + y^2 = 49 finding the center, vertices, co- vertices and foci?
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
49x%5E2+%2B+y%5E2+=+49........both sides divide by 49

49x%5E2%2F49+%2B+y%5E2%2F49+=+49%2F49
x%5E2%2F1+%2B+y%5E2%2F49+=+1 => you have an ellipse; compare it to the standard form equation of an ellipse which is %28x-h%29%5E2%2Fa%5E2+%2B+%28y-k%29%5E2%2Fb%5E2+=+1 (your example is an ellipse with Vertical Major Axis,because b%3Ea) where (h,k) is the center, a is semiminor axis length, b is semimajor axis length
Ellipses are actually very special cases of circles.
REMEMBER:
The right side of the equation must be 1 in order to be in standard form.
The point (h,k) is most commonly referred to as the CENTER.
In order to graph an ellipse, you need 4 points:
Right point (h%2Ba,k)
Left point (h-a,k)
Top point (h,k%2Bb)
Bottom point (h,k-b).

in your case:
center at (0,0)
foci | ((0,+-4sqrt%283%29) | (0, 4sqrt%283%29))approx.((0, -6.9) | (0,+6.9))
vertices | (0,+-7) | (0%7D%7D%5D%2C+%7B%7B%7B7)
semimajor axis length | 7
semiminor axis length |+1
eccentricity | (4sqrt%283%29%29%2F7) approx.0.989743