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16(x-1)^2 + 4(y-2)^2 =16

center?
Vertices?
Foci?
Vertical or Hortizontal?
Length of Major axis?
length of Minor axis?
Minor axis intercepts?

2006-12-14 07:26:03 · 3 answers · asked by Anonymous in Science & Mathematics Mathematics

3 answers

16(x - 1)² + 4(y - 2)² = 16

ie (x - 1)² + (y - 2)²/4 = 1

ie (x - 1)²/1² + (y - 2)²/2² = 1

Do you now recognise this as the canononical form of an ellipse?

Centre ≡ (1, 2)

Semi-major axis length = 2 (in vertical direction)

Semi-minor axis length = 1 (in horizontal direction)

I'll leave the rest to you now :-)

2006-12-14 07:41:14 · answer #1 · answered by Wal C 6 · 0 0

write it in the form
(x-1)^2 +1/4* (y-2)^2 =1

center(1,2)
a=1
b=2
find the others by yourself

2006-12-14 15:36:07 · answer #2 · answered by iyiogrenci 6 · 0 0

your center should be 1,2. all you do is set the equation = 0 and solve for x and y.

everything else, is in your BOOK.

2006-12-14 15:29:43 · answer #3 · answered by Jonathan L 2 · 0 0

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