anonymous
  • anonymous
(x-6)^2/25 + (y-2)^2/100 = 1 Find the center, vertices, co-vertices, foci, major axis, and minor axis.
Mathematics
chestercat
  • chestercat
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anonymous
  • anonymous
i know the center is (6,2) LOL
amistre64
  • amistre64
yes it is
amistre64
  • amistre64
sqrt the bottom numbers to get the lengths of your verts; and the larger number is under the major axis for ellipses

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amistre64
  • amistre64
since y is bigger; we go (x,+- 10)
amistre64
  • amistre64
and (+-5,y) for the coverts
amistre64
  • amistre64
verts: (6,12) (6,-8) co verts: (11,2)(1,2)
amistre64
  • amistre64
the foci are along the y as well; and they are the sqrt(100-25), sqrt(75)
amistre64
  • amistre64
foci: (6,2+sqrt(75))(6,2-sqrt(75))
amistre64
  • amistre64
75 = 25.3 so that can be simplified to: 5sqrt(3)
anonymous
  • anonymous
ok and major and minor axis?
amistre64
  • amistre64
major is the y=2 axis and the minor is the x=6 axis
anonymous
  • anonymous
THANKS SO MUCH FOR ALL YOUR HELP!!!!
amistre64
  • amistre64
i might got thos backwards; its paralell to the y so thats the x=6 axis
amistre64
  • amistre64
and minor os // to the x so thats the y=2; dbl check that tho ;)

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