(x-6)^2/25 + (y-2)^2/100 = 1

Find the center, vertices, co-vertices, foci, major axis, and minor axis.

Question

(x-6)^2/25 + (y-2)^2/100 = 1

Find the center, vertices, co-vertices, foci, major axis, and minor axis.

anonymous · Answer

i know the center is (6,2) LOL

amistre64 · Answer

yes it is

amistre64 · Answer

sqrt the bottom numbers to get the lengths of your verts; and the larger number is under the major axis for ellipses

amistre64 · Answer

since y is bigger; we go (x,+- 10)

amistre64 · Answer

and (+-5,y) for the coverts

amistre64 · Answer

verts: (6,12) (6,-8)
co verts: (11,2)(1,2)

amistre64 · Answer

the foci are along the y as well; and they are the sqrt(100-25), sqrt(75)

amistre64 · Answer

foci: (6,2+sqrt(75))(6,2-sqrt(75))

amistre64 · Answer

75 = 25.3 so that can be simplified to:

5sqrt(3)

anonymous · Answer

ok and major and minor axis?

amistre64 · Answer

major is the y=2 axis and the minor is the x=6 axis

anonymous · Answer

THANKS SO MUCH FOR ALL YOUR HELP!!!!

amistre64 · Answer

i might got thos backwards; its paralell to the y so thats the x=6 axis

amistre64 · Answer

and minor os // to the x so thats the y=2; dbl check that tho ;)