Question

Find the following values to the equation of the ellipse (x+5)^2/25 +(y-7)^2/144 = 1.
a. Center
b. Vertices
c. Length of minor axis
d. Length of the major axis
e. Foci

Answer 1

here is all you need to answer this question:
\[\large \frac {(x-h)^2}{a^2}+\frac{(y-k)^2}{b^2}=1 \]
where (h,k) is the center
vertices for this ellipse: (h,k\(\pm \)b)
length of the minor axis: 2a
length of major axis: 2b
foci: (h,k\(\pm \)c

where \(\large c^2 =b^2-a^2\)

Answer 2

let's find (h,k) first...
h=
k=

??

Answer 3

look at your equation and match it up with the one i wrote... what matches with h and k?

Answer 4

please hurry i have to have this done in 5 minutes or i fail1!

Answer 5

and thank you! :D

Answer 6

idk what?

Answer 7

\(\large \frac {(x-h)^2}{a^2}+\frac{(y-k)^2}{b^2}=1\)
\(\large \frac {(x+5)^2}{5^2}+\frac{(y-7)^2}{12^2}=1\)

Answer 8

oh ok

Answer 9

so what are the lengths without vvariables? o.O

Answer 10

for the minor axis, its 2a
for the major axis, its 2b

you need to tell me what a and b are....

Answer 11

3 minutes!!!!!

Answer 12

but what about the ellipse that is nothing but variables?

Answer 13

a is 5
b is 12

Answer 14

and am i allowed to have variable in the legths?

Answer 15

the equation tells you everything you need to know..... you can identify all these quantities i'm asking for just by looking at your equation...

Answer 16

i already gave you a and b...

Answer 17

so 2a is 10?

Answer 18

yes.

Answer 19

and 2b is 24?>

Answer 20

yes

Answer 21

and the foci and eellipse?

Answer 22

what is c?

Answer 23

use the relation i showed u.... in the first post...

Answer 24

you already know what a and b are.. you can find c...

Answer 25

hmmm i really do not know this plus i am slightly brain dead btw r u a guy or girl

Answer 26

dont i just have get the square roote of c^2 and since c^2=119 than the answer would be 10.9? right?

Answer 27

cookies....why does it matter?

Answer 28

just wanna know

Answer 29

why?

Answer 30

dpanlc?

Answer 31

u there?

Answer 32

idk so i dnt get it wrong

Answer 33

reaally/?

Answer 34

well i'm a girl....soooooooo

Answer 35

yess i dnt wanna be rude
kewl glad to have a gal pal