Question

What is the length of the major axis of the conic section shown below?

(x-3)^2/49+ (y+6)^2/100=1

A. 20
B. 14
C. 10
D. 7

Answer 1

you know what this looks like?

Answer 2

I do not. I don't really remember this section. Conic sections went by to fast.

Answer 3

yeah they always stick em at the end when there is not enough time

Answer 4

in any case you don't really need to know that much for this question
general form is
\[\frac{(x-h)^2}{a^2}+\frac{(y-k)^2}{b^2}=1\]
in your case \(a^2=49, a=7,b^2=100,b=10\)

Answer 5

since \(b=10\) is the bigger of the two the major axis has length \(20\) i.e. \(2\times 10\)

Answer 6

O.O is that the answer?

Answer 7

like that because the larger number is under the \(y\) term

Answer 8

yes

Answer 9

why would i lie?

Answer 10

xD Yhu don't really have a reason... I'm just wondering what the heck happened. ;o;

Answer 11

not sure what you mean
in your case \(b=10\) and the major axis has length double that

Answer 12

Ok... I'l start with... Where did yhu get the 49 and 100 from?
Nevermind... the denominators... why did yhu cut 'em in half? It said squared.

Answer 13

lets go slow

Answer 14

general form is \[\frac{(x-h)^2}{a^2}+\frac{(y-k)^2}{b^2}=1\] with center \((h,k)\)
you have
\[\frac{(x-3)^2}{49}+\frac{(y+6)^2}{100}=1\]

Answer 15

that makes the center \((3,-6)\) although you were not asked for the center

Answer 16

it also make \(a^2=49\) so you know \(a=7\) and similarly \(b^2=100\) making \(b=10\)

Answer 17

because the larger number is under the \(y\) term it looks like the one on the right, not the one on the left

Answer 18

you weren't asked that either, but no matter
you were asked for the length of the major axis
the fact that \(b=10\) tells you that the distance from the center to the vertices is 10 units, making the length of the axis 20

Answer 19

Oh my god. >.< I remember this now. Yhu helped me with the same thing a while ago... but I didn't have the graph so I got confused... Yhu like... A genius.
And I deem yhu my favorite mod. Thank yhu for the help. ^u^ Again.

Answer 20

your welcome
glad i am your fave mod