Question

Help Please! Will fan & medal!!

Answer 1

Write the general form for the equation of the following hyperbola: (x-1)^2/9 - (y-3)^2/4 = 1

Answer 2

x^2 - y^2 - 32x - 96y - 113 = 0
4x^2 - 9y^2 -4x + 108y - 55 = 0
4x^2 - 9y^2 -8x + 54y - 113 = 0
x^2 - y^2 - 8x + 54y - 113 = 0

Answer 3

Those are answers !

Answer 4

First step, multiply both sides by 9 and 4, and simplify it a bit.

Answer 5

After that, expand the squares.

Then distribute the 4 and 9 through their groups.

At this point, you'll be able to look at the x^2 term and the x term to get your answer. Only one choice has the same number in front of those two (the coefficient).

Answer 6

However, to do it completely, you'd just simplify, and then subtract 36 from both sides.

Answer 7

Can you show me please

Answer 8

Any particular part?

Answer 9

9 *(x-1)^2/9 * - (y-3)^2/4 = 9

Answer 10

(x-1)^2 * - (y-3)^2/4 = 9

Answer 11

(x-1)^2 * - 4(y-3)^2/4 = 9* 4
(x-1)^2 * - (y-3)^2 = 36
(x-1)^2 * - (y-3)^2 -36 = 1

Answer 12

like that^?

Answer 13

Close, very close! When you multiply by 9, the y term is also multiplied by 9.

\[(x-1)^2 - 9*\frac{(y-3)^2}{4} = 9\]

Answer 14

Apply the same principle when you multiply by 4.

Answer 15

okay thats what i thought but it doesnt divide

Answer 16

That's ok. It'll work out well in just another step or so.

Answer 17

hmm
so
4(x-1)^2 * - 36(y-3)^2 =36 ?

Answer 18

What happened to the 4 underneath the y?

Answer 19

4(x-1)^2 * - 9(y-3)^2 =36

Answer 20

canceled out ?

Answer 21

There you go :)

Answer 22

Now, expand the (x-1)^2 and the (y-3)^2

Answer 23

4(x-2x+1) * - 9(y-3y+ =36

Answer 24

idk how to complete the square for that second part

Answer 25

Very close!

\[(x-1)^2 = (x-1)(x-1) = x^2 - 2x + 1\]
\[(y-3)^2 = (y-3)(y-3) = y^2 - 6y + 9\]

If I may ask, why were you completing the square?

Answer 26

Oops ugh its cuz im not use to solving these ones im use to solving something in general form to standard form haha

Answer 27

Now, distribute the 9 and 4 to their groups. Then you'll be able to see the answer :)

Answer 28

But okay so
4(x-2x+1) * - 9(y-6y+9) = 36
4x-8x2 - 9y+54y+81= 36
4x^2 - 9y^2 -8x + 54y - 113 = 0

Answer 29

??

Answer 30

yep! Good job!

Answer 31

Thanks!! :)) Hey i have another question do you mind me opening a new page and tagging you in it to help me or are you busy?

Answer 32

Small note, you messed up the sign on the 81 in the middle step, but it may have just been a typo.

I can help with another question, sure.

Answer 33

yeah nice catch
and okay! :)