Question

classify the graph of the equation as a circle, a parabola, an ellipse, or a hyperbola. Rewrite each equation in standard form. please help!

Answer 1

10x^2 +3y^2 + 9x + 10y -10 =0

Answer 2

Do you still need help?

Answer 3

yeah

Answer 4

Well anyways, here are the rules for identifying between all of those. A circle will have the SAME coefficient in front of the x^2 and the y^2, and they will also have a + between them. A parabola will only have one of the terms (either the x or y) squared. An ellipse will have an x^2 and y^2 but different coefficients, and they will have a plus sign in between them. And a hyperbola will be the same as an ellipse except with a minus sign.

This should be helpful: http://www.dummies.com/how-to/content/how-to-identify-the-four-conic-sections-in-equatio.html

Answer 5

i need help writing it in standard form @Thatonegirl_

Answer 6

Oh ok. Circle is (x – h)^2 + (y – k)^2 = r^2

Answer 7

An ellipse is:
\[\frac{ (x-h)^2 }{ a^2 }+\frac{ (y-k)^2 }{ b^2}=1\]

Answer 8

and the a and b can flip

Answer 9

i am talking about getting the equation to standard form

Answer 10

do u have an equation ?

Answer 11

not the standard form for each conic shape

Answer 12

yeah its under my question

Answer 13

second line

Answer 14

okay move all the x's together and the y's and add the -10 to the other side.

Answer 15

After u do that, complete the square for the x's and y's

Answer 16

alrigth

Answer 17

Factor each and then divide by the 10 you added to the other side.

Answer 18

i get 10x^2 + 9x + 81/4 +3y^2 +10y +25 = 221/4

Answer 19

is it right

Answer 20

Oh sorry you are supposed to factor the 10 and the 3 from each before you complete the square

Answer 21

I'll go through it, stop me if you have a question.

Answer 22

\[10x^2 +3y^2 + 9x + 10y -10 =0\]

Answer 23

okay

Answer 24

\[10x^2+9x^2+3y^2+10y=10\]

Answer 25

\[10(x^2+\frac{ 9 }{ 10 }+ )+3(y^2+\frac{ 10 }{ 3 })=10\]

Answer 26

\[10(x^2+\frac{ 9 }{ 10 }+\frac{ 81 }{ 400 })+3(y^2+\frac{ 10 }{ 3 }+\frac{ 25 }{ 9 })=10+\frac{ 25 }{ 3 }+\frac{ 81 }{ 40}\]

Answer 27

do you have time to help me with one more?

Answer 28

Get all that?

Answer 29

yeah i see how you did it now

Answer 30

this other is different though it doesnt have a y^2 just an x^2

Answer 31

What?

Answer 32

x^2+4y+7x-10 =0

Answer 33

Are we doing the equation you posted?

Answer 34

Oh so that's going to be a parabola, correct?

Answer 35

hold on

Answer 36

like this is what i have so far x^2+7x+49/4 = -4y + 89/4

Answer 37

this is for the second problem

Answer 38

Well what I do is move everything except the x^2 and x to the other side. Then factor out the coefficient.

Answer 39

do i factor out the x ------->x (x+7) = -2(2y-5)? @thatonegirl_