## anonymous one year ago Can someone explain to me how to turn these numbers into a horizontal ellipse and a horizontal hyperbola equation? I'm trying to create their location on the y-axis.

1. anonymous

The problem is phsycially this There are two fruit trees located at (3,0) and (–3, 0) in the backyard plan. Maurice wants to use these two fruit trees as the focal points for an elliptical flowerbed. Johanna wants to use these two fruit trees as the focal points for some hyperbolic flowerbeds. Create the location of two vertices on the y-axis. Show your work creating the equations for both the horizontal ellipse and the horizontal hyperbola. Include the graph of both equations and the focal points on the same coordinate plane.

2. anonymous

The numbers are the focuses, (3, 0) and (-3, 0) The minors or others are (0, 2.5) and (0, -2.5)

3. amoodarya

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4. amoodarya

$b^2+c^2=a^2\\2.5^2+3^2=a^2\\\frac{(x-0)^2}{a^2}+\frac{(y-0)^2}{b^2}=1\\\frac{(x-0)^2}{2.5^2+3^2}+\frac{(y-0)^2}{2.5^2}=1$

5. anonymous

@amoodarya how would you translate that into text and not that fancy stuff? I need to submit it in a format like 2 + 2 /(divide)/ 2, if that makes sense

6. amoodarya

you can translate it by yourself ,can't you ?

7. anonymous

one second,

8. anonymous

b^2 + c^2 = a^2 2.5^2 + 3^2 = a^2 (x - 0)^2/a^2 + (y - 0)^2/b^2 = 1 (x - 0^2)^2/2.5^2 + 3^2 (y - 0)^2/2.5^2 = 1 is this how to do that?

9. amoodarya

yes

10. anonymous

ok thank you.

11. anonymous

sent it for a submission and i got this @amoodarya "Yep, your work has to be right though and your equation as written is not. A and b are not going to be the same and that's what you have. please show the work and include the hyperbola stuff too as it is all part of the same question." I don't really get the whole problem tho, can you help?

12. anonymous

would you get rid of the 2.5^2 + 3^2 and make it just 3^2?

13. anonymous

"I need to see ALL of your work to find a^2 and your final equation."

14. anonymous

is (x^2 - y^2) / 21.5 correct?

15. anonymous

@campbell_st