yeval76
  • yeval76
Fan and Medal!! 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.
Mathematics
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SOLVED
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
jamiebookeater
  • jamiebookeater
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yeval76
  • yeval76
@Leong
yeval76
  • yeval76
@_greatmath7
anonymous
  • anonymous
for this you want x2a2+y2b2=1 and you want a2−b2=32 the easiest way to do that is to use the famous 3−4−5 right triangle and make a=5,b=4 so c=3 and use x252+y242=1 that will make your foci (−3,0) and (3,0)

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anonymous
  • anonymous
check the nice picture here to see that it works http://www.wolframalpha.com/input/?i=ellipse+x^2%2F25%2By^2%2F16%3D1
anonymous
  • anonymous
for the hyperbola it will look like x2a2−y2b2=1 and you want a2+b2=33 simplest way i can think to do it is to make a2=8,b2=1 and use x28−y2=1 but you have other choices
anonymous
  • anonymous
here is a nice graph with both together if you need one http://www.wolframalpha.com/input/?i=+x^2%2F8-y^2%3D1%2Cx^2%2F25%2By^2%2F16%3D1
anonymous
  • anonymous
reply if I helped
anonymous
  • anonymous
OH AND WELCOME TO OPEN STUDY

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