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Find the equation of hyperbola satisfying the given conditions. Vertices at (0, 21) and (0, 21); foci at (0, 29) and (0,The equation of the hyperbola is (ype an equ...

Question

Find the equation of hyperbola satisfying the given conditions. Vertices at (0, 21) and (0, 21); foci at (0, 29) and (0,The equation of the hyperbola is (ype an equation. Type your answer in standard form )

Find the equation of hyperbola satisfying the given conditions. Vertices at (0, 21) and (0, 21); foci at (0, 29) and (0, The equation of the hyperbola is (ype an equation. Type your answer in standard form )



Answers

Find the equation in standard form of the conic that satisfies the given conditions. Hyperbola with vertices at (4,1) and (-2,1)$;$ foci at (5,1) and (-3,1).

Okay. So because our folk I and Burgess Cesaire on the Y axis and their center is 00 we can start writing the equation for this hyperbole with y squared minus X square is equal to one I might be value I used in The Vergis is has to be equal to a one and B squared is one was one squared is one. And then we can use our relationship to say that the focal length which is to square it's equal today a squared plus B squared and therefore a squared would have to be equal to three. Okay, that's all we need. There's our equation. Thank you very much.

Find the standard form of the question off Hyper bola. Given what I said, my next to come on. One and two, coma one and folk a minus three. Coma one and three coma. One. Here The given word ice is like on horizontal line means high. Potable law has horizontal transfers. Excess. Then it is standard form will be X minus at only square, divided by a squared my nest by minus key Holy Square A divided by B squared. Proven. Now find the video off a B at NK we know midpoint over Texas are santeros hyper bola By using midpoint, we can write minus two plus two, divided by two one plus one, divided by two from your brigade center. Esko Monte zero comma one. Now compare. It's worth bases from given where ties it from its a standard. What I says it is at my Nesquik, Oman K minus two. Come on, one equal. Do at zero minus a equal to one form your brigade, my next book or does zero minus a. Then it would be Do no compared its for gay from its standard for great to hear the artisanal folk. A. It's just a wonderful days edge. School must see Gomaa. Okay, three common, one equal. Do at zero. Plessy is one. From here we get sequel Do Tree. I'll find the video off. VP, We have formula C squared equals toe a square Place be square. C squared is nine a square is four plus B squared formula We get we split According to fight Now we have the value is clerical before being square called five on its center Exco Monkey is zero coma one It's the question will be x minus at it is zero on the square divided by a square four my nest Y minus 11 whole square devoured by five I will do one begin for the right X squared, divided by four minus Y minus one Holy squared divided by five people to one. This will be there Standard form off given But I says and four k off the hyper mullah

The folk I off the hyper Bhola is given at 06 on zero minus six. Violet vortices are given at 02 on zero minus two. So we need to construct the aggression off the given hyper bola from the values we can see that sees equal to plus minus six while is equal to plus minus two. So we know that C square is equal toe a squared plus B squared, which means the square is equal to that the six minus four, which is equal to 32. So therefore, the required equation off the hyper bulla will be Why squared, divided by a squared minus X squared, divided X squared, divided by B squared is equal to one putting the values we get. Why squared? Divided by four minus X squared divided by 32 is equal to what?

All right. So when given, um, the posi and the bird Issy we can see that the Y position with the Post. See, that's the sea. And with the vergis e, that's the A And these matter because this tells me that why is in the positive position. So that should be y square over a squared minus x squared over B squared is equal to one. This is standard for so now, with Posey, I know that c squared is equal to a squared plus B squared. So I can already tell you that, um, y squared over a squared weaken Tell a is one. So you can either right, The one just so you can think in your mind. Hey, I have that done or, um, most of time. The textbook won't write it, and they'll will leave it blank under there. Okay, So either way, I'm sure I don't. I've never known a professor to count off. If you actually write that invisible one toe, help your brain, I'm gonna write it just so that we know that we have a squared and we're searching for this b squared. So C squared psi is to square that four is equal to one squared plus B so B squared. All I have to do is attract ones. Attract one B squared is equal to Did you two do three and there we go.


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