SAT, 08.12.2019 08:31 isaiahcannon6158

What is the equation of the hyperbola with foci (0, 10), (0, ? 10) and vertices (0, 6), (0, ? 6)

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Answer from: makennahudson94

As given,

Foci (0,10) ; (0,-10) and Vertices (0,6) ; (0,-6)

Now we know the general equation of hyperbola will be,

$\frac{y^{2} }{a^{2} } -\frac{x^{2} }{b^{2} } =1\\\\$

Now distance from origin to vertex is given, 6 ;

therefore, a=6

And distance from origin to Focus is given , $c=10;\\$

Using the equation, $c^{2}=a^{2}+b^{2} \\c=10 ; a=6,$

Apply these values in the equation and find out the value of b,

$c^{2}=a^{2} +b^{2}\\10^{2}=6^{2}+b^{2}\\100=36+b^{2}\\100-36=b^{2}\\ b^{2}=64\\ b=8\\$

Hence equation of Hyperbola will be,

$\frac{y^{2} }{6^{2} }-\frac{x^{2} }{8^{2} }=1\\\frac{y^{2} }{36}-\frac{x^{2} }{64} =1$

Here we are done.

Answer from: Quest

Answer most life would not exist;

Answer from: Quest

answer: compare a myth legend, or classic work of literature of you choice to a modern work that reinterprets it.focus on the similarities in theme between the newer work and the original, and provide examples that illustrate these themes from both works. the modern work may be any novel, movie, play, short story, or other storytelling medium with which you’re familiars long as it is clearly inspired by a myth, legend, or classic work of literature.

short-response prompt

read the following excerpt from “fish cheeks” by amy tannin which tan recounts a christmas eve dinner.

i fell in love with the minister’s son the winter i turned fourteen. he was not chinese, but as white as mary in the manger. for christmas i prayed for this blond-haired boy, robert, and a slim new american nose.

on christmas eve i saw that my mother had outdone herself in creating a strange menu. she was pulling black veins out of the backs of fleshy prawns. the kitchen was littered with appalling mounds of raw food: a slimy rock cod with bulging fish eyes that pleaded not to be thrown into a pan of hot oil. tofu, which looked like stacked wedges of rubbery white sponges. a howl soaking dried fungus back to life. a plate of squid, their backs crisscrossed with knife markings so they resembled bicycle tires.

after everyone had gone, my mother said to me. “you want to be the same as american girls on the outside.” she handed me an early gift. it was a miniskirt in beige tweed. “but in side you must always be chinese. you must be proud you are different. your only shame is to have shame.”

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What is the equation of the hyperbola with foci (0, 10), (0, ? 10) and vertices (0, 6), (0, ? 6)...

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