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If a hyperbola is vertical, the asymptotes have a slope of m = +- a/b. If a hyperbola is horizontal, the asymptotes have a slope of m = +- b/a.

Q: What are the slopes of the hyperbola's asymptotes?

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7/12 and 7/12 is the answer

When you graph a tangent function, the asymptotes represent x values 90 and 270.

Not sure what non-verticle means, but a rational function can have up to 2 non-vertical asymptotes,

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No, it will always have one.

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7/12 and 7/12 is the answer

Asymptotes are the guidelines that a hyperbola follows. They form an X and the hyperbola always gets closer to them but never touches them. If the transverse axis of your hyperbola is horizontal, the slopes of your asymptotes are + or - b/a. If the transverse axis is vertical, the slopes are + or - a/b. The center of a hyperbola is (h,k). I don't know what the rest of your questions are, though.

that's simple an equation is settled of asymptotes so if you know the asymptotes... etc etc Need more help? write it

Three types of asymptotes are oblique/slant, horizontal, and vertical

hyperbolas have an eccentricity (fixed point to fixed line ratio) that is greater than 1, while the parabolas have an exact eccentricity that is equal to 1. And hyperbolas are always come in pairs while parabolas are not.

When you graph a tangent function, the asymptotes represent x values 90 and 270.

None.

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ellipses do have asymptotes, but they are imaginary, so they are generally not considered asymptotes. If the equation of the ellipse is in the form a(x-h)^2 + b(y-k)^2 = 1 then the asymptotes are the lines a(y-k)+bi(x-h)=0 ai(y-k)+b(x-h)=0 the intersection of the asymptotes is the center of the ellipse.

Asymptotes are one way - not the only way, but one of several - to analyze the general behavior of a function.

--actually they are used in real life. parabolas are seen in "parabolic microphones" or satellites. and there are others for both ellipses and hyperbolas.

Not sure what non-verticle means, but a rational function can have up to 2 non-vertical asymptotes,