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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.

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10y ago

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The graph of the equation below is a hyperbola What are the slopes of the hyperbolas asymptotes?

7/12 and 7/12 is the answer


What a hyperbola has that other conic doesn't have?

A hyperbola has two separate branches that extend infinitely in opposite directions, which distinguishes it from other conic sections like ellipses and parabolas that are connected or continuous. Additionally, hyperbolas possess asymptotes—lines that the branches approach but never touch—providing unique geometric properties not found in circles or ellipses. This duality and the presence of asymptotes are defining characteristics of hyperbolas.


What are the followings-hyberbola-asymptotes of hyperbola-centre of hyperbola-conjugated diameter of hyperbola-diameter of hyperbola-directrices of hyperbola-eccentricity of hyperbola?

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.


What are the equation of the asymptotes for each graph?

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


What are the three types of asymptotes?

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


How are hyperbolas different from parabolas?

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.


What do the asymptotes represent when you graph the tangent function?

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


What rhymes with asymptotes?

music notes


How many asymptotes does a ellipse have?

None.


Does an ellipse have asymptotes?

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.


Why are asymptotes important characteristics of rational functions?

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


How are circles ellipses hyperbolas and parabolas used in real life?

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