How do you find the standard form of the equation of the hyperbola given the properties foci #(+-5,0)#, length of the conjugate axis 6?
Please see the explanation.
Substitute the value for "b" into equation [1]:
We know that the general forms for the foci are:
This allows us to write the following equations:
Substitute the value for k into equation [2]:
Find the value of h by adding equations [4] and [5]:
Substitute into equation [6]:
Use equation [5] to find the value of "a":
#25 = a^2+9
Substitute the value of "a" into equation [7]
Equation [8] is the equation of the hyperbola.
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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
- What are the equations in standard form of the equations #9x^2+16y^2=144# and #25x^2+9y^2-18y-216=0# ?
- How are the graphs of # y=|x| # and #y = |x| - 15# related?
- How do you identify the vertices, foci, and direction of #y^2/25-x^2/16=1#?
- How do you find the vertices, asymptote, foci and graph #x^2-9y^2=25#?
- How do you find the coordinates of the vertices, foci, and the equation of the asymptotes for the hyperbola #(y-3)^2/25-(x-2)^2/16=1#?

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