The center of a hyperbola is located at the origin. one focus is located at (0, 20), and its associated directrix is represented by the line y = -256/20. what is the equation of the hyperbola?

The equation of the hyperbola is .

Step-by-step explanation:

Since directrix is , therefore the hyperbola is along the y-axis.

Focus of the hyperbola are (0,c) and (0,-c).

The given focus is (0,20), therefore the value of c is 20.

Directrix of the hyperbola is

Therefore the value of a is 16.

The relation between a, b and c is

Therefore the value of b is 12.

The standard form of the hyperbola is,

Since the value of a is 16 and the value of b is 12, therefore

D)

Step-by-step explanation:

Just took the test

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step-by-step explanation:

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the entire expression should be subtracted from 30. to subtract the quantity, distribute the negative sign, which changes the signs on the terms. so, the –2 changes to positive and gets added to 30 instead of subtracted from it.

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