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1 year ago

What is the length of the conjugate axis? (y-2)^2/16 -(x+1)^2/144=1

Mathematics

1 answer:

aleksandr82 [10.1K]1 year ago

7 0

Answer: 24

A hyperbola is the locus of a point in a plane which moves in the plane in such a way that the ratio of its distance from a fixed point in the same plane to its distance from a fixed line is always constant, which is always greater than unity.

the fixed point is called the focus and the fixed line is directrix and the ratio is the eccentricity.

The general equation for the vertical hyperbola is

[ (y-k)^2 / a^2 ] – [ (x-h)^2 / b^2 ] = 1

The conjugate axis of the vertical hyperbola is y = k

Length of the conjugate axis = 2b

According to the question k = 2, h = -1, a = 4, b = 12

Length of the conjugate axis = 2b = 2 * 12 = 24

Learn more about hyperbola here :

brainly.com/question/3351710

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Hitman42 [59]

Answer:

The probability that a radio selected at random will last from 600 to 700 hours is 0.3413

Step-by-step explanation:

The playing life of a Sunshine radio is normally distributed

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Standard deviation = $\sigma = 100 hours$

We are supposed to find the probability that a radio selected at random will last from 600 to 700 hours i.e.P(600<x<700)

Formula: $Z= \frac{x-\mu}{\sigma}$

At x = 600

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At x = 700

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A yearbook printer charges based on the number of pages printed. Here is a table that shows the cost of some recent yearbooks:

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y = 0.012x + 0.65

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Step-by-step explanation: Hope this helps Have a brilliant day of learning!

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