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Oksi-84 [34.3K]
4 years ago
14

If p=8, evaluate 4^2 / px3

Mathematics
1 answer:
marishachu [46]4 years ago
4 0

Answer:

4^2 / px3 = 2/3

Step-by-step explanation:

4^2 / px3 = 4^2 / 8 *3

= 4*4 / 8*3

= 4/ 2*3

= 2/3

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The equation represents a hyperbola centered at the origin with a directrix of . what is the value of b? 10 16 20 26
Rom4ik [11]

the value of b is = 10.

The equation of a hyperbola is x^2/24^2 - y^2/ (10)^2= 1.

<h3>What is hyperbola?</h3>

The geometric characteristics of a hyperbola or the equations for which it is the solution set characterize it as a particular kind of smooth curve that lies in a plane. Mirror reflections of each other that resemble two infinite bows make up a hyperbola's two connected components or branches.

<h3>What is the general formula for hyperbola?</h3>

The general formula for hyperbola = (x - h)²/a²- (y - k)²/(b)² = 1

<h3>According to the given information:</h3>

x²/24 - y²/(b)² = 1

(x - 0)²/24 - (y -0)²/(b)² = 1

a=24,h=0 and k=0

Now equation of the directrix

x=a²/c...(1)

and we know x=576/26...(2)

Therefore from 1 and 2 we get

24²/c=576/26.

isolate the c so we get,

C=26

C= center of focii

c = √(a² + b³)

c² = a² + b²

b = c² - a²

b = 10

So we get the value of b is 10.

Therefore the equation of a hyperbola is x²/24² - y²/ (10)² =  1.

To know more about Hyperbola visit:

brainly.com/question/12919612

#SPJ4

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