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Softa [21]
2 years ago
7

What is the equation of a hyperbola with a = 1 and c = 9? Assume that the transverse axis is horizontal.

Mathematics
1 answer:
belka [17]2 years ago
8 0

Answer:

Step-by-step explanation:

The general formula for a horizontal hyperbola :

\frac{x^{2} }{a^{2} } -\frac{y^{2} }{b^{2} } =1

Given: a = 1 we know a² = 1 ,and that c = 9 so we know c² = 9² = 81

We also know that the relation between a, b, c for a hyperbola is c²= a²+b²

c²= a²+b², substitute what we know

81 = 1 +b², subtract 1 from both sides of the equation

80 = b²

The equation of our hyperbola is:

\frac{x^{2} }{1 } -\frac{y^{2} }{80 } =1  or  x^{2} -\frac{y^{2} }{80} =1

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The population of Kenya is 50 000 000. The population of Pakistan is 4 times greater than the population of Kenya. What is the p
Fittoniya [83]

Answer:

Step-by-step explanation:

Comment

I would think Pakistan should be more than just 4 times as large as Kenya. However if you are given that Kenya is 50 000 000 then Pakistan will be 4 times the size of Kenya.

Pakistan = 4 * Kenya

Pakistan = 4 * 50 000 000

Pakistan = 200 000 000

Answer: Pakistan = 200 000 000

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Answer:

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Step-by-step explanation:

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3 years ago
Suppose a certain home improvement outlet knows that the monthly demand for framing studs is 2,300 when the price is $4.77 each
pogonyaev

Answer:

p + 0.0001q = 5

Step-by-step explanation:

Data provided in the question:

When Price, p₁ = $4.77 ; Demand, q₁ = 2,300

and,

When Price, p₂ = 3,300 ; Demand, q₂ = 3,300

considering the above as the points on the line,

now, the general equation for a line is given as:

\frac{q_1-q}{p_1-p}=\frac{q_2-q_1}{p_2-p_1}

on substituting the respective values, we get

\frac{2,300-q}{4.77-p}=\frac{3,300-2,300}{4.67-4.77}

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or

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or

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8 0
2 years ago
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