The center of a hyperbola is located at (0, 0). One focus is located at (0, 5) and its associated directrix is represented by the line y = . Given the standard form of the equation of a hyperbola, what are the values of a and b?

Answers

Answer 1
Answer:

The variables a and b are,

⇒  a  = 3

⇒  b  = 4

What is mean by Function?

A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines relationship between one variable and another variable.

We know that;

For a hyperbola ;

⇒ x² / a² - y² / b² = c²

where, a² + b² = c²  

And, The directrix is the line, y = a² / c

and, the focus is at (0, c).

Here, We have;

⇒ c = 5,

⇒ a² = 9,

So We get;

⇒ b² = 5² - 9 = 16.

Thus, We get;

⇒  a = √9 = 3

⇒  b = √16 = 4

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Answer 2
Answer:

Answer:

a=3

b=4

Got it right on edge

Step-by-step explanation:

if directrix is represented by the line y=9/5.


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What value is represented by the digit 8 in the number 76.285?a. eight-hundredths
b. eight tens
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The answer is a yessir

Which of the following is equivalent to xy3z2 + y2z + xyz when it is completely factored? *
A.
xyz(y2z + y + 1)
*
B.
xy2z(yz + 1 + 1)
*
C.
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D.
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Answers

The correct answer among the choices presented above is option C. The expression yz(xy2z + y + x)  is the completely factored form of the given equation xy3z2 + y2z + xyz. When you distribute yz in option c, you will see that the answer is equal to the given equation. 

sarah started her part-time job at the hourly wage of $7.30. After 6 months she got a 10% raise. To the nearest cent, whay was her hourly wage after the raise?

Answers

7.3+7.3*0.1=7.3+0.73 = $8.03

Manuel's job pays $11.50 per hour for a 40-hour work week.If Manuel worls over forty hours,he earns 1.5 times his hourly pay for each extra hour worked.How much is Manuel paid by his employer if he works 46 hours each week?

Answers

Hopes you understand my work

Final answer:

Manuel gets paid $460 for the first 40 hours of work, and an additional $103.50 for the 6 hours of overtime, making his total weekly pay $563.50 if he works 46 hours per week.

Explanation:

To calculate Manuel's weekly wage based on his hourly rate, we first need to consider his regular work hours and his overtime hours separately.

For his regular work hours, which are the first 40 hours, Manuel is paid at his regular hourly rate of $11.50. Therefore, his earnings for the 40 hours are: 40 hours * $11.50/hour = $460.

If he works more than 40 hours in a week, the additional hours are considered overtime.

For these extra hours, he is paid 1.5 times his regular pay. In this case, Manuel worked 46 hours, so he had 6 hours of overtime. His overtime earnings are: 6 hours * 1.5 * $11.50/hour = $103.50.

Adding these together, in a 46-hour week, Manuel's total earnings would be $460 + $103.50 = $563.50.

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The formula below gives D, the demand for concert tickets when the price of each ticket is P dollars. D(p)=2000-4p-p^2
What's the value if D(15)

Answers

D(15)=1715
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You do this because p=15 and you know this because 15 is inside the parentheses by d (D(p)) 

How to factorise this?!
4x-14xy

Answers

Find the highest common factor, which is 2X, therefore, this goes outside of the bracket. So inside goes 4x/2x= 2 & 14xy/2x= 7y2x(2-7y)When you multiply out of the brackets, everything should be equal
Take a factor of x out of the equation:
2x(2-7y)