Which is the equation of an asymptote of the hyperbola whose equation is [tex]\frac{(x-2)x^{2} }{4} -\frac{(y-1)x^{2} }{36}[/tex]= 1?


y = −3x − 5

y = −3x − 7

y = 3x − 5

y = 3x + 7

Answers

Answer 1

The equation of the asymptote is y = 3x - 5. The correct answer is option C

What is Asymptote of an Hyperbola ?

The distance from a point and the distance to a line in hyperbola is known as asymptote. The general equation is [tex]x^{2}/ a^{2} - y^{2}/b^{2} = 1[/tex]

From the given equation of hyperbola, which is

[tex]\frac{(x - 2)^{2}}{4}[/tex]  - [tex]\frac{(y - 1)^{2} }{36}[/tex] = 1

The center (h , k) of the hyperbola = C(2, 1)

a = 2

b = 6

Where C = [tex]\sqrt{a^{2} + b^{2} }[/tex]

C = [tex]\sqrt{4 + 36}[/tex]

C = [tex]\sqrt{40}[/tex]

C = [tex]2\sqrt{10}[/tex]

The equation of the asymptote will be y - K = +/-(b/a)(x - h)

That is,

y - 1 = +/-(6/2)(x - 2)

y - 1 = +/-3(x - 2)

y - 1 = +/-3x - 6

y = +/-3x - 6 + 1

y = +/- 3x - 5

Therefore, the equation of the asymptote is y = 3x - 5.

Learn more about Asymptote here: https://brainly.com/question/4138300

#SPJ1


Related Questions

A percentage is another way to write a _________________.


Answers

Answer: fraction

Step-by-step explanation:

Answer:

Decimal

Step-by-step explanation:

For example, 10% can also be .10.

You just move the decimal two places to the right or left depending on which one you want.

Draw a Triangle whose tangent is 2. Find the values of the other five trigonometric functions

Answers

Answer:

you gonna answer it

Step-by-step explanation:

Because that's yours book

On a United States map, 1 inch represents
240 miles. Using this scale, find the distance
represented by 3.5 inches.

AND

On a California map, 1 inch represents 150 miles. Using this scale, find the distance represented by 2.5 inches.

Answers

5. C
6. B
Steps on paper

6 family members share 1/4 of a of chocolate fudge what fraction of a pound does each family member get if they share equally .
A.24
B.1/10
C.1/24
D.10​

Answers

Answer:

The answer is 1/10

Step-by-step explanation:

H(x)= -x^2+ 3x + 5 What is the average rate of change from x = 3 to x = 5

Answers

Answer:

f(x)=x^(2),[2,3]

-2x-h+3

Step-by-step explanation:

WHAT IS THE LEGENTH OF ML. PLEASE HELP NOW​

Answers

Answer:

gdfgdf

Step-by-step explanation:

If a cylinder with height 9 inches and radius rr is filled with water, it can fill a certain pitcher. How many of these pitchers can a cylinder with height 9 inches and radius 3r3r fill?

Answers

Answer:

9 pitchers

Step-by-step explanation:

Given

Cylinder 1:

[tex]Radius = r[/tex]

[tex]Height = 9[/tex]

Cylinder 2:

[tex]Radius = 3r[/tex]

[tex]Height = 9[/tex]

Required

How many pitchers' cylinder 2 can fill

First, we calculate the volume of both cylinders

Volume is calculated as:

[tex]Volume = \pi r^2h[/tex]

For A:

[tex]V_A = \pi r^2*9[/tex]

[tex]V_A = 9\pi r^2[/tex]

For B:

[tex]V_B = \pi (3r)^2 * 9[/tex]

[tex]V_B = \pi *9r^2 * 9[/tex]

[tex]V_B = 9* 9\pi r^2[/tex]

In (a): [tex]V_A = 9\pi r^2[/tex]

So, we have ve:

[tex]V_B = 9*V_A[/tex]

[tex]V_B = 9V_A[/tex]

If the first cylinder can fill 1, then the second can fill 9 pitchers

Please help me with this question I really need help!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

Step-by-step explanation:

The angles of a triangle add up to 180°.

∠4 = 180°-35°-90° = 55°

Drag each tile to the correct box.
Match each equation with its solution.

x = -0.4
x = 10
x = 2
x = -10
Equation
Solution
x − 6 = -4
arrowRight
x + 3 = -7
arrowRight
5x = -2
arrowRight
0.5x = 5
arrowRight

Answers

x - 6 = - 4

Answer: x = 2

x + 3 = -7

Answer: x = -10

5x = -2

Answer: x = -0.4

0.5x = 5

Answer: x = 10

The solutions to the equations as arranged are 2, -10, -0.4 and 10 respectively

Solving equations

Given the following equations

x − 6 = -4

Add 6 to both sides

x - 6 + 6 = -4 + 6

x = -4 + 6

x = 2

For the equation x + 3 = -7

Subtract 3 from both sides

x + 3 -3 = -7 - 3

x = -10

For the equation 5x = -2

x = -2/5

x = -0.4

For the equation

0.5x = 5

x = 5/0.5

x =10

Hence the solutions to the equations as arranged are 2, -10, -0.4 and 10 respectively

Learn more on equation here: https://brainly.com/question/2972832

#SPJ2

please help me asap!

Answers

Answer:

ST=18

Step-by-step explanation:

Tammy only has $550 of debt left. If Tammy were to pay off her debt completely today, how could you represent Tammy's situation as an equation? Who ever actually helps get brainliest.​

Answers

Answer:

Step-by-step explanation:

If Tammy has $550 in debt, and she pays it off in one day, then the equation to represent her situation would look like this.

$550 - $550 = $0

Hope this helps!

Answer:If I let +t+=+0+ ( no months have passed )

+D%280%29+=+550+

-----------------

+t+=+1+

+D%281%29+=+550+-+.19%2A550+

+D%281%29+=+550%2A%28+1+-+.19+%29+

-------------------------

+t+=+2+

+D%282%29+=+550%2A%28+1+-+.19+%29+-+.19%2A%28+550%2A%28+1+-+.19+%29+%29+

+D%282%29+=+550%2A%28+1+-+.19+%29%2A%28+1+-+.19+%29+

+D%282%29+=+550%2A%28+1+-+.19+%29%5E2+

--------------------------

This pattern continues, so the general formula is:

+D%28t%29+=+550%2A%28+1+-+.19+%29%5Et+

+D%28t%29+=+550%2A.81%5Et+

I hope you see this. Each month 19% of the

PREVIOUS months balance gets subtracted.

Step-by-step explanation:

? QUESTION
Learning Page
The ratio of men to women working for a company is 5 to 4. If there are 243 employees total, how many women work for the company?
OO EXPLANATION

Answers

Answer:

108 women

Step-by-step explanation:

add the parts of the ratio together

5 + 4 = 9

divide the total number of employees by 9

243/9 = 27

now multiply the parts of the ratio by 27.

5 X 27 = 135

4 X 27 = 108

Question 5 (4 points)
(06.01)

Evaluate the expression 43 ÷ (7 − 3) × 2. (4 points)

Answers

Answer:

21.5

Step-by-step explanation:

(solve in parentheses first)

43/(7-3)x2

(43/4)x2

86/4

21.5

Answer:

[tex]21.5[/tex]

Step-by-step explanation:

First you have to simplify 7 - 4 to 3.

[tex]43 \div 4\times 2[/tex]

Then Simplify 43 ÷ 4 to 10.75.

[tex]10.75 \times 2[/tex]

And lastly, Simplify.

[tex]21.5[/tex]

Therefor, the answer is, 21.5.

Given that 7x – 4y = 6
Find x when y=9

Answers

Answer:

6

Step-by-step explanation:

Substitute y for 9: 7x - 36 = 6

Add 36 to both sides: 7x = 42

Divide both sides by 7: x = 6

It's 6, do you need something more simplified?

X^4 - 3x^2 + 2y - 1 is a polynomial of degree

Answers

Answer:

thankyou uwhdjaossbehsa
quartic or of the 4th degree

C gives the cost, in dollars, of a cafeteria meal plan as a function of the number of meals purchased, n. The function is represented by the equation C(n) = 4 + 3n. Find C(10) and explain what your answer means in context to the situation

Answers

Answer:

Ill help if u still need

Step-by-step explanation:

It cost a bicycle company $8750 to make 50 bikes in its first month of operation and $14925 to make 115 bikes during its second month. Find a linear equation to express the company’s monthly production cost, y, in terms of the number, x of bikes it makes. y=?

Answers

Answer:

Step-by-step explanation:

[tex]y=mx+b\\ \\ m=\frac{14925-8750}{115-50}=95\\ \\ y=95x+b,\ (50,8750)\\ \\ 8750=95(50)+b\\ \\ 8750=4750+b,\ b=4000\\ \\ y=95x+4000[/tex]

Please please give answer

Answers

Answer:

A

Step-by-step explanation:

iTS JUST a

Answer:

Step-by-step explanation:

i cant see it

5m - 4z + 8m + 3 – 2z

Answers

Answer:

13m-6z+3

Step-by-step explanation:

5m-4z+8m+3-2z

5m+8m-4z-2z+3

13m-6z+3

thank you in advance

Answers

Answer:

the answer is option (b)

Answer:

First option: y= -4/3x + 7

Step-by-step explanation:

It's perpendicular

It takes 213 yards of denim to make one pair of jeans. How many yards would it take to make 5 pairs of jeans?

Answers

Answer:

1,065

Step-by-step explanation:

Multiply 213 by 5 to get your final answer.

3) A sample of 42 grams of an unknown substance has a half-life of 1,300 years.

(a) Write an equation to determine the amount of substance, S, left after t years.

(b) Approximately how long will it take for 0.2 grams of substance to remain (to the nearest year)?

Answers

Answer:

a) [tex]S(t) = 42(0.9995)^t[/tex]

b) It will take 10,692 years.

Step-by-step explanation:

Exponential function to determine the amount of substance:

An exponential function to determine the amout of substance after t years is given by:

[tex]A(t) = A(0)(1-r)^{t}[/tex]

In which A(0) is the initial amount and r is the decay rate, as a decimal.

(a) Write an equation to determine the amount of substance, S, left after t years.

Half-life of 1300 years means that [tex]A(1300) = 0.5A(0)[/tex].

We use this to find r. So

[tex]A(t) = A(0)(1-r)^{t}[/tex]

[tex]0.5A(0) = A(0)(1-r)^{1300}[/tex]

[tex](1-r)^{1300} = 0.5[/tex]

[tex]\sqrt[1300]{(1-r)^{1300}} = \sqrt[1300]{0.5}[/tex]

[tex]1 - r = 0.9995[/tex]

[tex]r = 0.0005[/tex]

Sample of 42 grams means that [tex]A(0) = 42[/tex]. So

[tex]A(t) = A(0)(1-r)^{t}[/tex]

Replacing A by S, just for notation purposes

[tex]S(t) = 42(0.9995)^t[/tex]

(b) Approximately how long will it take for 0.2 grams of substance to remain (to the nearest year)?

This is t when [tex]S(t) = 0.2[/tex]. So

[tex]S(t) = 42(0.9995)^t[/tex]

[tex]0.2 = 42(0.9995)^t[/tex]

[tex](0.9995)^t = \frac{0.2}{42}[/tex]

[tex]\log{(0.9995)^t} = \log{\frac{0.2}{42}}[/tex]

[tex]t\log{0.9995} = \log{\frac{0.2}{42}}[/tex]

[tex]t = \frac{\log{\frac{0.2}{42}}}{\log{0.9995}}[/tex]

[tex]t = 10692[/tex]

It will take 10,692 years.

15 PTS NEED ASAP HELP !!!

Answers

Answer:

use photo math it helps.......

Answer:

-1

Step-by-step explanation:

Let's simplify this equation one at a time using the order of operations:

|2 - 5| - (12÷4 - 1)^2

3 - (3 - 1)^2

3 - 2^2

3 - 4 = -1

Hope this helps!!

129-7+6
va dau coroana​

Answers

Answer:

The correct answer is 128

User will enter three grades averages (exam, project, and lab). Determine which of the three grades (consider any ties) is the highest grade and display the results. Determine which of the three grades (consider any ties) is the lowest grade and display the results. Check for any grades failing below 70% and display each individual grade. Calculate the average grade using the three grades and display the average grade. If they are all 70 and above then display the fact that they are all 70% or above.

Answers

Answer:

In Python:

exam = int(input("Exam: "))

project = int(input("Project: "))

lab = int(input("Lab: "))

if exam >= project and exam >= lab:

   print("Highest Grade: "+str(exam))

elif project >= exam and project >= lab:

   print("Highest Grade: "+str(project))

else:

   print("Highest Grade: "+str(lab))

   

if exam <= project and exam <= lab:

   print("Lowest Grade: "+str(exam))

elif project <= exam and project <= lab:

   print("Lowest Grade: "+str(project))

else:

   print("Lowest Grade: "+str(lab))

   

print("\nGrades below 70")

if exam < 70:

   print("Exam: "+str(exam))

if project < 70:

   print("Project: "+str(project))

if lab < 70:

   print("Lab: "+str(lab))

   

print("\nAverage: "+str((exam+project+lab)/3))

if exam > 70 and project >70 and lab > 70:

   print("All grades are above 70")

Step-by-step explanation:

The next three lines get input for exam, project and lab

exam = int(input("Exam: "))

project = int(input("Project: "))

lab = int(input("Lab: "))

This condition checks if exam is the highest grade

if exam >= project and exam >= lab:

If true, exam is printed as the highest grade

   print("Highest Grade: "+str(exam))

This condition checks if project is the highest grade

elif project >= exam and project >= lab:

If true, project is printed as the highest grade

   print("Highest Grade: "+str(project))

If otherwise

else:

lab is printed as the highest grade

   print("Highest Grade: "+str(lab))

This condition checks if exam is the lowest grade    

if exam <= project and exam <= lab:

If true, exam is printed as the lowest grade

   print("Lowest Grade: "+str(exam))

This condition checks if project is the lowest grade    

elif project <= exam and project <= lab:

If true, project is printed as the lowest grade

   print("Lowest Grade: "+str(project))

If otherwise

else:

lab is printed as the lowest grade

   print("Lowest Grade: "+str(lab))

   

This prints the header "Grades below 70"

print("\nGrades below 70")

This checks if exam is below 70.

if exam < 70:

If true, exam score is printed

   print("Exam: "+str(exam))

This checks if project is below 70

if project < 70:

If true, project score is printed

   print("Project: "+str(project))

This checks if lab is below 70

if lab < 70:

If true, lab score is printed

   print("Lab: "+str(lab))

   

This calculates and prints the average

print("\nAverage: "+str((exam+project+lab)/3))

This checks if all three scores are above 70

if exam > 70 and project >70 and lab > 70:

If true, the the message that all are above 70, is printed

   print("All grades are above 70")

Darby bought a rare baseball card for $2,000. Three years later, the value of the card had increased 35% of its original value. By how much did the value of Darby’s baseball card increase?

$___

Answers

The card value after its increase of 35% would be $2,700.

A penguin walks 10 feet in 6 seconds. At this speed:
1. How far does the penguin walk in 45 seconds?
2. How long does it take the penguin to walk 45 feet?
Explain or show your reasoning.

Answers

Answer:

1. 75 feet

2. 27 seconds

Step-by-step explanation:

1. If six seconds is equal  to 10 feet that means that 42 seconds is equal to 70 feet (6 X 7 = 42) It also means that 3 seconds is equal to 5 feet. (42 + 3 = 45)

2. If 6 seconds is 10 feet, then 6 X 4 is 40 feet (24) And since 5 feet is equal to   3 seconds then we get 24 + 3 = 27

WILL GIVE BRAINLIEST!!
In this lesson, you will learn more about the properties and characteristics of triangles and.

rectangles
cylinders
rhombii
circles

Answers

Answer:

rectangles

Step-by-step explanation:

Answer:

rhombii

Step-by-step explanation:

What is the y value of y=2x-3 and y=3x-7

Answers

Step-by-step explanation:

hope the above solution will help you

17. Which is M=9pn solved for p? (1 point)
p = M/n p= M-9n. p= 9n/M. p=M/9n

Answers

B 56

Step-by-step explanation:

Other Questions
The _____ method of developing systems produces code that is modular and reusable. Sarah had three times as many quarters as nickels. She had $3.20 in all. How many quarters did she have?A. 12B. 15C. 4 Jim Elliot desired to serve God as a missionary. How do you desire to serve God? Write a 3-4 sentence explanation.CAN SOMEONE ANSWER THIS CORRECTLY? Solve 3a17789- (2 + 1) + awhen a = 8 Shota invests $2000 in a certificate of deposit that earns 2, percent interest each year write a function that gives the total value v(t) in dollars, of the investment t years from now Fill in the blank with the correct word.We need to close the windowsO beforeO O OSOO whereO whereasit rains. A set of 5 numbers has an average of 50. The largest element in the set is 5 greater than 3 times the smallest element in the set. If the median of the set equals the mean, what is the largest possible value in the set What year was the Vietnam Veterans Memorial dedicated in Washington, D.C.? What factor has attributed to a situation where qualified nursing school applicants have continued to be turned away, limiting enrollment due to a shortage of faculty? I think of a number, subtract 5 and then multiply by 2. my answer is 80. what is my number? A tax that imposes a small excess burden relative to the tax revenue that it raises is. When you multiply a number by 25 you get another number that is 250 more than 1000. find the number How much will you have saved after 6 years by contributing $1,200 at the end of each year if you expect to earn 11% on the investment? A conducting loop in the form of a circle is placed perpendicular to a magnetic field of 0. 50 t. If the area of the loop decreases at a rate of 3. 0 10-3 m2/s, what is the induced emf in the loop? How many lines of output are produced when rows are grouped If people have a high degree of _______ one is more likely to want to stay with their current company. which bases are called alkaline Item7 Time Remaining 15 minutes 14 seconds00:15:14 Item 7 Time Remaining 15 minutes 14 seconds00:15:14 If __________ is the constraint, we should __________ the staffing level to raise capacity. Read the following questions and answer them using complete sentences. Be sure to fully explain your answers.What can be the challenges of wave power? Is it a reliable source of energy? Which equation would find the distance between the two points show on the coordinate plane?