1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
photoshop1234 [79]
3 years ago
14

Find an equation in standard form for the hyperbola with vertices at (0,+-6) and asymptote at Y= +- 3/7x

Mathematics
1 answer:
Tasya [4]3 years ago
8 0

Answer:

\frac{y^2}{36}-\frac{x^2}{196}=1

Step-by-step explanation:

From the question we are told that:

Vertices of hyperbola at (0,\pm6)

Asymptotes at Y= \pm 3/7x

Generally the expression for Vertices of hyperbola is mathematically given by

 (0,\pm a)

Therefore

 (0,\pm a)=(0,\pm6)

Comparing variables

 a=6

Generally the expression for Asymptotes of hyperbola is mathematically given by

 y=\pm \frac{a}{b}x

Therefore

 \pm \frac{a}{b}x= \pm \frac{3}{7}x

Therefore

 \frac{6}{b}= \frac{3}{7}

 b=\frac{42}{3}

 b=14

Generally the equation for Hyperbola of hyperbola is mathematically given by

 \frac{y^2}{a^2}-\frac{x^2}{b^2}=1

 \frac{y^2}{6^2}-\frac{x^2}{14^2}=1

 \frac{y^2}{36}-\frac{x^2}{196}=1

You might be interested in
In the inequality
Rufina [12.5K]

Answer:

I think it is B correct me if I am wrong

Step-by-step explanation:

6 0
3 years ago
Write an inequality to represent the real-world problem.
Veronika [31]
20+15x 40+5x company b would be cheaper after 3 hours
3 0
3 years ago
Help is appreciated with the question that is in the image below
lesya [120]

Answer:

x = ±i, x = -3, and x = -1

Step-by-step explanation:

If x = -1 is a solution, then x + 1 is a factor.  Using grouping:

x⁴ + 4x³ + 4x² + 4x + 3 = 0

x⁴ + 4x³ + 3x² + x² + 4x + 3 = 0

x² (x² + 4x + 3) + x² + 4x + 3 = 0

(x² + 1) (x² + 4x + 3) = 0

(x² + 1) (x + 3) (x + 1) = 0

All the solutions are x = ±i, x = -3, and x = -1.

3 0
4 years ago
-0.5(x + 0.3) = 1.6x +0.9(x + 4.8) please show the work!​
loris [4]

Answer:

Step-by-step explanation:

So basically what you want to do is start with the distributive property.

-0.5(x+0.3) = 1.6x+0.9(x+4.8) would then equal -0.5x-0.15 = 1.6x+0.9x+4.32.

Then, add the matching terms on the right side (the x values) 1.6x+0.9x =2.5x

Your equation should the look like -0.5x-0.15 = 2.5x+4.32.

Next, add -0.5x to 2.5x giving you 3x

The equation will look like -0.15 = 3x+4.32

After that subtract 4.32 from -0.15 leaving you with -4.47=3x

Divide 3x from both sides

Your answer should be x= -1.49.

I hope this was helpful and not super confusing! Also if anything is incorrect let me know! :)

6 0
3 years ago
Find the first four iterates of the function f(x) = (x - 5)2 with an initial value of x0 = 4.
mina [271]

Answer:

  b.  1; 16; 121; 13,456

Step-by-step explanation:

A suitable calculator or spreadsheet can compute these for you.

Put the value of x into the formula to find the first iterate. Repeat for successive iterates.

_____

<em>Comment on the answer choices</em>

You can eliminate the first two answer choices because none of the numbers 19, 645, 12645 are perfect squares. You can eliminate the last answer choice because the first term listed is x0, not x1.

4 0
3 years ago
Other questions:
  • Answer all 4 please
    13·1 answer
  • Alina is able to swim at a rate of about 2.5 miles per hour. Talia is able to swim at a rate of 1.8 meters per second. Which sta
    5·2 answers
  • 1 1/3x2/3= what is the answer ? How do I do this?
    11·2 answers
  • Solve for x:4/5x+4/3 = 2x. . x = __________________ Write your answer as a fraction in simplest form. Use the \"/\" symbol for t
    15·2 answers
  • PLEASE HELP ASAP IM SO BEHIND ON MY WORK,OOF!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
    5·1 answer
  • Solve the following system of equations. Write each of your answers as a fraction reduced to lowest terms. In other words, write
    12·1 answer
  • What is 12×8 equals to ?
    5·2 answers
  • Identify the volume of the of the figure below
    15·1 answer
  • If the fence cost 3.50 per foot and the radius is 15 feet how much would the fence be
    12·1 answer
  • This is just a question what anime do ya'll watch I watch Dragonball Z and <br> My Hero Academia
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!