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
stellarik [79]
3 years ago
15

Which is the equation of a hyperbola centered at the origin with y-intercepts +12 -12, and asymptote y=3x/2

Mathematics
2 answers:
dangina [55]3 years ago
6 0

Answer:

\frac{y^2}{144}-\frac{x^2}{64}=1

Step-by-step explanation:

The equation of a hyperbola centered at the origin with vertices on the y-axis is given by: \frac{y^2}{a^2}-\frac{x^2}{b^2}=1

The vertices of the hyperbola are the y-intercepts (0,12) and (0,-12)

This implies that:

2a=|12--12|

2a=24

a=12

The asymptote equation of a hyperbola is given by:

y=\pm\frac{a}{b}x

The given hyperbola has asymptote: y=\pm\frac{3}{2} x

By comparison; \frac{a}{b}=\frac{3}{2}

\implies \frac{12}{b}=\frac{12}{8}

\implies b=8

The required equation is:

\frac{y^2}{12^2}-\frac{x^2}{8^2}=1

Or

\frac{y^2}{144}-\frac{x^2}{64}=1

Stels [109]3 years ago
4 0

Answer: Answer D

\frac{y^2}{144}-\frac{x^2}{64}=1

You might be interested in
Please help me solve the table below
ArbitrLikvidat [17]

Answer:

2, 4 ,6 8

Step-by-step explanation:

Given condition y = 2x

When x = 1 , y = 2 *1 = 2

When x = 2 , y = 2 * 2= 4

when x = 3 , y = 2* 3 = 6

When x = 4 , y = 2 * 4 = 8

Hope it will help :)

5 0
3 years ago
Find the y-intercept of the line on the graph
igomit [66]

Answer:

The answer to this is y=4

Step-by-step explanation:

The answer is the point at which the line intercepts the y-axis.

Hope this helped. :)

3 0
3 years ago
Read 2 more answers
Anybody know this one? I was leaning towards D but not sure
Hoochie [10]

Answer:

You would be correct!

Step-by-step explanation:

10 × 4 = 40 40 + 15 = 55 therefore D is the answer great job!

4 0
3 years ago
Blue Line Red Line<br> y-intercept <br> slope<br> Inequality
ElenaW [278]

Answer:

Y-intercept

Step-by-step explanation:

Because they both meet

8 0
3 years ago
A line passes through the point (-8,8) and has a slope of -3/2. Write an equation in point-slope form for a this line.
zhuklara [117]

Answer:

y-8=-3/2(x+8)

Step-by-step explanation:

y-y1=m(x-x1)

y-8=-3/2(x-(-8))

y-8=-3/2(x+8)

3 0
3 years ago
Other questions:
  • How do you find slope?
    7·1 answer
  • What theorem or postulate can be used to justify that AHIG EAFIE?
    12·1 answer
  • The length of a rectangle is 3 meters less than 3 times the width. the perimeter is 58 meters. find the width.
    8·1 answer
  • Help someone plzzzzzzz
    11·2 answers
  • Don is buying a home for $190,300.He is making a 30% down payment and financing the rest with a 15 – year loan at 5.75% interest
    12·2 answers
  • Researchers doing a study comparing time spent on social media and time spent on studying randomly sampled 200 students at a maj
    5·1 answer
  • 10 The value of y varies directly with x. If x = 3, then y = 21. What is the value of x when
    10·1 answer
  • Help please ill give brainlyest​
    10·2 answers
  • Please help FAST (and no sites &gt;:()
    10·2 answers
  • What's the difference between numerical and algebraic expressions? How is the order of operations used to evaluate these express
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!