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
A triangle has two sides that measure 4ft and 3ft. Which could be the measure of the third side?
Nezavi [6.7K]
The measure of the third side must be less than the sum of the other two. That property is valid for all triangles.

For this question, call x the measure of the third side. So you must have

x < 4 + 3

x < 7 ft

The only option that satisfies the condition above is

option A) 5 ft.

I hope this helps. =)
7 0
3 years ago
Read 2 more answers
A bag contains 2 black balls, 4 yellow balls and 4 white balls. Event A is defined as drawing a white ball on the first draw and
arsen [322]

Answer: P(B|A)=\dfrac{4}{9}

Step-by-step explanation:

Given: A bag contains 2 black balls, 4 yellow balls and 4 white balls.

Event A is defined as drawing a white ball on the first draw.

Event B is defined as drawing a black ball on the second draw.

P(B|A) is expressed as the conditional probability of occurring B given that A.

i.e. it is the probability of happening B where A is already happended.

If a white ball is drawn at first, then the number of black ball(4) remains unchanged but the total number of balls (10) will become 9.

Probability=\dfrac{Number\ of \ favorable \ outcomes}{Total\ outcomes}

Then, P(B|A)=\dfrac{4}{9}

8 0
3 years ago
EASY MATH QUESTION<br><br> PLEASE HELP
Ksju [112]

Answer:

-27

Step-by-step explanation:

substitute x for 5

f(5)=-5(5)-2

multiply -5 and 5

-25-2

subtract 2 from -25

-27

5 0
3 years ago
Read 2 more answers
What is the expression for the difference between five times a number and twice that number?​
kramer

Answer:

5x-2x

///////////////

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
What is the solution to the equation 2/3x-5/6=-5/12x+1/4
vlabodo [156]

Answer: X=13/3

Step-by-step explanation:

1. Multiply Both sides by 12

8x-10=5x+3

2. Collect the like terms, calculate the sum

8x-5x=3+10

3.Divide both sides by 3

3x=13

Answer X=13/3

Alternative Form,

X= 4 1/3, X=4.3

5 0
3 years ago
Other questions:
  • All numbers divisible by 100 are divisible by 25.
    8·1 answer
  • Samantha had 8 balloons. Jacob has 1/2 as many. How many does Jacob have?
    10·2 answers
  • Graph the function f(x)=x^3-2x+7
    7·1 answer
  • A poll of 1,068 adult Americans reveals that 48% of the voters surveyed prefer the Democratic candidate for the presidency. At t
    14·1 answer
  • There are 12 inches in 1 foot and 5,280 feet in 1 mile. Elena ran miles.
    13·1 answer
  • Find the value of the variable.
    15·1 answer
  • What is the answer? Please explain
    15·1 answer
  • The distance from Tylers house to the library is 3 miles. The distance from his home to the park is 12 miles. If the three locat
    14·1 answer
  • Whats the factored form of 6x 2 - 8x - 8 = 0
    14·1 answer
  • PLZ HELP ME ASAP W THIS !!!
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!