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
Readme [11.4K]
2 years ago
13

Which of the following is the equation for the graph shown?

Mathematics
1 answer:
Nina [5.8K]2 years ago
8 0

The equation of the hyperbola is \frac{x^2}{4} -\frac{y^2}{12} = 1

<h3>How to determine the equation of the graph?</h3>

The points on the graph are given as:

  • (2, 0) and (-2, 0)
  • (4, 0) and (-4, 0)
  • Lines at: x = 1 and x = -1

The hyperbola can be represented as:

\frac{x^2}{b^2} -\frac{y^2}{a^2} = 1

The points (2, 0) and (-2, 0) means that:

b = \±2

Square both sides

b^2 = 4

So, we have:

\frac{x^2}{4} -\frac{y^2}{a^2} = 1

Also, we have:

a^2 = c^2 - b^2

Where c = 4

This gives

a^2 = 4^2 - 4

Evaluate

a^2 = 12

Substitute a^2 = 12 in \frac{x^2}{4} -\frac{y^2}{a^2} = 1

\frac{x^2}{4} -\frac{y^2}{12} = 1

Hence, the equation of the hyperbola is \frac{x^2}{4} -\frac{y^2}{12} = 1

Read more about hyperbola at:

brainly.com/question/27799190

#SPJ1

You might be interested in
Go to lesson page Problem If you flip three fair coins, what is the probability that you'll get a head on the first flip, a tail
ikadub [295]
The probability of any particular sequence of N flips of a fair coin is 2^(-N).

Your probability of the given sequence of 3 coin flips is 
   2^-3 = 1/8
3 0
3 years ago
In triangle ABC, the measure of angle ABC is 51°
never [62]

Answer:

39 degrees

Step-by-step explanation:

The sum of angle in the triangle ABC is a80 degrees

m<ACB + <BAC + <ABC =1 80

90 + <BAC + 51 = 180

141 + m<BAC = 180

m<BAC = 180-141

m<BAC = 39 degrees

Hence the measure of m<BAC is 39 degrees

7 0
3 years ago
john uses a small card and a large card that are similar in size in his magic show. what is the area if the small card?
Sedaia [141]

Answer:42.7in^2

that what answer i am sure of

4 0
3 years ago
7. You have 42 chickens on your farm. They are increasing at a rate in 25% per year. Write an
myrzilka [38]

Answer:

73 or 74

Step-by-step explanation:42/4=10.5 so 31.5 + 42 is 73.5 but round up or down

6 0
3 years ago
In April, 1994, Jose Maria Olazabal won the $360,000 prize at the Masters Tournament in Augusta, Georgia. The following week, Ha
kvasek [131]

Answer:

<u><em>$225,000.</em></u>

Step-by-step explanation:

The equation to solve for the amount Irwin made would be y (The amount Irwin made) = x-135,000.

The amount Irwin made is 360000-135000= $225,000.

if you can mark brainliest that would be great

3 0
3 years ago
Other questions:
  • Consider the figure.
    6·1 answer
  • StartFraction 2 Over 3 EndFraction minus x plus StartFraction 1 Over 6 EndFraction equals 6 x. – x + = 6x
    7·1 answer
  • Idkkkkkkkkkkkkkkkkkkk help
    11·1 answer
  • Choices<br> 262<br> 560<br> 147<br> 28
    15·1 answer
  • Which numbers are the extremes of the proption shown below. 3/4 = 6/8
    8·1 answer
  • Which numbers are solutions
    6·1 answer
  • How do u work this out??<br> (picture below)<br> Thanks...
    12·2 answers
  • PLEASE HELP ME !!! IT’S DUE TODAY !!!
    11·2 answers
  • Which is the slope of the line that passes through the points (-2, 4) and (5, -1)
    7·2 answers
  • Only one left pls help me im confused
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!