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
tamaranim1 [39]
2 years ago
13

Given the hyperbola (y2/16) – (x2/9) = 1, find the equations for its asymptotes.​

Biology
2 answers:
pshichka [43]2 years ago
5 0

ANSWER:

Since your hyperbola has the "y" term listed first, it opens "up and down.'

It's also centered at (0,0)

So the form is: y²/b² - x^²/a² = 1

In your case,

b² = 16

so, b = √(16) = 4.

And a² = 9

so, a = √(9) = 3.

So, the equations for the asymptotes are y = +(b/a)x and y = -(b/a)x

So we have, in your case,

y = +(4/3)x and y = - (4/3)x.

nlexa [21]2 years ago
4 0

As this equation is already in the correct format, put x and y equal to zero and you will see that when x = 0, y² = 16 which gives the y intercepts.

If you put y = 0 , you get x² = − 9 which doesn't give any real roots. The graph will therefore be a hyperbola in the shape of a V and an upside down V (as opposed to being on their sides like ><).

You can use the formula:

y = ±(b/a)x

to determine the equations of the asymptotes where

a = √9, b = √16

and you will get

y = ± (4/3)x.

You might be interested in
Which type of genes when abnormally activated so that protein is always present and active can result in cancer
IrinaK [193]
The correct answer of the given question above is ONCOGENES. Oncogenes is the type of genes when abnormally activated so that protein is always present and active can result in cancer. These are proteins that can stop the cell cycle, and a<span>re made and degraded at specific points in the cell cycle. Hope this helps.</span>
4 0
3 years ago
Which change is an environmental effect of burning fossil fuels?
Jobisdone [24]

Answer:

Fossil fuels produce large quantities of carbon dioxide when burned. Carbon emissions trap heat in the atmosphere and lead to climate change

Explanation:

8 0
3 years ago
In this reaction _____. A bar chart of potential energy of molecules for reactants and products. The reactants are A B and C D,
REY [17]

Answer:

The products have less potential energy than the reactants

Explanation:

Potential Energy is energy that can be stored in a physical system and has the ability to be transformed into kinetic energy. Potential energy is the name given to the form of energy when it is 'stored', ie it can at any time manifest itself as chemical reactions, where energy is released as a result of the work done by the reaction. . Thus, the reaction product will have less potential energy than the reactants, an example of this is the reaction described in the question above.

4 0
3 years ago
The rates of pregnancy loss are 30 percent prior to implantation, ____ percent following implantation but prior to the missed pe
Luda [366]

Answer:

The correct answer will be- 30 percent

Explanation:

Pregnancy loss or miscarriage is the natural death of the fetus or the embryo due to which the growing embryo is unable to survive.

About 70-80% of the miscarriage occurs between the first trimester or first 12 weeks of the pregnancy.

About 30-40% of all fertilized eggs get miscarried before pregnancy is known that is before implantation, 30% following implantation but prior to the missed period and 10% due to clinical miscarriage.

Thus, 30 per cent is the correct answer.

8 0
3 years ago
Based on your investigation, what challenges do scientists face when classifying a new fossil?
Tema [17]

One of the challenges that scientists face when classifying a new fossil is that any tiny detail is all that separates one species from another. Further exploration is required to identify another set of characteristics that may help in deciding which organism belongs or create a new class.  

3 0
3 years ago
Other questions:
  • Carbohydrates are important in the body because they contribute to the body's ability to
    8·2 answers
  • Which is not present on the moon?<br> light<br> atmosphere<br> heat<br> Ogravity
    9·2 answers
  • Attractions between water molecules are called:
    11·1 answer
  • Small differences between periods in offspring accumulate over time. This process
    10·1 answer
  • Which of these is not a human activity that impacts the environment?
    7·2 answers
  • A homeostatic imbalance that activates these bone cells would lead to a loss of bone density. True or False
    13·1 answer
  • What is the cloud cover in Albuquerque
    8·1 answer
  • Can someone just tell me what a matrix is :3
    14·1 answer
  • While mRNA strands are being created a sequence is sometimes miscopied.
    11·1 answer
  • Jdf-pdcj-kim /gmeet<br> any ome wanna cøme?​
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!