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
gregori [183]
3 years ago
14

Find an equation in standard form for the hyperbola with vertices at (0, ±3) and foci at (0, ±7)

Mathematics
2 answers:
sergeinik [125]3 years ago
8 0

Answer:

Hope this helps :)

Step-by-step explanation:

Nitella [24]3 years ago
5 0

The equation of a hyperbola is:

(x – h)^2 / a^2 - (y – k)^2 / b^2 = 1

 

So what we have to do is to look for the values of the variables:

<span>For the given hyperbola : center (h, k) = (0, 0)
a = 3(distance from center to vertices)
a^2 = 9</span>

<span>
c = 7 (distance from center to vertices; given from the foci)
c^2 = 49</span>

 

<span>By the hypotenuse formula:
c^2 = a^2 + b^2
b^2 = c^2 - a^2 </span>

<span>b^2 =  49 – 9</span>

<span>b^2  = 40

</span>

Therefore the equation of the hyperbola is:

<span>(x^2 / 9) – (y^2 / 40) = 1</span>

You might be interested in
The graph of a quadratic function with vertex (1,-3) is shown in the figure below.
inysia [295]

Answer:

Domain: (-∞, ∞), Range: [-3, ∞)

Step-by-step explanation:

Domain is all of the possible x-values in a solution set, in this case since the solution extends infinitely horizontally it would be:

(-∞, ∞)

The range is just all of the possible y-values in a solution set, which in this set starts from -3 and proceeds on infinitely, making the range:

[-3, ∞)

8 0
1 year ago
In ΔFGH, g = 7.6 inches, h = 3.2 inches and ∠F=160°. Find the length of f, to the nearest 10th of an inch.
xxMikexx [17]

In ΔFGH, g = 7.6 inches, h = 3.2 inches and ∠F=160°. Find the length of f, to the nearest 10th of an inch.

=10.7

5 0
3 years ago
Read 2 more answers
Calculate the radius of the circle<br> a =<br> 3.6yds2
romanna [79]

Answer:

r≈0.57

Step-by-step explanation:

C=2πr

Solving for r

r=C

2π=3.6

2·π≈0.57296

8 0
3 years ago
What is, ¹⁵⁄₁ times ⁹⁄₁
torisob [31]
The answer is 135/1, or 135 as a whole.
5 0
3 years ago
Read 2 more answers
Help me out please I will give brainly
Usimov [2.4K]

Answer:

Pythagorean theorem:

a^2 + b^2 = c^2

12^2 + b^2 = 24^2

144 + b^2 = 576

b^2 = 432

b=20.8

Let me know if this helps!

8 0
3 years ago
Other questions:
  • I am redesigning a rectangular prism in geometry where I have to minimize the surface area while maintaining the same volume. I
    13·1 answer
  • Four students are asked to draw a parallelgram. each drew a differently-named figure
    14·1 answer
  • Where common multiples between three and five and one and 50
    7·1 answer
  • Jamie and Owen joined a monthly walking challenge at their youth center. Jamie has already walked 120 minutes and plans to walk
    8·1 answer
  • Type of Book
    5·1 answer
  • Please help i will give 60 points
    8·1 answer
  • The manager of a warehouse would like to know how many errors are made when a product's serial number is read by a bar-code read
    15·1 answer
  • Graphing Linear Equations
    7·1 answer
  • An insect egg can be as small as two hundredths of a millimeter long. What is this number written as a decimal? The decimal numb
    5·1 answer
  • Does anyone have the answer key PDF for Plato (Edmentum) Precalculus A End of Semester Test??
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!