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
lapo4ka [179]
3 years ago
8

Which equation represents the hyperbola (y -2)^2/4 - (x-2)^2/9=1 in general form?

Mathematics
1 answer:
Ira Lisetskai [31]3 years ago
5 0

Answer:

9y^2-4x^2-36y+16x-16=0

Step-by-step explanation:

The given hyperbola has equation:

\frac{(y-2)^2}{4}-\frac{(x-2)^2}{9}=1

We multiply through by 36 to get:

9(y-2)^2-4(x-2)^2=36

We expand to get:

9(y^2-4y+4)-4(x^2-4x+4)=36

9y^2-36y+36-4x^2+16x-16=36

9y^2-36y-4x^2+16x-16=0

The equation of the hyperbola in general form is:

9y^2-4x^2-36y+16x-16=0

You might be interested in
Abraham is preparing for a race. He plans to run between 24 and 30 miles a week, either 3 or 4 days a week, and the same number
e-lub [12.9K]

Answer: Abraham could run 8 miles each day for 3 days and get 24. He could run 6 miles each day for 4 days and get 24.

Abraham can run 10 miles each day for 3 days and get 30 or he could run 7.5 miles a day for 4 days and get 30.

Not sure if this is the answer it wants or not

3 0
3 years ago
Can someone help me with number 50?
timama [110]
Let's take a peek at the denominators first off, and do a "prime factoring" on them.

25 = 5 * 5

27 = 3 * 3 * 3

45 = 3 * 3 * 5

the numbers in bold are repeated there more than once among the factors, and therefore we'll use them once, so our LCD will be 5 * 5 * 3 * 3 * 3, or 675.

\bf \stackrel{Alaska}{\cfrac{4}{25}}~+~\stackrel{Texas}{\cfrac{2}{27}}~+~\stackrel{California}{\cfrac{2}{45}}~~ \stackrel{LCD~675}{\implies }~~ \cfrac{(27)4~+~(25)2~+~(15)2}{675}
\\\\\\
\cfrac{108+50+30}{675}\implies \cfrac{188}{675}
3 0
3 years ago
You roll a fair number cube. What is the likelihood you will land on a number greater than 4?
Alekssandra [29.7K]

Answer:

1/3

Step-by-step explanation:

There are 6 faces on a number cube.

We know that 2 of those faces are greater than 4.

So,

2 out of 6 faces=2/6=1/3

7 0
3 years ago
Solve the inequality for x. Show each step of the solution. <br><br> 12x&gt;3(2x+4)-15
Leto [7]

Answer:

x<-2

Step-by-step explanation:

12x>6x+12-15 (first distribute)

12x>6x-3 (simplify)

6x>-3 (put like terms on one side by subtraction)

x<-2 (divide and switch inequality sign since you divided by a negative)

5 0
3 years ago
5. In an arithmetic sequence, the fifth term is 44 and the ninth term is 80.(a) Find the common difference. (b) Find the first t
natulia [17]

Step-by-step explanation:

first you should do is that find the common difference which is 9

6 0
2 years ago
Other questions:
  • Find all solutions to the equation secx(2 cosx-sqrt 2)=0
    12·2 answers
  • Need help with this I'm on a time limit
    10·1 answer
  • Multiplication factors that go into 46
    8·1 answer
  • 10q + 8 - 9q + 12 = 35. <br><br> q = ?
    14·2 answers
  • I'm completely confused I need help asap!
    13·1 answer
  • Please help me with this angle question :)
    6·2 answers
  • The square below represents one whole.<br> What percent is represented by the shaded area?
    9·1 answer
  • How many different sets of two-letter initials can you make using the letters D, G, M, S, and T if you can use each letter only
    12·2 answers
  • Which is a pair of dependent events?
    13·2 answers
  • The contours on a topographic map show the elevation of the visitor center at
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!