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
svetoff [14.1K]
3 years ago
11

Which equation represents the hyperbola in general form?

Mathematics
1 answer:
valina [46]3 years ago
7 0

ANSWER

D.

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

EXPLANATION

The standard equation of the hyperbola is

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

We multiply through by 36 to obtain:

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

We now expand to get,

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

Expand :

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

To get the general form, we equate everything to zero to get,

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

The correct choice is D.

You might be interested in
HELP! WILL MARK BRAINLIEST WITH A EXPLANATION!!!!please & thank u
mamaluj [8]

Answer:

The answer is A

Step-by-step explanation:

8 0
3 years ago
Which of these professionals most directly uses geometry?
Pavel [41]
MEDICAL IMAGING SPECIALIST
7 0
3 years ago
Y=3x<br>2y-5x=4 <br>I need the work and answer for it
telo118 [61]
U plug in the y
2 (3x) -5x=4
simplify
6x -5x =4
solve
x=4
so now you know x=4 so plug that in for x
y= 3(4)
y=12
check your answer
2(12)-5(4)=4
solve
24-20=4
4=4
so you now you got the answer right !

hope that helps!
3 0
3 years ago
For each sentence, drag a word that will make the statement true. Words may be used once or more then once.
vagabundo [1.1K]

Yo sup??

The words that might fit will be

always

sometimes

never

sometimes

Hope this helps.

8 0
3 years ago
Three teachers equally shared StartFraction 4 Over 5 EndFraction of a flat of paper that was donated to the school. What fractio
zhannawk [14.2K]

Answer:

B. 4/15 of the flat

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Other questions:
  • What is the right form?
    14·1 answer
  • The length of a rectangular painting is 3 inches longer than its width. If the diagonal is 15 inches long, what is the length of
    14·2 answers
  • ABIGAIL ORDERS A LARGE 2 TOPPING PIZZA FOR $14 AND A MEDIUM 1 TOPPING PIZZA FOR $10. IF ALL COST OF A MEDIUM PIZZA ARE 80% OF A
    6·1 answer
  • Raul and his friends, each of whom weighs 1/20 of a ton, are standing on a truck scale. The total weight shown by the scale is 3
    8·1 answer
  • Integrate ​G(x,y,z)equalsz over the parabolic cylinder yequalszsquared​, 0less than or equalsxless than or equals2​, 0less than
    5·1 answer
  • Can you plz help me with this 2.25f+5=13.5f+14​
    5·1 answer
  • At a sale, dresses were sold for $22 each. This price was 55% of a dress's original price. How much did a dress originally cost?
    5·2 answers
  • Find the product -2X²×4X²y²​
    12·2 answers
  • What is the value of the expression 5y2 + 4x when x = 2.5 and y = 3?
    8·2 answers
  • Given m|n, find the value of x.<br> (8x-20)<br> (8x+8)
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!