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
Bingel [31]
2 years ago
10

Find the major axis for the ellipse x² + 16y2-96y + 128 = 0

Mathematics
1 answer:
Softa [21]2 years ago
8 0

The major axis for the ellipse, x² + 16y² - 96y + 128 = 0 is the x-axis

To answer the question, we need to write it in the standard form of the equation of an ellipse

<h3>Equation of an ellipse</h3>

The equation of an ellipse centered at  (h,k) is

(x - h)²/a² + (y - k)²/b² (1) where a > b and the major axis is parallel to the x axis

Given x² + 16y² - 96y + 128 = 0, we convert it into the standard equation of an ellipse.

So, x² + 16y² - 96y + 128 = 0

Dividing through by 16, we have

x²/16 + 16y²/16  - 96y/16 + 128/16 = 0/16

x²/16 + y² - 6y + 8 = 0

Completing the square in y by adding and subtracting (-6/2)² = (-3)²

x²/16 + y² - 6y + (-3)² - (-3)² + 8 = 0

x²/16 + (y - 3)² - 9 + 8 = 0

x²/16 + (y - 3)² - 1 = 0

x²/16 + (y - 3)² = 1

x²/4² + (y - 3)²/1² = 1  (2)

Comparing equations (1) and (2), we have that a = 4 and b = 1.

Since a = 4 > b = 1, the major axis for the ellipse is the x-axis

So, the major axis for the ellipse, x² + 16y² - 96y + 128 = 0 is the x-axis

Learn more about ellipse here:

brainly.com/question/26679189

#SPJ1

You might be interested in
Classify 8x^3+32x^2+x+4.......
liq [111]

Answer:

(x+4)( 8x^{2}+1)

Step-by-step explanation:

:)

4 0
10 months ago
Find the slope of the line that contains each pair of points
Paul [167]

Answer:

m=3/2

m=-5/3

m=-5/9

m=8/5

m=1/2

m=0

m=1

5 0
3 years ago
Elliot put 7 cups of tea into the pitcher shown. How many more cups of tea does he need to fill the pitcher?
sukhopar [10]

Answer: The Answer would be 9.

Step-by-step explanation:

Since there is only 7 and the empty space is 2 cups, The answer would be 9. 7 + 2 = 9.

8 0
3 years ago
Albert walks 4/5 of a mile in 5/12 of an hour. what was the average speed miles er hour?
NISA [10]

Answer:

3mph

Step-by-step explanation:

his speed per hour will be 3 miles per hour

6 0
2 years ago
Which sample size out of a population of 1,000 is most likely to lead to a valid conclusion?
Klio2033 [76]
200, because the more samples you have the more correct you will be.
5 0
3 years ago
Read 2 more answers
Other questions:
  • A washer and a dryer cost $942 combined. The washer costs $42 more than the dryer. What is the cost of the dryer?
    8·2 answers
  • How to write .0000321 in scientific notation?
    8·1 answer
  • How to find the containment of a fire? PLEASE HELP I NEED HELP HELP HELP!!!!!!!! ASAP
    7·2 answers
  • A committee in Congress is made up of 19 members, and there are 9 more Democrats than Republicans on it. How many Democrats are
    14·2 answers
  • Help me please !
    14·2 answers
  • A prize of $100,$200,$500, or $1000 will be randomly awarded to a game show contestant, with the probabilities of winning each p
    12·1 answer
  • tom and sonia both mowed lawns ladt week. Tom mowed five lawns and charged $10.75 per lawn. Sonia mowed four lawns but charged $
    8·2 answers
  • 2.24 equal in real life
    13·1 answer
  • Ahab has a savings account with $4,000 in it that earns 7% simple
    15·1 answer
  • What is the area of the triangle below? 10 cm 2 20 cm 2 10.5 cm 2 11 cm 2
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!