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
avanturin [10]
3 years ago
8

Write the equation of the conic section with the given properties:

Mathematics
1 answer:
timurjin [86]3 years ago
5 0

Answer:

\frac{x^2}{64} + \frac{y^2}{25} =1

Step-by-step explanation:

An ellipse with vertices (-8, 0) and (8, 0)

Distance between two vertices = 2a

Distance between (-8,0) and (8,0) = 16

2a= 16

so a= 8

Vertex is (h+a,k)

we know a=8, so vertex is (h+8,k)

Now compare (h+8,k) with vertex (8,0) and find out h and k

h+8 =8, h=0

k =0  

a minor axis of length 10.

Length of minor axis = 2b

2b = 10

so b = 5

General formula for the equation of horizontal ellipse is

\frac{(x-h)^2}{a^2} + \frac{(y-k)^2}{b} =1

a= 8 , b=5 , h=0,k=0. equation becomes

\frac{(x-0)^2}{8^2} + \frac{(y-0)^2}{5} =1

\frac{x^2}{64} + \frac{y^2}{25} =1

You might be interested in
I need help on these questions pls
Lady bird [3.3K]
3a. Megan's car has more gas
3b. 2/3=66.666% and 3/5= 60% so 6 2/3 gallons

5. 108.09-15.45= 92.64


3 0
3 years ago
Which expression is equivalent to -6-(-2)?
const2013 [10]
The answer is -4 because two negatives is the same as adding so -6 + 2 = -4
5 0
3 years ago
Read 2 more answers
Your favorite restaurant offers a total of 14 desserts, of which 8 have ice cream as a main ingredient and 12 have fruit as a ma
djyliett [7]
Your favorite restaurant offers a total of 13 desserts, of which 11 have ice cream as a main ingredient and 9 have fruit as a main ingredient. Assuming that all of them have either...
3 0
3 years ago
These are the means and standard deviations for samples of prices from two
marysya [2.9K]
Its Letter B!!!!!!!!!!!!
7 0
1 year ago
The blue dot is at what value on the number line?
EastWind [94]
I think it’s 4 if the lines are going up by 2
4 0
3 years ago
Read 2 more answers
Other questions:
  • Which triangle always has 3 sides the same length and all angles the same measure? A. equilateral B. acute scalene C. obtuse iso
    8·1 answer
  • A baker is making an oversized sheet cake for a school dance. The recipe calls for 2 cups of sugar for every 3 cups of flour. Ho
    15·2 answers
  • What's 29.4983 rounded to the nearest cent
    15·1 answer
  • I need help on the question and I need to do it because I’m on a time schedule
    5·1 answer
  • Chrysanthemum is serving iced tea and lemonade at a picnic. She has only 80 glasses in which to
    9·1 answer
  • What are the solution(s) to the quadratic equation 40 - x2 = 0?
    15·1 answer
  • 96 = 12d<br><br> A. 108 B. 84 C. 8 D. −1 8
    10·2 answers
  • Find the exact height of the isosceles triangle.<br><br> Please help me on this question I’m stuck:(
    12·1 answer
  • Survey: On free time 90 students like watching TV, 20 like watching TV but not reading, 80 like reading, 40 do not like watching
    15·1 answer
  • Which of the following is the solution to the following system of inequalities? x + 2y 2​
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!