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
Ahat [919]
3 years ago
11

An ellipse is graphed. Which statements about the ellipse are true? Select three options.

Mathematics
1 answer:
stellarik [79]3 years ago
8 0

Answer:

The true statements are;

1) The center of the ellipse is at (-2, -5)

3) The covertices are at (-2, -4) and (-2, -6)

4) The distance between the center and each focus is 2·√6 units

Step-by-step explanation:

The given graph of the ellipse gives;

1) The location of the center of the ellipse = (-2, -5)

2) The location of the vertices of the ellipse = (-7, -5) and (3, -5)

The distance between the center (-2, -5) and each vertex, <em>d</em>, is given as follows;

d = -2 - (-7) = 5 and d = 3 - (-2) = 5

Therefore, the distance between the center (-2, -5) and each vertex is 5 units

3) The location of the covertices, given in the diagram are (-2, -4), and (-2, -6)

4) The coordinates of the focus of an ellipse = h - c, k

c = √(a² + b²)

Where, for the given ellipse, h = -2, k = -5, c = √(5² - 1²) = √(24) = 2·√6

∴ The location of the focus of the ellipse = (-2 - 2·√6, -5)

The distance between the center and each focus, d = -2 - (-2 - 2·√6) = 2·√6

5) The x-coordinate of the directrices of the ellipse = ± a/e

Where; a = 5

b² = a²·(1 - e²)

∴ e² = 1 - b²/a² = 1 - 1/25 = 24/25

e = 2·√6/5

The directrices = -2 ± 5/(2·√6/5) ≈ -2 ± 5.1

The distance between the center and the directrices ≈ 5.1 units

Therefore, the directrices are vertical lines approximately 5.1 units from the center

You might be interested in
Please someone help!!
egoroff_w [7]
To negatives equal a positive. Convert both of the mixed numbers into a improper fraction. Cross simplify 5 and 5, they both turn into one’s. Multiply and you should get 7/3 or 2 1/3.
7 0
3 years ago
Read 2 more answers
What is the value of X?
nasty-shy [4]

Answer:

It is 23

Step-by-step explanation:

BC= FE

(x-4)=19

Therefore x= 23

6 0
2 years ago
Please need with one
dezoksy [38]
48+27=75

27/75 x 100 = 36% regular soda

8 0
3 years ago
Solve the inequality <br><br> 6(x-3)/8≥3
vivado [14]

Answer:

x≥7

Step-by-step explanation:

6(x-3)/8≥3

Multiply each side by 8/6

8/6*6(x-3)/8≥3*8/6

(x-3)≥4

Add 3 to each side

x-3+3≥4+3

x≥7

8 0
3 years ago
Students are making ornaments and each takes 1 2 of a piece of Bristol board. They go to the cupboard and find 1 1 2 pieces of B
s2008m [1.1K]

Answer: 3

Step-by-step explanation:

Feom the question, we are informed that students are making ornaments and each takes 1/2 of a piece of Bristol board and that they go to the cupboard and find 1 1/2 pieces of Bristol board.

The number of ornaments that they can make will be calculated by dividing 1 1/2 by 1/2. This will be:

= 1 1/2 ÷ 1/2

= 3/2 ÷ 1/2

= 3/2 × 2/1

= 3

They can make 3 ornaments

8 0
3 years ago
Other questions:
  • Find f(0) and f(2) for the given exponential function. f(x) = (1/2)^-x
    11·1 answer
  • 2.39 written as a fraction
    11·1 answer
  • The daily expenses for each of a transportation service company’s trucks is given by the function d(x) = 15 + 0.5x, where d(x) i
    8·2 answers
  • When negative five is subtracted from a number the result is 10. Find the number.
    13·2 answers
  • Brain operation
    9·1 answer
  • You are certain to get a black or a red card when selecting cards from a shuffled deck. Express the indicated degree of likeliho
    12·1 answer
  • 1. Lisa is working with the system of equations x+2y=7 and 2x−5y=5. She multiplies the first equation by 2 and then subtracts th
    5·1 answer
  • What’s the percent of 4.3% of 1200
    13·2 answers
  • Graphs of Polynomial Functions Gizmo
    5·1 answer
  • Don and Ana are driving to their vacation destination. Upon entering the freeway they began driving at a constant rate of 60 mil
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!