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
Lelechka [254]
2 years ago
10

4. will give brainliest

Mathematics
1 answer:
saul85 [17]2 years ago
8 0

The equation of the ellipse in <em>standard</em> form is (x + 3)² / 100 + (y - 2)² / 64 = 1. (Correct choice: B)

<h3>What is the equation of the ellipse associated with the coordinates of the foci?</h3>

By <em>analytical</em> geometry we know that foci are along the <em>major</em> axis of ellipses and beside the statement we find that such axis is parallel to the x-axis of Cartesian plane. Then, the <em>standard</em> form of the equation of the ellipse is of the following form:

(x - h)² / a² + (y - k)² / b² = 1, where a > b     (1)

Where:

  • a - Length of the major semiaxis.
  • b - Length of the minor semiaxis.

Now, we proceed to find the vertex and the lengths of the semiaxes:

a = 10 units.

b = 8 units.

Vertex

V(x, y) = 0.5 · F₁(x, y) + 0.5 · F₂(x, y)

V(x, y) = 0.5 · (3, 2) + 0.5 · (- 9, 2)

V(x, y) = (1.5, 1) + (- 4.5, 1)

V(x, y) = (- 3, 2)

The equation of the ellipse in <em>standard</em> form is (x + 3)² / 100 + (y - 2)² / 64 = 1. (Correct choice: B)

To learn more on ellipses: brainly.com/question/14281133

#SPJ1

You might be interested in
Two classmates are preparing research papers and are organizing their information on index cards. William is using 4 in by 6 in
ch4aika [34]
Not similar one is using a 20 in area and the other is using a 96 in area
3 0
3 years ago
Which of the following is a solution of the equation 9- 2x=-1?<br> 04<br> 05<br> 04<br> 0-5
8_murik_8 [283]

Answer:

the answer is 5

Step-by-step explanation:

9-2x=-1. you subtract the 9 from both sides, giving you -2x=-10. then you divide the -10 by -2 which gives you 5

8 0
3 years ago
Read 2 more answers
Katie is going to a carnival and received $50 from her mother to spend. At the carnival, entry costs $12.00 and ride tickets cos
nlexa [21]

Answer: See explanation

Step-by-step explanation:

Your question isn't complete but I believe that you want to know the number of rides that Katie can take.

Based on the information in the question, we can form an equation. Let the number of rides that Katie can take be represented by x. Therefore,

12 + (1.25 × x) = 50

12 + 1.25x = 50

1.25x = 50 - 12

1.25x = 38

x = 38/1.25

x = 30.4

Therefore, Katie can take at most 30 rides.

3 0
3 years ago
There are _____ taste buds. Each of these contains _____ taste receptors
alexgriva [62]
5; 5,000 to 10,000




................................

4 0
3 years ago
Read 2 more answers
5. The heights of 500 female students are measured, half of whom are college students and half of whom are second-grade students
AysviL [449]

Using statistical concepts, it is found that:

  • 2 modes would be expected for the distribution.
  • The distribution would be symmetric.

-------------------------------

  • Heights are traditionally normally distributed, which is a symmetric distribution.
  • Second-grade students are considerably shorter than college students, so there would be two modes.
  • Both distributions, for the height of second grade and of college students, are normal, which is symmetric, thus the combined distribution will also be symmetric.

A similar problem is given at brainly.com/question/13460485

4 0
2 years ago
Other questions:
  • If the sum of two numbers is 90 but their difference is 12 what are the two numbers
    9·1 answer
  • The GCF of the following numbers. 32 and 40
    10·1 answer
  • Can someone answer 14,15 and 16? Thank you!
    12·1 answer
  • Estimating with fractions and mixed numbers
    6·2 answers
  • 7x+1.1=-3.8 ffffffffffffffffff
    7·1 answer
  • The sum of twelve and four times a number is 36. What is the number?
    6·1 answer
  • Yea I need help hehehe
    8·2 answers
  • Which letter on the number line represents the number 2.3?
    10·1 answer
  • Harry charges $4 to babysit for the first hour. For each additional hour, he charges
    11·1 answer
  • A square field has an area of 4823m²(show your work! ) ​
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!