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
Mashcka [7]
3 years ago
13

The center of an ellipse is located at (0, 0). One focus is located at (12, 0), and one directrix is at x = 14 1/12.

Mathematics
2 answers:
muminat3 years ago
6 0
The standard equation for an ellipse is
\frac{(x-h)^{2}}{a^{2}} + \frac{(y-k)^{2}}{b^{2}} =1
where
(h,k) = coordinates of the center
a, b = semi-major and semi-minor axes

Refer to the figure shown below.
The center of the ellipse is at (0,0). 
Therefore, h=0, k=0.

One focus is at (12, 0)
Therefore
c = 12

One directrix is at  14 1/12 = 169/12.
Because the directrix is located at x = a²/c, therefore
a²/12 = 169/12
a² = 169/144
a = 13

Because c² = a² - b², obtain
b² = a² - c²
     = 169 - 144 = 25
b = 5

Answer:
The equation for the ellipse is
\frac{x^{2}}{169} + \frac{y^{2}}{25} =1

malfutka [58]3 years ago
5 0

Answer:

Its A

Step-by-step explanation:

aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa

You might be interested in
How did you determine ray​
Effectus [21]

Answer:

In naming a ray, we always begin with the letter of the endpoint (where the ray starts) followed by another point on the ray in the direction it travels. Since the vertex of the angle is the endpoint of each ray and our vertex is , each of our rays must begin with . Only fails to do so.

3 0
2 years ago
Read 2 more answers
Describe the distribution of the data with regard to the shape, outliers, center, and spread.
Pepsi [2]
Create a frequency chart by using a bar graph as shown in the picture below. A frequency chart is used when you want to present how much of the data belongs to one group. For this problem, it specifically represents how many people belong to a time interval. The y-axis is the number of people and the x-axis is the time expressed in intervals.

As you can see visually, the shape of the distribution graph is skewed to the right, although not uniformly. This is justified because the relatively high data are situated on the far right side of the graph. Also, there are no outliers in the data because they are all pretty close to each other. No bar is obviously different from the others. The center is the median of all the data. If you create a middle line as represented by the horizontal line, the center data point is 21. You can verify this by arranging all the data points from smallest to largest, and selecting the middle data. Lastly, the spread is from the lowest value to the highest value. The lowest value is at 12 to 1 pm with 19 people. The highest value is at 4 to 5 pm with 24 people. Therefore, the spread is from 19 to 24.

5 0
3 years ago
Find the net price if the $10.00 list price is discounted 10%.
yanalaym [24]

Answer:

9.00

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
Determine if the segment X is half the length, double the length, two thirds the length, or the same length as segment Y.
Ipatiy [6.2K]
The right answer is The Same Length.
The triangle displayed is Isosceles. The explanation of this statement is the fact that the Line which is making a right angle it is also the one that slices the segment into equal segments. Mathematically speaking, in our triangle the 
Median is perpendicular on the segment from which results that the triangle is Isosceles and x = y.
6 0
3 years ago
How do you find the area of a circle if you already know the diameter
aev [14]

Answer:

A=πr2

Step-by-step explanation:

radius or (r) is the diameter in half. so you can take this formula and find the area

4 0
3 years ago
Read 2 more answers
Other questions:
  • F(x) = -x + 4 and g(x) = 6x + 3, find (f(x) - g(x))<br><br>A. -5x-1<br>B. 5x +1<br>C. -7x +1<br>​
    11·1 answer
  • A a fraction close to but greater than 1 1/2
    11·1 answer
  • The midpoint of \overline{\text{AB}}
    12·1 answer
  • Simplify. -6i(5+3i) Enter your answer in standard form, in the box
    12·2 answers
  • This is timed pleaseeeeee hurry!!!!!! see picture
    13·2 answers
  • Please help!!! 20 POINTS!!
    5·1 answer
  • The value of x is_____and the value of y is ___.
    8·1 answer
  • Which model shows two equal expressions when the value of x is 4?
    15·1 answer
  • I need this for myself. Help
    8·2 answers
  • Line segment JK measures 17cm. Segments JK was translated 4 units right and 8 units up for for J'K'. What is the measurement of
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!