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
Martha and sarah leave block p and q towards q and p respectively simultaneously and travel in the same route. After meeting eac
olga_2 [115]

The average speed of Martha and Sarah is 32 km/h.

We need to know about the speed to solve this problem. Speed can be determined as the distance traveled divided by time. It can be written as

v = s / t

where v is speed, s is distance and t is time.

From the question above, we know that:

t sarah = 3 hours

t martha = 5 hours

v sarah = 40 km/h

By using the speed equation, we get the distance

vsarah = s / tsarah

40 = s/3

s = 120 km

Find Martha's speed

vmartha = s / tmartha

vmartha = 120 / 5

vmartha = 24 km/h

Find average speed

v = (vsarah + vmartha)/2

v = (40 + 24) / 2

v = 32 km/h

Hence, the average speed of Martha and Sarah is 32 km/h.

Find more on speed at: brainly.com/question/6504879

#SPJ4

5 0
1 year ago
"400 reduced by 4 times my age is 116." what is his age?
Lynna [10]
400 reduced by 4 times my age is 116...

400 - 4x = 116
-4x = 116 - 400
-4x = - 284
x = -284/-4
x = 71 <===
4 0
3 years ago
The scores on a test have a mean of 78 and a standard deviation of 6.5. A student scored a 67 on the test. What is the Z-Score a
Komok [63]

Answer:

76

Step-by-step explanation:

5 0
2 years ago
A -------- of a number is that number times any whole number
USPshnik [31]

Answer:

quotient

Step-by-step explanation:

5 0
2 years ago
Write an equation for each line
Semmy [17]
There is no information here, could you add more. There are no lines for us to help you with so this makes it confusing for others, add more information for us to be able to help.
4 0
3 years ago
Other questions:
  • Find the value of X: 3x (-35) = 2x
    11·1 answer
  • Find the total surface area of this square based pyramid
    7·2 answers
  • Seven less than the product of a number z and 3 is equal to 4
    7·1 answer
  • Please answer quickly THIS IS FOR A TEST
    6·1 answer
  • Max drove 203 miles in 3.5 hours. What was his average speed in miles per hour?
    14·1 answer
  • For the function y=3x2: (a) Find the average rate of change of y with respect to x over the interval [3,6]. (b) Find the instant
    12·1 answer
  • Help!.................................
    11·1 answer
  • In a class of students, the following data table summarizes how many students play an instrument or a sport. What is the probabi
    8·1 answer
  • In jeremiah class 2/5 of the students are boys. What percent of the in jeremiah's class are boys
    8·2 answers
  • A random variable X with a probability density function () = {^-x &gt; 0
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!