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
Mice21 [21]
3 years ago
15

Which is the equation of an ellipse with directrices at x = ±4 and foci at (2, 0) and (−2, 0)?

Mathematics
1 answer:
NemiM [27]3 years ago
6 0

Answer:

x squared over 4 plus y squared over 8 equals 1

Step-by-step explanation:

The general equation of ellipse is given as;

(x²/a²) + (y²/b²) = 1

The coordinates of a foci are: (±c, 0) where;

c² = b² - a²

However, we know that equation of directrix is; x = ±a/e

Now, Directrix is given ±4

Thus, a/e = 4

a = 4e

We also know that c = ae from ellipse foci coordinates.

Thus, ae = 2

since ae = 2, then (4e)e = 2

4e² = 2

e² = 2/4

e = 1/2

Thus;

a = 4 × 1/2

a = 2

Since c² = b² - a²;

2² = b² - 2²

4 = b² - 4

b² = 8

From (x²/a²) + (y²/b²) = 1, we can put our values to get;

x²/4 + y²/8 = 1

You might be interested in
What is the discriminant of -2x to the power of 2 -x-1=0
Lorico [155]
Uhhh 67904- 67903-iwbisbeus e
8 0
3 years ago
Help me please<br><br>are opposite numbers always different
igor_vitrenko [27]
No they are not always diffrent
7 0
3 years ago
Read 2 more answers
Please help asap 45 pts
trapecia [35]
C) if you multiply it you get w^2 + 7w +11w+77, which is w^2+18w+77
7 0
3 years ago
Read 2 more answers
The ratio of two complementary angles is 5:4. Find the measure of both angles.
grandymaker [24]

Answer:

50 degrees and 40 degrees

Step-by-step explanation:

50 degrees and 40 degrees

complimentary = add up to 90 degrees

5:4:9

50:40:90

7 0
3 years ago
Read 2 more answers
If the number in the numerator of a unit rate is one what does this indicate about the equivalent unit rate
OleMash [197]
I don't know if this helps but an equivalent rate is:Rates that represent the same comparison; for example 90km
                    2h         Fraction<------
and 45km/h Confusing i know
7 0
3 years ago
Other questions:
  • Help please ! its geometry
    7·2 answers
  • Chapter 9.1 the bar graph
    11·1 answer
  • X y
    5·2 answers
  • The Seattle Space needle is 604 feet tall. A model of the building is 48 inches tall. What is the ratio of the height of the mod
    6·2 answers
  • Practice worksheet : relations and functions
    8·2 answers
  • 15. The number of girls varied directly as the number of boys and inversely as the number of teachers. When there were 50 girls,
    7·1 answer
  • Find the GCF of 100x2y5 and 40x3y2 <br> Include the factors please
    9·1 answer
  • Mr. Barsotti has cards numbered 1 through 12. What is the theoretical probability that he draws a number less than 5
    11·2 answers
  • Help please please please
    6·1 answer
  • Hundred chart: I am thinking of a number that is greater than 70 but less than 100.
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!