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
kykrilka [37]
3 years ago
9

(Q2) Determine the eccentricity, the type of conic, and the directrix for r = 9/1+cos theta

Mathematics
1 answer:
g100num [7]3 years ago
3 0

Answer:

The answer is (d) ⇒ eccentricity = 6 , hyperbola , directrix  x = 3/2

Step-by-step explanation:

∵ r = ek/(1 ± ecosФ)

∵ r = 9/(1 + 6cosФ)

∴ e = 6 ⇒ eccentricity = 6

∵ e > 1

∴ The conic is hyperbola

∵ ek = 9

∴ k = 9/6 = 3/2

∴ The directrix  x = 3/2

You might be interested in
If one point on a horizontal line has the coordinates (10, -3), which of the points below are also on the line? Select all that
frozen [14]
The correct answers are:
______________________________________________________
  [B]:  "  (3, -3)  " ;  AND:
______________________________________________________
  [C]:  " (-2, -3) " .
______________________________________________________ 
<u>
Note</u>:
 Any point with the "y-coordinate" of  "-3" would also be on the line.

As such, the correct answers, are:
______________________________________________________
  [B]:  "  (3, -3)  " ;  AND:
______________________________________________________
  [C]:  " (-2, -3) " .
______________________________________________________ 
6 0
3 years ago
Explain the difference between the two inequalities. how does this affect your method of solution?
AfilCa [17]
I mean they both have a factor of 3 you just take -3x > 9 and just flip it
4 0
3 years ago
Twice a number is 12 more than 5 times the number.
stira [4]

Answer:

  • -4

Step-by-step explanation:

<u>Let the number be x:</u>

  • 2x = 5x + 12
  • 2x - 5x = 12
  • -3x = 12
  • x = -4

It is -4

5 0
3 years ago
Could someone help me out with this plss
Brrunno [24]

Answer:

nodda

Step-by-step explanation:

3 0
3 years ago
Directed line segment AB has endpoints A(2,3) and B(8,15). Point P has coordinated P(6,11). What ratio does P partition AB into?
Vladimir79 [104]
Refer to the graph shown below. It confirms that points A, B and P are
 collinear.

Calculate the length of AP (as a).
a = √[(6 - 2)² + (11 - 3)²]
   = 8.9443

Calculate the length of BP (as b).
b = √[(8 - 6)² + (15 - 11)²]
   = 4.4721

Calculate ratio a/b.
a/b = 8.9443/4.4721 = 2
Therefore P partitions AB in a 2:1 ratio so that AP = 2*BP.

Answer:  2:1 ratio.

7 0
3 years ago
Other questions:
  • standard form : three hundred fifty million , six thousand,seven hundred ninety one and eighty three hundreths
    6·2 answers
  • A 50-year-old male purchased a 20-Year Endowment insurance policy at the age of 40.The face value of the policy was $85,000. He
    7·2 answers
  • What is 13.8924439894 rounded to the nearest tenth
    14·2 answers
  • 4x - y = 6 and 2x - y/2 =4
    5·1 answer
  • My grade is a 65 and the assignment counts 25 percent towards my grade what do i need to make to at least get a 70 for my grade
    10·2 answers
  • Which of the following is the best example of a long-term goal?
    8·1 answer
  • What is the equation of the line that passes through the point (5, 0) and has a<br> slope of -1?
    5·2 answers
  • What numbers that are in both the 2s and the 5s pattern​
    15·1 answer
  • Which function has a constant additive rate of change of -1/4?​
    8·1 answer
  • In figure 2, find x if the perimeter is 4. Does each answer make sense? Why or why not?
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!