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
krok68 [10]
3 years ago
11

Find the polar equation of the conic with the focus at the pole, directrix y = -6, and eccentricity 4 (picture provided)

Mathematics
1 answer:
Keith_Richards [23]3 years ago
5 0

Answer:

Choice B is correct

Step-by-step explanation:

The eccentricity of the conic section is given as 4 and thus the conic section is a hyperbola. Hyperbolas are the only conic sections with an eccentricity greater than 1.

Next, the directrix of this hyperbola is located at y = -6 implying that the hyperbola will be opening upwards. Consequently, the polar equation of this hyperbola will be of the form;

r=\frac{k}{1-4sin(theta)}

The value of k in the numerator is the product of eccentricity and the absolute value of the directrix;

k= 4*6 = 24

The polar equation is thus given by alternative B

You might be interested in
To show how to do this step by step
Jet001 [13]

Answer:

to do it 5 x 10 x 4 x 5 x 6 x 7 x 3 x 2 3 x 4  x5

Step-by-step explanation:

x 3x 3x 3x3 x4 x4x4 x4x  to the power  of 5 million

3 0
3 years ago
The measure of EFH is twice the measure of GFH. What is the
Vladimir [108]

Answer:

30° =  m∠GFH

Step-by-step explanation:

Since ∠EFH and ∠GFH are complementary, the sum of their measures i 90.

Let x = m∠GFH

2x = m∠EFH

m∠GFH + m∠EFH = 90

x + 2x = 90

3x = 90

x = 30° =  m∠GFH

8 0
3 years ago
Simplify 2(5x – 4) + 3x
guapka [62]
To simplify, you must distribute the 2 into the 5x and -4 by multiplying 2 with 5x and 2 with -4.

<span>2(5x – 4) + 3x

2 x 5x = 10x

2 x -4 = -8

 You will get 10x - 8 + 3x

Now you must combine like terms or add like terms. In this case we must add 10x and 3x

10x + 3x = 13x

Finally the answer would be 13x - 8</span>
6 0
3 years ago
Read 2 more answers
Ahome cleaning service takes more time to clean larger spaces. The table shows the number of minutes it takes for
Naily [24]

Answer: the answer is b.

Step-by-step explanation: if you read the graph, you will see number of square feet, X the third one over you will see 100 over 40 and if you duplicate both then you get 200 for the number of square feet and 80 minutes, I hop this helps ツ.

4 0
2 years ago
Read 2 more answers
Find the radius of a circle in which an inscribed square has a side of 8 inches.​
Semenov [28]

Answer:

4\sqrt{2} =5.66

Step-by-step explanation:

The square is in the circle, so the diameter is the diagonal line of the square. This divides the square into two right triangles.

Two sides of the right triangle equal 8. This qualifies it as a special right triangle. This triangle has two sides that = x (in this case 8) and the hypotenuse is x\sqrt{2}.

Substitute 8 in for x.

8\sqrt{2} is the diameter, so we divide in half to get the radius = 4\sqrt{2}

7 0
3 years ago
Other questions:
  • Find the length of AC. <br> (Need help asap)
    7·1 answer
  • Urgent ASAP!! Imagine math
    6·1 answer
  • James earns $9.45 per hour. IfJames worked 37.75 hours last week, what was his gross pay?
    11·1 answer
  • The table below represents the equation: y = 1.5x – 2 If you completed this table, would each input have exactly one output? yes
    15·2 answers
  • Need help finding solution to
    12·1 answer
  • Plz help help help help help
    5·1 answer
  • What is the y-intercept of y=3x+5
    15·2 answers
  • Write the inequality in words 1/3n-10&gt;22​
    6·2 answers
  • Tickets to a movie cost five dollars for adults and three dollars for students a group of friends purchase 18 tickets for $82 ho
    10·1 answer
  • Suppose babies born in a large hospital have a mean weight of 3831 grams, and a variance of 108,900. If 65 babies are sampled at
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!