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
sashaice [31]
3 years ago
8

Describe the graph represented by the equation r=5/(3+2 sin theta).

Mathematics
1 answer:
Yuki888 [10]3 years ago
8 0
We have the following equation:

r= \frac{5}{3+2sin(\theta)}

If we graph this equation we realize that in fact this is an ellipse with major axis matching the y-axis. So we can recognize these characteristics:

1. Center of the ellipse: 

The midpoint C<span> of the line segment joining the foci is called the </span>center<span> of the ellipse. So in this exercise this point is as follows:
</span>
C(0, -2)

2. Length of major axis:

The line through the foci is called the major axis<span>, so in the figure if you go from -5, at the y-coordinate, and walk through this major axis to the coordinate 1, the distance you run is the length of the major axis, that is:</span>

6 \ units

3. Length of minor axis:

The line perpendicular to the foci through the center is called the minor axis. So in the figure if you go from -2, at the x-coordinate, and walk through this minor axis to the coordinate 2, the distance you run is the length of the minor axis, that is:

4 \ units

4. Foci:

Let's find c as follows:

c=\sqrt{a^{2}-b^{2}}=\sqrt{3^{2}-2^{2}}=\sqrt{5}

Then the foci are:

f_{1}=(0, \sqrt{5}-2)

f_{2}=(0, -\sqrt{5}-2)

You might be interested in
Which expression is equivalent to 2g53 4h23<br>​
romanna [79]

Answer:

girl are u crazy

Step-by-step explanation:

3 0
3 years ago
A loan of $5000 is made by Citizens State bank at a simple interest rate of 7.25%. Calculate the simple interest owed and the to
solniwko [45]

Answer:

bite my wrist

Step-by-step explanation:

4 0
3 years ago
Determine the value of the variable in the product of powers. What is the value of x in the product of powers 55 · 5x = 52 ? x =
koban [17]

Answer:

55•5x=52

5x=52/55

5x= 0.95

x=0.19

7 0
3 years ago
Read 2 more answers
−15(x−4)=−2<br><br> Hurry! Brainliest if right!
devlian [24]

Step-by-step explanation:

The answer is 62/15.

I can't explain it bc I'm taking a test rn but still-

6 0
3 years ago
Read 2 more answers
5-1-9/3-9 What do I do?
Contact [7]
Rewrite it to simplify using order of operations.

P E M D A S
() ^2 × ÷ + -

So nw it's
5-1-(9÷3)-9

no now it's
(5-1)-(3-9)
4-(-6) I wrote the negative in parentheses to show its not an additional subtraction sign. also if you look it's sort of a plus sign. so when you subtraction (-6) from 4 it's actually 4+6

4-(-6)=10.

that's what I got. hope this helps.
7 0
3 years ago
Read 2 more answers
Other questions:
  • What is the equivalent for a 6.5 x * x + 5 .5 x + 1
    5·1 answer
  • Write the function that represents the following question: What do you get when you take away 23 from k? f(k) =
    11·1 answer
  • Complete the steps to factor
    10·2 answers
  • How do I find BCD? Please help
    13·2 answers
  • Solve the equation if there is no solution, write no solution | m | / 2 - 1 = -3
    9·2 answers
  • A circular wading pool has a diameter of 5 feet a circular swimming pool has the radius of 15 feet how many times greater is the
    5·1 answer
  • You are updating your garage and the only thing left to paint is your garage door. You
    5·1 answer
  • Please answer correctly !!!!!!!!!!!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!!!!!!!
    9·1 answer
  • PLEASE HELPPPPPP, I'LL GIVE BRIANLEST​
    6·2 answers
  • Please help me with this
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!