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
garik1379 [7]
3 years ago
14

Determine if the graph is symmetric about the x-axis, the y-axis, or the origin. r = 2 cos 5θ

Mathematics
2 answers:
Finger [1]3 years ago
5 0

Answer:

The graph is symmetric about the x-axis.

Step-by-step explanation:

1. Symmetry about the x-axis: If the point (r, θ ) lies on the graph, then the point  (r, -θ ) or (-r, π - θ ) also lies on the graph.

2. Symmetry about the y-axis: If the point (r, θ ) lies on the graph, then the point (r,  π - θ ) or (-r, -θ ) also lies on the graph.

3. Symmetry about the origin: If the point (r, θ ) lies on the graph, then the point (-r, θ ) or (r, π + θ ) also lies on the graph.

The given polar equation is

r=2\cos (5\theta)

Check the equation by (r, -θ).

r=2\cos (-5\theta)=2\cos (5\theta)=r

Therefore, the graph is symmetric about the x-axis.

Check the equation by (-r, -θ).

-r=2\cos (-5\theta)=2\cos (5\theta)=r\neq -r

Therefore, the graph is not symmetric about the y-axis.

Check the equation by (-r, θ).

-r=2\cos (5\theta)=2\cos (5\theta)=r\neq -r

Therefore, the graph is not symmetric about the origin.

murzikaleks [220]3 years ago
3 0
Looking at the graph, we'll notice that there is a local maximum at x=0 and it looks similar on both sides of the y axis, therefore making it symmetric around the y axis given the options
You might be interested in
Best answer gets brainliest
tankabanditka [31]

I hope this is helpful.

3 0
3 years ago
Use the distributive property to expand the following expression<br><br> (9m-6)7<br><br> please help
Drupady [299]

Answer:2/3

Step-by-step explanation:

Simplifying

(9m + -6) * 7 = 0

Reorder the terms:

(-6 + 9m) * 7 = 0

Reorder the terms for easier multiplication:

7(-6 + 9m) = 0

(-6 * 7 + 9m * 7) = 0

(-42 + 63m) = 0

Solving

-42 + 63m = 0

Solving for variable 'm'.

Move all terms containing m to the left, all other terms to the right.

Add '42' to each side of the equation.

-42 + 42 + 63m = 0 + 42

Combine like terms: -42 + 42 = 0

0 + 63m = 0 + 42

63m = 0 + 42

Combine like terms: 0 + 42 = 42

63m = 42

Divide each side by '63'.

m = 0.6666666667

Simplifying

m = 0.6666666667=2/3 when simplified

7 0
2 years ago
Read 2 more answers
Solve 3x+y=11 3x+y=17 using the elimination method
Alexxandr [17]

Are these 2 different questions

6 0
2 years ago
Read 2 more answers
there are 84 students in the 8th grade. if they are split evenly into 6 groups how many students will be in each group
steposvetlana [31]
Answer: 14 students will be in each group

84 divided by 6 = 14
8 0
3 years ago
Read 2 more answers
6x-7y= -2 please help me
Nana76 [90]

Answer:

X=7/6y+-1/3

Step-by-step explanation:

It will be hard for me to demonstrate the equation

6 0
3 years ago
Other questions:
  • 42.85714 as a percent
    13·2 answers
  • If 0.000023 is expressed in the form 2.3*10n what is the value of n
    9·1 answer
  • a basketball player made 27 free throws in her last 45 tries. what is the experimental probability that she will make her next f
    9·1 answer
  • You can buy 9 cans for green beans at the village market for $4.12. You can buy 7 of the same green beans at Sam's club for $4.2
    12·2 answers
  • How many ounces are equivalent to 25 pounds?
    13·2 answers
  • Grace created the net worth statement shown.
    13·1 answer
  • 5x3 + 3x2 – (-x – 6x2) + 4x - x?
    11·1 answer
  • Anyone know the answer?
    7·1 answer
  • ? Steve has 7 biscuits in a tin. There are 3 digestive and 4 chocolate biscuits. Steve takes two biscuits at random from the tin
    8·1 answer
  • I need help with this problem. Image down below.
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!