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kenny6666 [7]
3 years ago
11

Which of the following types of symmetry does the graph of the equation r=6sin 5 theta have?

Mathematics
2 answers:
Ivenika [448]3 years ago
6 0

Answer:

B

Step-by-step explanation:

Plot the graph of the equation r=6\sin 5\theta on the polar coordinate plane (see attached diagram for details).

A. There is no symmetry about the horizontal axis, because three parts of the graph are above the axis and two parts of the graph are under the axis.

B. There is  symmetry about the vertical axis, because if you reflect left (or right) part about the vertical axis it will coincide with the other part.

C. There is no symmetry about the pole (see diagram)

D. This option is false, because option B is true (there is axis of symmetry)

9966 [12]3 years ago
4 0

Answer:

The correct option is 2.

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 equation is

r=6\sin (5\theta)

Check the equation by (r, -θ ).

r=6\sin (5(-\theta))

r=-6\sin (5\theta)=-r\neq r

The given equation do not have symmetry about the x-axis or horizontal axis.

Check the equation by (-r, -θ).

-r=6\sin (5(-\theta))

-r=-6\sin (5\theta)

-r=-r

LHS=RHS

The given equation have symmetry about the y-axis or vertical axis.

Check the equation by (-r, θ).

-r=6\sin (5\theta)

-r\neq r

The given equation do not have symmetry about the origin or pole.

Therefore the correct option is 2.

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Y varies directly with x. If x = 16 and y = 2 find y when x = 96
ArbitrLikvidat [17]

Answer:

y = 12

Step-by-step explanation:

Use the equation y = kx

Plug in x and y to find k:

2 = k(16)

1/8 = k

Then, plug in 1/8 as k and 96 as x to find y:

y = 1/8(96)

y = 12

6 0
3 years ago
Beth left school driving toward the lake one hour before tim. tim drove in the opposite direction going 6 mph slower than beth f
m_a_m_a [10]

Beth's speed was 60 mph.

<h3>What is speed?</h3>
  • The speed (commonly referred to as v) of an object in everyday use and kinematics is the magnitude of the change in its position over time or the magnitude of the change in its position per unit of time; it is thus a scalar quantity.
  • The distance traveled by an object in a time interval is divided by the duration of the interval; the instantaneous speed is the limit of the average speed as the duration of the time interval approaches zero.
  • Velocity is not the same as speed.

To find what was Beth's speed:

Beth's data:

  • time = 2 hrs; rate = r mph; distance = r×t = 2r miles

Tim's data:

  • time = 1 hr; rate = r-6 mph; distance = r-6 miles

Equation:

  • distance + distance = 174 miles

So,

  • 2r + r - 6 = 174
  • 3r - 6 = 174
  • 3r = 180
  • r = 60 mph (Beth's rate)
  • r-6 = 54 mph (Tims's rate)

Therefore, Beth's speed was 60 mph.

Know more about speed here:

brainly.com/question/4931057

#SPJ4

3 0
1 year ago
Which number is not in scientific notation? Question 15 options: 1) 0.2 ⋅ 103 2) 3 ⋅ 1028 3) 1.03 ⋅ 10−2 4) 1.5 ⋅ 10−6
SashulF [63]
I believe it’s number 2.
3 0
3 years ago
Read 2 more answers
Please help on this ill give braneliest
horsena [70]

Answer:

-2.5

Step-by-step explanation:

25/-10 = -2.5

20/-8 = 2.5

10/-4 = 2.5

-5/2 = 2.5

so the answer is -2.5

Can I pls have brainliest

8 0
2 years ago
How to put y =2x+1 on a table
valentina_108 [34]

Answer:

I put the table below

Step-by-step explanation:

Find x and y values for the equation.

Put these values into a table

If this answer helps, please make me Brainliest!

7 0
3 years ago
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