AnswersCUSD Advanced Math A 5.0Graphing Polar Equations

Graphing Polar Equations Answers

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Which graph represents r = 2 + 2 cos(θ)?

A
[Image: On a polar coordinate plane, a circle crosses the ...]
Option A
B
[Image: On a polar coordinate plane, a circle crosses the ...]
Option B
C
[Image: On a polar coordinate plane, a circle crosses the ...]
Option C
D
[Image: On a polar coordinate plane, a circle crosses the ...]
Option D
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Consider the equation r = 5 sin(θ). Use the drop-down boxes to complete the sentences.

Answers:
The graph is a .:circle
The graph is symmetric with respect to the .:vertical axis
The greatest distance between any two points on the graph is units.:5
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polepolar axis✔ vertical axis

A
pole
B
polar axis
C
✔ vertical axis
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12.5✔ 510

A
1
B
2.5
C
✔ 5
D
10
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The seismic wave of an earthquake is represented by the equation r = 12.8 sin(θ), where r is measured in miles.

Answers:
The seismic wave is represented by curve having a center on the .:circular
The seismic wave is represented by curve having a center on the .:positive vertical axis
The earthquake can be felt miles from its center.:6.4
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positive polar axisnegative polar axis✔ positive vertical axisnegative vertical axis

A
positive polar axis
B
negative polar axis
C
✔ positive vertical axis
D
negative vertical axis
169617

✔ 6.412.825.6

A
✔ 6.4
B
12.8
C
25.6
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What is the polar form of (x + 3)2 + y2 = 9?

A
r = −6 cos(θ)
B
r = −3 cos(θ)
C
r = 3 cos(θ)
D
r = 6 cos(θ)
169619

What is the rectangular form of r = 8 sin(θ)?

A
(x − 4)2 + y2 = 16
B
(x + 4)2 + y2 = 16
C
x2 + (y − 4)2 = 16
D
x2 + (y + 4)2 = 16
169621

What does the sum of the constant, 12, and the coefficient, 12, in the equation represent?

A
The maximum possible distance between the performer and microphone
B
The minimum possible distance between the performer and microphone
C
One half the maximum possible distance between the performer and microphone
D
One half the minimum possible distance between the performer and microphone
169625

The seismic wave of an earthquake is represented by the equation r = 12.8 sin(θ), where r is measured in miles.

Answers:
The seismic wave is represented by curve having a center on the .:circular
The seismic wave is represented by curve having a center on the .:positive vertical axis
The earthquake can be felt miles from its center.:6.4

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