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In-s [12.5K]
3 years ago
7

Determine the graph of the polar equation r=4/(1-1/2cosx(theta))

Mathematics
1 answer:
crimeas [40]3 years ago
6 0

Answer:

  see below

Step-by-step explanation:

We assume you want the graph of ...

  r=\dfrac{4}{1-\frac{1}{2}\cos{(\theta)}}

A graphing calculator or spreadsheet is useful for this.

__

You know cos(θ) = cos(-θ), so the graph is symmetrical about the x-axis. You can evaluate the function at a few points to find the general outline.

  r at 0° = 8

  r at 30° ≈ 7.05

  r at 45° ≈ 6.19

  r at 60° ≈ 5.33

  r at 90° = 4

  r at 120° = 3.2

  r at 135° ≈ 2.96

  r at 150° ≈ 2.79

  r at 180° ≈ 2.67

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23,000

Step-by-step explanation:

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Solve for x, given the equation Square root of x plus 9 − 4 = 1.
yuradex [85]
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3 0
3 years ago
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Complete the recursive formula of the arithmetic sequence 8, -5, -18, -31,...8,−5,−18,−31,...8, comma, minus, 5, comma, minus, 1
dimaraw [331]

The recursive formula for the arithmetic sequence is given as follows:

  • d(1) = 8.
  • d(n) = d(n - 1) - 13.

<h3>What is an arithmetic sequence?</h3>

In an arithmetic sequence, the difference between consecutive terms is always the same, called common difference d.

The nth term of an arithmetic sequence is given by:

a_n = a_1 + (n - 1)d

In which a_1 is the first term.

The recursive formula for the sequence is given by:

a_n = a_{n-1} + d

In the sequence 8, -5, -18, -31,...8,−5,−18,−31, the first term and the common ratio are given as follows:

a_1 = 8, r = 13

Hence, the recursive sequence is given by:

  • d(1) = 8.
  • d(n) = d(n - 1) - 13.

More can be learned about arithmetic sequences at brainly.com/question/6561461

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3 0
1 year ago
Write the letters of the expressions that are equivalent to the given expression.
Tresset [83]

Answer: A.) 10x + 15

Step-by-step explanation:

You would distribute (multiply) the 5 to the 2x which would then make it 10x and you would distribute (multiply) the 5 to the 3 which would then make it 15. Because the 5 is a positive number the sign stays the same.

Therefore, 10x + 15 is your answer.

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2 years ago
1. A package contains 7 red candies, 4 blue candies, and 3 green candies. Three candies are drawn
erastovalidia [21]

Answer:

the answer i got was 0.214

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