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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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doing all 4 would help but you don't have to do all of them 2 or one is fine with me. but no fake answers
Oduvanchick [21]

Answer:

the picture is kinda blur but nvm

Step-by-step explanation:

3:b

4:b

5:a

6:b

4 0
3 years ago
Find the inverse of: f(x)=3x-8
Crazy boy [7]
The answer is f^-1(x)=8/3+x/3
8 0
4 years ago
Determine whether abc ----> jgh is a reflection, translation, rotation, or glide reflection.
Usimov [2.4K]
From this picture you can calculate coordinates of triangles' vertices:
A(-9,0),\ B(-6,-4),\ C(-3,0),\ J(8,0),\ G(5,4),\ H(2,0).

Since 

\frac{-9+8}{2} = \frac{-6+5}{2}= \frac{-3+2}{2}=- \frac{1}{2} \frac{0+0}{2}= \frac{-4+4}{2} = \frac{0+0}{2} =0 

you can conclude that points A, B, C are rotated by 180^0 about the point (-0.5,0) to form points J, G, H, respectively.

Answer: A is correct choice.
3 0
3 years ago
36 percent of what is 99
mariarad [96]

Let the number be x,

(x*36)/100 = 99

x*36 = 9900

x= 9900/36

x=275


6 0
4 years ago
Consider the function: f(x) = 2x^2 - 1.5x - 5 and its graph.
Dominik [7]

Answer:

f(x) = -4x² + 19x - 18

Step-by-step explanation:

f(x) = 2x^2 - 1.5x - 5

i) If it is translated 2 units in the positive x direction, therefore we use f(x-2)

y=f(x-2) = 2(x-2)^2 - 1.5(x-2) - 5\\y = 2(x^2-4x+4) - 1.5x+3 - 5\\y=2x^2-8x+8-1.5x+3-5\\y=2x^2-9.5x+6

f(x) = 2x² - 9.5x + 6

If it is then translated 3 units in the positive y, we add 3 to the input function to get:

y=f(x)+3=2x^2-9.5x+6+3\\y = 2x^2-9.5x+9

ii) stretched vertically by a factor of 2, we multiply the function by 2 to get:

y =2( 2x^2-9.5x+9) = 4x^2-19x+18\\y= 4x^2-19x+18

iii) reflected across the x-axis

we multiply the parent function by –1, to get a reflection about the x-axis.

y= -1(4x^2-19x+18)=-4x^2+19x-18\\y=f(x)=-4x^2+19x-18

5 0
3 years ago
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