The graph of a limacon curve is given. Determine which equation is correct for the graph.

a circle symmetric to the x axis where the majority of the circle lies in quadrants two and three
[-5, 5] by [-5, 5]

r = 2 - 2 cos θ
r = 3 - 2 cos θ
r = 3 - cos θ
r = 3 - sin θ

The equation r = 3 - cos Ф is correct for the graph ⇒ 3rd answer

Step-by-step explanation:

Equations of the form r = a + b sin Ф, r = a - b sin Ф, r = a + b cos Ф, and r = a - b cos Ф represent limacons

∵ The figure is a circle

- That means a is greater than twice b

∴ a > 2b

∵ The circle is symmetric to the x axis

∵ The majority of the circle lies in quadrants two and three

- That means most of the graph at the negative part of x

∴ The form of the equation is r = a - b cos Ф

Lets look to the answer to find the right one

∵ a > 2b

∴ a = 3 and b = 1 because 3 > 2(1)

∴ The answer is r = 3 - cos Ф

The equation r = 3 - cos Ф is correct for the graph

56.6

step-by-step explanation:

the ratio of the perimeters is equal to the scale.

the ratio of the areas is equal to the square of the scale.

34 / 20 = k

a / 19.6 = k²

substituting:

a / 19.6 = (34 / 20)²

a = 19.6 (34 / 20)²

a ≈ 56.6

the final price would be 29.6925

step-by-step explanation:

39.59 minus 25% equals 29.6925