Determine which equation is belongs to the graph of the limacon curve below.
[-5,5] by [-5,5]
a.
r = 4 + cos(theta)
c.
r = 3 + 2 cos(theta)
b.
r = 2 + 3 cos(theta)
d.
r = 2 + 2 cos(theta)

Please select the best answer from the choices provided

A
B
C
D

  c.  r = 3 + 2 cos(theta)

Step-by-step explanation:

At θ = 180°, the value of r is positive, but just a fraction of the value at θ = 0°. This eliminates choices 'b' and 'd'.

Choice 'a' would give r=3 and r=5 for those two cases, but the ratio of left extent to right extent looks smaller than 3/5. A graph of choice 'c' shows it matches the given figure.

$53.50

step-by-step explanation:

you have to subtract the amount of money chuck earned ($72.50) by the cost of the gas for the mower ($11.25) and the new string for the trimmer he bought ($7.75).

72.50-11.25=61.25

and then subtract $61.25 by the second thing he bought (the new string for the trimmer)

61.25-7.75=53.5

so in total it's $53.50 (53 dollars and 50 cents)

b) k’(6, 4); l’(3, 3)

step-by-step explanation:

a 270° clockwise rotation maps every point (x, y) to (y, -x). (it negates the x-coordinate and then switches it and the y-coordinate.)

this means the endpoints of the side congruent to kl, k' and l', would be mapped as:

k'(-4, 6)→(6, 4)

l'(-3, 3)→(3, 3)