To solve the problem you must know that to change from Cartesian to polar coordinates you must write:
x = rcos (θ)
Where "r" is the radius
Likewise y = rsin (θ)
Therefore, in the expression r = 3cos (θ) one can write r as:
r = x / cos (θ)
So:
x / cos (θ) = 3cos (θ)
x = 3cos ^ 2 (θ)
The same for y ...
y = rsin (θ)
y = 3cos (θ) sin (θ).
Finally the correct answer is option 2.
x = 3cos ^ 2 (θ) y = 3cos (θ) sin (θ).
Prime factorization means finding the prime numbers that you can multiply to make a certain number.
So, he prime factorization of 36 would be 2 x 2 x 3 x 3 or 2, 2, 3, and 3.
Just to make sure: 2 x 2 = 4 4 x 3 = 12 12 x 3 = 36
There's your answer!
C' ( 4, -2 )
this is the explanation sort of
c ( -2, -3 ), since it is translated six units to the right, add 6 to the x-coordinate and since it is translated one unit up, add 1 to the y-coordinate
