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).
Answer:
200
Step-by-step explanation:
160/80 is 2. 2 times 100 is 200
We have such equation
1.25x=0.75x+50 /-0.75x (subtract 0.75 both sides)
1.25x-0.75x=0.75x-0.75x+50
0.5x=50 /*2 (multiply both sides times 2)
0.5x*2=50*2
x=100 - its the answer
A) x * y = 42 (or x = 42/y)
B) x + y = 23
B) 42/y + y = 23
42 + y^2 = 23y
y^2 -23y + 42 = 0
The numbers are 21 and 2
X/4-9=5
x/4=14
x=14/4
x=7/2
x=3.5
