Prime Factors of 504: 2, 3, 7
23 × 32 × 71 where 2, 3, 7 are prime.
so you can not make the number smaller or reduce the fraction
ex.u can not simplify 11 over 12 because 11 is a prime number
Answer:
40
Step-by-step explanation:
12 is 30% of 40
30% x X = 12 or 30/100 x = 12
so if you multiply both sides by 100 and divide both sides by 30
we get X = 12 x 100/30
= 40
(BTW if you want to use a calculator just put 12×100÷30 which will give you the answer)
Answer:
For x(θ) = 3cosθ + 2
y² = [9x²/(x - 2)²] - x²
For x(θ) = 3cosθ + 2
x² = [4y²/(y - 1)²] - y²
Step-by-step explanation:
Given the following equivalence:
x² + y² = r²
r = √(x² + y²)
x = rcosθ
cosθ = x/r
y = rsinθ
sinθ = y/r
Applying these to the given equations,
x(θ) = 3cosθ + 2
x = 3(x/r) + 2
xr = 3x + 2r
(x - 2)r = 3x
r = 3x/(x - 2)
Square both sides
r² = 9x²/(x - 2)²
(x - 2)²r² = 9x²
(x - 2)²(x² + y²) = 9x²
(x² + y²) = 9x²/(x - 2)²
y² = [9x²/(x - 2)²] - x²
y(θ) = 2sinθ - 1
y = 2y/r - 1
yr = 2y - r
(y - 1)r = 2y
r = 2y/(y - 1)
Square both sides
r² = 4y²/(y - 1)²
x² + y² = 4y²/(y - 1)²
x² = [4y²/(y - 1)²] - y²
