2cos^2theta-3costheta+1=0

Step-by-step explanation:

To answer this question, we can begin by creating factors from this equation:

(2cosθ-1)(cosθ-1)= 0.

Now, we just need to set the factors equivalent to 0 and solve:

2cosθ= 1.

cosθ= 1/2

θ= ,

cosθ= 1

θ= 0, 2.

f(x) = y

f(-3) = -5

step-by-step explanation:

answer is 8x+24

area of vanessa's patio = length × width

given, length = (3x² + 5x + 10)

width = (x² - 3x - 1)

area of vanessa's patio = (3x² + 5x + 10)(x² - 3x - 1)

= 3x²(x² - 3x - 1) + 5x(x² - 3x - 1) + 10(x² - 3x - 1)

= 3x⁴ - 9x³ - 3x² + 5x³ - 15x² - 5x + 10x² - 30x - 10

= 3x⁴ - 4x³ - 8x² - 35x - 10

hence, expression of vanessa's patio = (3x⁴ - 4x³ - 8x² - 35x - 10)