Answer:
39 inches.
858 inches²
Step-by-step explanation:
Length:- (if length = x)
2 ( 11 + x ) = 100
22 + 2x = 100
2x = 100 - 22
2x = 78
x = 78 ÷ 2
x = 39 inches
Area:-
Area = l × b
= 39 × 22
= 858 inches²
Answer:
Step-by-step explanation:
x=3
A trapezoid has two parallel sides, but the top one is shorter than the bottom one
Answer:
f(x) = 8x⁴-8x²+1
Step-by-step explanation:
I will assume that f(cos θ) = cos(4θ). Otherwise, f would not be a polynomial. lets divide cos(4θ) in an expression depending on cos(θ). We use this properties
- cos(2a) = cos²(a) - sin²(b)
- sin(2a) = 2sin(a)cos(a)
- sin²(a) = 1-cos²(a)
cos(4θ) = cos(2 * (2θ) ) = cos²(2θ) - sin²(2θ) = [ cos²(θ)-sin²(θ) ]² - [2cos(θ)sin(θ)]² = [cos²(θ) - ( 1 - cos²(θ) ) ]² - 4cos²(θ)sin²(θ) = [2cos²(θ)-1]² - 4cos²(θ) (1 - cos²(θ) ) = 4 cos⁴(θ) - 4 cos²(θ) + 1 - 4 cos²(θ) + 4 cos⁴(θ) = 8cos⁴(θ) - 8 cos²(θ) + 1
Thus f(cos(θ)) = 8 cos⁴(θ) - 8 cos²(θ) + 1, and, as a result
f(x) = 8x⁴-8x²+1.
Your answer: q=1.
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Steps:
1.) Add q to both sides. (11 + q = 12 - q + q.)
2.) Simplify. (11 + q = 12.)
3.) Subtract 11 from both sides. (11 + q - 11 = 12 - 11.)
4.) Simplify again. (q = 1.)
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Hope this helped :)
