Recall the double angle identity:
With 
measuring between 0º and 90º, we know 
. So from the Pythagorean identity, we get
Then
The algebra tiles show two equal factors. They are (x + 4).
Then, the perfect square is the product of the two equal factors, (x + 4) * (x +4).
That is (x + 4)^2.
Then develop that perfect square to find the constant term.
(x + 4)^2 = x^2 + 8x + 16.
That means that the constant term needed to complete the trinomial is 16.
Answer: 16
Sum = ADDITION SO ... 11 + 12 = 23.
<em>86.20 ft²</em>
- Step-by-step explanation:
<em>Hi there !</em>
<em>A = A₁ + A₂</em>
<em>A₁ =semicircle</em>
<em>A₁ = πr²/2</em>
<em>r = d/2 = 6.4ft/2 = 3.2 ft</em>
<em>A₁ = 3.14×(3.2ft)²/2 ≈ 32.15 ft²</em>
<em />
<em>A₂ = trapezium</em>
<em>A₂ = (b + B)×h/2</em>
<em>A₂ = (5.1ft + 6.4ft)×9.4ft/2 = 54.05 ft²</em>
<em />
<em>A = 32.15 ft² + 54.05 ft² = 86.20 ft²</em>
<em>Good luck !</em>
