Answer:
Step-by-step explanation:
1) (y - 1)²
1. y*y =y²
2. 2(y)(-1)= -2y
3 . (1)(1) = 1
(y-1)² = y² - 2y + 1
2) (6y + 3)²
1. (6y)(6y) = 36y²
2. (2)(6y)(3)=36y
3. (3)(3) = 9
(6y + 3)² = 36y² + 36y + 9
3) (4x - y)²
1. (4x)(4x) = 16x²
2. (2)(4x)(-y) = -8xy
3. (y)(y) = y²
(4x -y)² = 16x² - 8xy + y²
4) (y - 12)²
1.(y)(y) = y²
2. (2)(y)(-12) = -24y
3. (12)(12) = 144
(y - 12)² = y² - 24y + 144
![(x + \dfrac{1}{3})^{2}\\\\ 1. (x)(x) =x^{2}\\\\ 2. (2)(x)(\dfrac{1}{3})=\dfrac{2}{3}x\\\\\\ 3. (\dfrac{1}{3})(\dfrac{1}{3})=\dfrac{1}{9}\\\\\\(x +\dfrac{1}{3})^{2}=x^{2}+\dfrac{2}{3}x+\dfrac{1}{9}](https://tex.z-dn.net/?f=%28x%20%2B%20%5Cdfrac%7B1%7D%7B3%7D%29%5E%7B2%7D%5C%5C%5C%5C%201.%20%28x%29%28x%29%20%3Dx%5E%7B2%7D%5C%5C%5C%5C%20%202.%20%282%29%28x%29%28%5Cdfrac%7B1%7D%7B3%7D%29%3D%5Cdfrac%7B2%7D%7B3%7Dx%5C%5C%5C%5C%5C%5C%20%20%203.%20%20%28%5Cdfrac%7B1%7D%7B3%7D%29%28%5Cdfrac%7B1%7D%7B3%7D%29%3D%5Cdfrac%7B1%7D%7B9%7D%5C%5C%5C%5C%5C%5C%28x%20%2B%5Cdfrac%7B1%7D%7B3%7D%29%5E%7B2%7D%3Dx%5E%7B2%7D%2B%5Cdfrac%7B2%7D%7B3%7Dx%2B%5Cdfrac%7B1%7D%7B9%7D)
6) (ab +c)²
1.(ab)(ab) = a²b²
2. (2)(ab)(c)=2abc
3. (c)(c)=c²
(ab+c)² = a²b² + 2abc + c²
Answer:
<em>$ 30.25</em>
Step-by-step explanation:
Consider adding these winning values, in addition to the number of tickets for each as well;
![Total Money That Could Be Won - 430 + 80 + 40 = 550 Dollars,\\Number of Tickets Corresponding To Money Won - 1 + 4 + 6 = 11 Tickets,\\\\Total Tickets - 200 Tickets,\\\\Probability Of Winning - 11 / 200 = 0.055,\\Proportionality - 0.055 = x / 550,\\\\0.055 = x / 550,\\x = 0.055 * 550,\\x = 30.25 Dollars\\\\Conclusion ; x = 30.25](https://tex.z-dn.net/?f=Total%20Money%20That%20Could%20Be%20Won%20-%20430%20%2B%2080%20%2B%2040%20%3D%20550%20Dollars%2C%5C%5CNumber%20of%20Tickets%20Corresponding%20To%20Money%20Won%20-%201%20%2B%204%20%2B%206%20%3D%2011%20Tickets%2C%5C%5C%5C%5CTotal%20Tickets%20-%20200%20Tickets%2C%5C%5C%5C%5CProbability%20Of%20Winning%20-%2011%20%2F%20200%20%3D%200.055%2C%5C%5CProportionality%20-%200.055%20%3D%20x%20%2F%20550%2C%5C%5C%5C%5C0.055%20%3D%20x%20%2F%20550%2C%5C%5Cx%20%3D%200.055%20%2A%20550%2C%5C%5Cx%20%3D%2030.25%20Dollars%5C%5C%5C%5CConclusion%20%3B%20x%20%3D%2030.25)
<em>Solution ; " Expected Payoff " = 30.25 Dollars</em>
The answer would be b, hope it helps!
Answer:
The area of the regular nonagon is 7921.8 square inches.
Step-by-step explanation:
Geometrically speaking, the area of a regular polygon is determined by following area formula:
(1)
Where:
- Area of the regular polygon, in square inches.
- Perimeter, in inches.
- Apothem, in inches.
If we know that
and
, then the area of the regular nonagon is:
![A = 7921.8\,in^{2}](https://tex.z-dn.net/?f=A%20%3D%207921.8%5C%2Cin%5E%7B2%7D)
The area of the regular nonagon is 7921.8 square inches.
The answer to this question is 6