Step-by-step explanation:
45+90+x=180
135+x=180
x=180-135
x=45
By pythagoreans' theorem,
Longer edge
= √(2² + 6²)
= √40
∴ The length of the longer edge is the square root of 40 feet.
Shorter edge
= √(1² + 3²)
= √10
Area = L × B
= √40 × √10
= 20 feet²
The answer for this problem is D
Answer:
Cubic polynomial function with zeros 3,3 and -3 is ![\mathbf{x^3-3x^2-9x+27=0}](https://tex.z-dn.net/?f=%5Cmathbf%7Bx%5E3-3x%5E2-9x%2B27%3D0%7D)
Step-by-step explanation:
We need to find a cubic polynomial function with zeros 3,3 and -3.
If zeros of polynomial are: 3,3,and -3
we can write:
x=3, x=3, x=-3
Or
We can write:
x-3=0, x-3=0, x+3=0
Now, we can write them as:
(x-3)(x-3)(x+3)=0
Multiplying the terms, we can find the polynomial:
![(x-3)(x-3)(x+3)=0\\(x(x-3)-3(x-3))(x+3)=0\\(x^2-3x-3x+9)(x+3)=0\\(x^2-6x+9)(x+3)=0\\x(x^2-6x+9)+3(x^2-6x+9)=0\\x^3-6x^2+9x+3x^2-18x+27=0\\x^3-6x^2+3x^2+9x-18x+27=0\\x^3-3x^2-9x+27=0](https://tex.z-dn.net/?f=%28x-3%29%28x-3%29%28x%2B3%29%3D0%5C%5C%28x%28x-3%29-3%28x-3%29%29%28x%2B3%29%3D0%5C%5C%28x%5E2-3x-3x%2B9%29%28x%2B3%29%3D0%5C%5C%28x%5E2-6x%2B9%29%28x%2B3%29%3D0%5C%5Cx%28x%5E2-6x%2B9%29%2B3%28x%5E2-6x%2B9%29%3D0%5C%5Cx%5E3-6x%5E2%2B9x%2B3x%5E2-18x%2B27%3D0%5C%5Cx%5E3-6x%5E2%2B3x%5E2%2B9x-18x%2B27%3D0%5C%5Cx%5E3-3x%5E2-9x%2B27%3D0)
So, cubic polynomial function with zeros 3,3 and -3 is ![\mathbf{x^3-3x^2-9x+27=0}](https://tex.z-dn.net/?f=%5Cmathbf%7Bx%5E3-3x%5E2-9x%2B27%3D0%7D)