Answer:
![(x^2 + 4)(x + 2)(x - 2)](https://tex.z-dn.net/?f=%28x%5E2%20%2B%204%29%28x%20%2B%202%29%28x%20-%202%29)
Step-by-step explanation:
Hello!
We can use the difference of square method.
<h2>Difference Of Squares (DOS)</h2>
The formula for the DOS is ![(a + b)(a - b) = a^2 - b^2](https://tex.z-dn.net/?f=%28a%20%2B%20b%29%28a%20-%20b%29%20%3D%20a%5E2%20-%20b%5E2)
It is a simple way to factor polynomials.
The criteria:
- Has to begin and end with a perfect square
- The operation has to be subtraction
<h3>Factor:</h3>
Begins with a perfect square (x² * x²) and ends with a perfect square (4 * 4)
Warning! Watch out, there may be another DOS!
is another DOS
The x² + 4 is not a DOS because the operation is addition.
The final factored form is ![(x^2 + 4)(x + 2)(x - 2)](https://tex.z-dn.net/?f=%28x%5E2%20%2B%204%29%28x%20%2B%202%29%28x%20-%202%29)
Given:
In ΔWXY, x = 680 inches, w = 900 inches and ∠W=157°.
To find:
The all possible values of ∠X, to the nearest degree.
Solution:
Law of Sines:
![\dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}](https://tex.z-dn.net/?f=%5Cdfrac%7Ba%7D%7B%5Csin%20A%7D%3D%5Cdfrac%7Bb%7D%7B%5Csin%20B%7D%3D%5Cdfrac%7Bc%7D%7B%5Csin%20C%7D)
For ΔWXY,
![\dfrac{w}{\sin W}=\dfrac{x}{\sin X}=\dfrac{y}{\sin Y}](https://tex.z-dn.net/?f=%5Cdfrac%7Bw%7D%7B%5Csin%20W%7D%3D%5Cdfrac%7Bx%7D%7B%5Csin%20X%7D%3D%5Cdfrac%7By%7D%7B%5Csin%20Y%7D)
Now,
![\dfrac{w}{\sin W}=\dfrac{x}{\sin X}](https://tex.z-dn.net/?f=%5Cdfrac%7Bw%7D%7B%5Csin%20W%7D%3D%5Cdfrac%7Bx%7D%7B%5Csin%20X%7D)
![\dfrac{900}{\sin (157^\circ)}=\dfrac{680}{\sin X}](https://tex.z-dn.net/?f=%5Cdfrac%7B900%7D%7B%5Csin%20%28157%5E%5Ccirc%29%7D%3D%5Cdfrac%7B680%7D%7B%5Csin%20X%7D)
![900\sin X=680\sin (157^\circ)](https://tex.z-dn.net/?f=900%5Csin%20X%3D680%5Csin%20%28157%5E%5Ccirc%29)
![\sin X=\dfrac{680}{900}\sin (157^\circ)](https://tex.z-dn.net/?f=%5Csin%20X%3D%5Cdfrac%7B680%7D%7B900%7D%5Csin%20%28157%5E%5Ccirc%29)
![\sin X=0.295219](https://tex.z-dn.net/?f=%5Csin%20X%3D0.295219)
![X=\sin^{-1}(0.295219)](https://tex.z-dn.net/?f=X%3D%5Csin%5E%7B-1%7D%280.295219%29)
![X=17.17067](https://tex.z-dn.net/?f=X%3D17.17067)
![X\approx 17](https://tex.z-dn.net/?f=X%5Capprox%2017)
Therefore, the value of ∠X is 17 degrees.
The answer is a facilitator.
A facilitator is a person who facilitates discussions. He/she plays a neutral in any discussion. The facilitator guides the group to attain their objective. He/She can use different tools to help the group achieve their goals.
B= 2000 + CD
98000 = B + CD
substitute b in
98000 = 2000 + CD + CD
add variables
98000 = 2000 + 2CD
subtract 2000 from each side
96000 = 2CD
divide each side by 2
48000 = CD
Answer: A= 1,-5 b=5,-3
Step-by-step explanation: i dont have one