Answer:
1 6/7 and 1 6/17
Step-by-step explanation:
<h2>
Hello!</h2>
The answer is:
- The first operation match with the polynomial:
B. ![9x^{2} -2x+2](https://tex.z-dn.net/?f=9x%5E%7B2%7D%20-2x%2B2)
- The second operation match with the polynomial:
A. ![-9x^{2}-2x+7](https://tex.z-dn.net/?f=-9x%5E%7B2%7D-2x%2B7)
- The third operation match with the polynomial:
C. ![9x^{2} +2x-7](https://tex.z-dn.net/?f=9x%5E%7B2%7D%20%2B2x-7)
<h2>Why?</h2>
In order to solve the given operations, we need to group the like terms.
Remember, like terms are terms that share the same variable and the same exponent.
For example:
![x^{2} +2x^{2} +3x^{3} +2=3x^{2} +3x^{3} +2](https://tex.z-dn.net/?f=x%5E%7B2%7D%20%2B2x%5E%7B2%7D%20%2B3x%5E%7B3%7D%20%2B2%3D3x%5E%7B2%7D%20%2B3x%5E%7B3%7D%20%2B2)
We only operate with the variables that shares the same exponent.
Also, we need to remember the distributive property:
![(a+b)(c+d)=ac+ad+bc+bd](https://tex.z-dn.net/?f=%28a%2Bb%29%28c%2Bd%29%3Dac%2Bad%2Bbc%2Bbd)
So, we are given the following polynomials:
![A.9x^{2} -2x+7\\\\B. 9x^{2} -2x+2\\\\C. 9x^{2} +2x-7](https://tex.z-dn.net/?f=A.9x%5E%7B2%7D%20-2x%2B7%5C%5C%5C%5CB.%209x%5E%7B2%7D%20-2x%2B2%5C%5C%5C%5CC.%209x%5E%7B2%7D%20%2B2x-7)
And we need to perform the following operations:
First operation,
![(7x^{2}-5x+3)+(2x^{2} +3x-1)=7x^{2} +2x^{2} -5x+3x+3-1\\\\7x^{2} +2x^{2} -5x+3x+3-1=9x^{2} -2x+2](https://tex.z-dn.net/?f=%287x%5E%7B2%7D-5x%2B3%29%2B%282x%5E%7B2%7D%20%2B3x-1%29%3D7x%5E%7B2%7D%20%2B2x%5E%7B2%7D%20-5x%2B3x%2B3-1%5C%5C%5C%5C7x%5E%7B2%7D%20%2B2x%5E%7B2%7D%20-5x%2B3x%2B3-1%3D9x%5E%7B2%7D%20-2x%2B2)
So, the first operation match with the polynomial:
B. ![9x^{2} -2x+2](https://tex.z-dn.net/?f=9x%5E%7B2%7D%20-2x%2B2)
Second operation,
![(3x^{2}-4x-4)+(-12x^{2}+2x+11)=3x^{2} -12x^{2} -4x+2x-4+11\\\\3x^{2} -12x^{2} -4x+2x-4+11=-9x^{2}-2x+7](https://tex.z-dn.net/?f=%283x%5E%7B2%7D-4x-4%29%2B%28-12x%5E%7B2%7D%2B2x%2B11%29%3D3x%5E%7B2%7D%20-12x%5E%7B2%7D%20-4x%2B2x-4%2B11%5C%5C%5C%5C3x%5E%7B2%7D%20-12x%5E%7B2%7D%20-4x%2B2x-4%2B11%3D-9x%5E%7B2%7D-2x%2B7)
So, the second operation match with the polynomial:
A. ![-9x^{2}-2x+7](https://tex.z-dn.net/?f=-9x%5E%7B2%7D-2x%2B7)
Third operation,
![(4x^{2} -3x-9)+(5x^{2} +5x+2)=4x^{2}+5x^{2} -3x+5x-9+2\\\\4x^{2}+5x^{2} -3x+5x-9+2=9x^{2} +2x-7](https://tex.z-dn.net/?f=%284x%5E%7B2%7D%20-3x-9%29%2B%285x%5E%7B2%7D%20%2B5x%2B2%29%3D4x%5E%7B2%7D%2B5x%5E%7B2%7D%20-3x%2B5x-9%2B2%5C%5C%5C%5C4x%5E%7B2%7D%2B5x%5E%7B2%7D%20-3x%2B5x-9%2B2%3D9x%5E%7B2%7D%20%2B2x-7)
So, the second operation match with the polynomial:
C. ![9x^{2} +2x-7](https://tex.z-dn.net/?f=%3C%2Fstrong%3E9x%5E%7B2%7D%20%2B2x-7%3Cstrong%3E)
Have a nice day!
129 degrees is the correct answer for the missing angle number 1 :)
0.1 milligrams is 0.0001 grams, so the mass should be recorded to the same accuracy,
5.0000 grams or 5000.0 milligrams
Five significant figures.
Answer:
C
Step-by-step explanation: