Answer:
5
Step-by-step explanation:
n + m -2(m-m)
Combine like terms
n+m+2(0)
n+m
Let m=3 and n=2
2+3
5
It is 4009.738/!;7 corrects
Answer:
-51 (no options are matching)
Step-by-step explanation:
Given: (–2)2 + (–42) + (18 – 23).
we know, 2*2 = 4, and in integer multiplication if any negative integer is multiplied with positive integer, then the result will have a negative sign.
= -4 + (-42) + (18 – 23)
Here, we have open the brackets, and written the respective signs with the integers,
= - 4 - 42 - 5
now, we will perform the integer addition. Adding all the positives together & he negative numbers together
= -51
PS: It happens to be that none of the given options match with the correct answer. But, i have solved taking the expression, i hope it helps
Answer:
There are no solutions.
Step-by-step explanation:
First simplify the equation.
<u>6(x - 2)</u> = 8 + 6x
Distribute.
6x - 12 = 8 + 6x
Adding 8 to a number and subtracting 12 from the same number to get the same answer doesn't make sense so there are no solutions.
Answer:
![3+ 2\mathbf{i}](https://tex.z-dn.net/?f=3%2B%202%5Cmathbf%7Bi%7D)
![3- 2\mathbf{i}](https://tex.z-dn.net/?f=3-%202%5Cmathbf%7Bi%7D)
Step-by-step explanation:
<u>Quadratic Equation Solving</u>
We have the equation:
![8x^2-48x=-104](https://tex.z-dn.net/?f=8x%5E2-48x%3D-104)
Divide by 8:
![x^2-6x=-13](https://tex.z-dn.net/?f=x%5E2-6x%3D-13)
Now complete the squares so the left side is a perfect square of a binomial:
![x^2-6x+9=-13+9=-4](https://tex.z-dn.net/?f=x%5E2-6x%2B9%3D-13%2B9%3D-4)
Factoring the perfect square:
![(x-3)^2=-4](https://tex.z-dn.net/?f=%28x-3%29%5E2%3D-4)
Taking the square root:
![x-3=\sqrt{-4}](https://tex.z-dn.net/?f=x-3%3D%5Csqrt%7B-4%7D)
The square root of a negative number is an imaginary number:
![x-3=\pm 2\mathbf{i}](https://tex.z-dn.net/?f=x-3%3D%5Cpm%202%5Cmathbf%7Bi%7D)
Solving for x:
![x=3\pm 2\mathbf{i}](https://tex.z-dn.net/?f=x%3D3%5Cpm%202%5Cmathbf%7Bi%7D)
The solutions are:
![3+ 2\mathbf{i}](https://tex.z-dn.net/?f=3%2B%202%5Cmathbf%7Bi%7D)
![3- 2\mathbf{i}](https://tex.z-dn.net/?f=3-%202%5Cmathbf%7Bi%7D)