The common demoninator of 10 can be 6. 11 is 12 and 12 is just five.
Answer:
I've pretty much already solved this, in my discussion above:
| 3 | = 3
| –3 | = 3
So then x must be equal to 3 or equal to –3.
But how am I supposed to solve this if I don't already know the answer? I will use the positive / negative property of the absolute value to split the equation into two cases, and I will use the fact that the "minus" sign in the negative case indicates "the opposite sign", not "a negative number".
For example, if I have x = –6, then "–x " indicates "the opposite of x" or, in this case, –(–6) = +6, a positive number. The "minus" sign in "–x" just indicates that I am changing the sign on x. It does not indicate a negative number. This distinction is crucial!
Whatever the value of x might be, taking the absolute value of x makes it positive. Since x might originally have been positive and might originally have been negative, I must acknowledge this fact when I remove the absolute-value bars. I do this by splitting the equation into two cases. For this exercise, these cases are as follows:
a. If the value of x was non-negative (that is, if it was positive or zero) to start with, then I can bring that value out of the absolute-value bars without changing its sign, giving me the equation x = 3.
b. If the value of x was negative to start with, then I can bring that value out of the absolute-value bars by changing the sign on x, giving me the equation –x = 3, which solves as x = –3.
Then my solution
Correct answer:
5/64
Step-by-step explanation:
- Multiply the numerators: 10 × 2 = 20
- 16 × 16 = 256
- Put them together: 20/256
- Simplify: 20/256 = 5/64
I hope this helps!
Answer:
21 emperor penguins
Step-by-step explanation:
1. Convert 35% to decimal form
0.35
2. Multiply 0.35 by 60
21
3. The answer is 21
Answer:
Step-by-step explanation:
To add the polynomials
Remove parentheses:
Group like terms:
Add similar elements:
The Standard Form for writing down a polynomial is to put the terms with the highest degree first,its term of 2nd highest is 2nd etc..
In our case the standard form is
