Hello :
<span>the opposite is : -6
</span><span>the absolute value is : 6</span>
<em>The question is not clearly readable, but I'm assuming the expression which makes more sense, so you can have a clue</em>
Answer:
Step-by-step explanation:
<u>Powers of The Imaginary Unit</u>
The imaginary unit i is defined as
The first powers of i are
And so on the cycle repeats every four numbers. To find the value of we can find the remainder of 96/4=0. So
The given expression is
Factoring
Since
The required value is 0
Answer:
Avoid Using too many statistics
Step-by-step explanation:
when a speaker is giving a speech, the listeners prefer main points to hearing too much of statistics. Too many statistics bore the audience and sometimes divert their attentions from the crux of the speech. If statistics are to be given, they must be clearly expressed and the source should be clearly stated.
Numbers that are of large decimal points can be rounded off so as not to confuse the audience and to make them grasp the main idea.
Answer:
y = 3x + 2
y = 6x – 3
y = 2/3x + 6
y = –1/3x – 4
y = 2x + 1
Correct answer:
y = 3x + 2
Explanation:
Convert the equation to slope intercept form to get y = –1/3x + 2. The old slope is –1/3 and the new slope is 3. Perpendicular slopes must be opposite reciprocals of each other: m1 * m2 = –1
With the new slope, use the slope intercept form and the point to calculate the intercept: y = mx + b or 5 = 3(1) + b, so b = 2
So y = 3x + 2
The purpose of the grid is to help you record possible and impossible combinations. The repeat of the headings 1st, 2nd, 3rd, 4th helps you compare to both shirt color and name.
Each given statement has certain implications. You are expected to be able to determine as many of those as you can, and mark the grid accordingly.
The first statement says two girls slide down before two other girls. This means the first two girls listed cannot be 3rd or 4th in line, and the last two girls listed cannot be 1st or 2nd in line. It also means that none of the named girls is wearing the blue shirt (so Madeline must be wearing it). These implications are marked in the attachment with X and a circled 1, to indicate to you that the first statement was where we got the X. The X is used to signify an impossible combination.
The second statement tells you the purple shirt will not be 3rd or 4th in line, since at least two girls are after it. It tells you that Alexis is not wearing purple or yellow (so must be wearing white), and it tells you that Alexis and the yellow shirt are not first in line. (We alread knew that about Alexis.)
The third statement lets you finish the problem. We just found that Alexis is wearing the white shirt, so it tells you Madeline is 2nd in line and Alexis is 3rd. (Alexis is 3rd or 4th, but so is Lauren. The only way Madeline can be next to Alexis is for Madeline to be 2nd and Alexis 3rd.) The check marks labeled with a circled 3 are the conclusions we drew from statement 3.
Since the yellow shirt is not first, Lauren must be wearing it 4th in line.
The final conclusion is ...
- Hanna, purple
- Madeline, blue
- Alexis, white
- Lauren, yellow
Once you have identified a combination, it can help to mark off the others in that row and column (of the group of 4 rows and columns) as being impossible. This can narrow the choices for the others. I didn't do that here because it makes the diagram busier and the sequence of marks less clear.
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It is a good idea to check your final answer with the original problem statements to make sure the answer is consistent with them.