Answer:
Questions 3
X+100+130=360
X+230=360
X=360-230
X=130
Step-by-step explanation:
a+b+c=180
50+50+50=180
150=180
a+b+c=180-150
=30
Answer: 12
Step-by-step explanation:
21 divided by 10.5 is 2, so you would do 24 divided by 2 to get 12.
2 is the scale factor.
Answer:
Step-by-step explanation:
The multiplicative inverse of a complex number y is the complex number z such that (y)(z) = 1
So for this problem we need to find a number z such that
(3 - 2i) ( z ) = 1
If we take z = 
We have that
would be the multiplicative inverse of 3 - 2i
But remember that 2i = √-2 so we can rationalize the denominator of this complex number
Thus, the multiplicative inverse would be
The problem asks us to verify this by multiplying both numbers to see that the answer is 1:
Let's multiplicate this number by 3 - 2i to confirm:
Thus, the number we found is indeed the multiplicative inverse of 3 - 2i
The 5 in the hundredths place represents 5/100, whereas the 5 in the tens place represents 50, Figure out how 5/100 and 50 are related to each other: (5/100)x = 50. Mult. both sides by 100, we get 5x = 5000. Thus, the 5 in the tens place is 1000 times the 5 in the hundreths place.
Answer:
- The additive inverse of −3 is +3, so 16 − (−3) = 19
- negative 6 over 8 minus negative 1 over 8 = negative 5 over 8; therefore, the distance from A to B is absolute value of negative 5 over 8 equals negative 5 over 8 units
- Because it is 3 units to the left of 2 on a horizontal number line
Step-by-step explanation:
The answers <em>are</em> the explanation.
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<em>Comment on the second question</em>
Note that the second question asks for the distance from -6/8 to -1/8. Ordinarily, the distance from A to B would be computed as B - A. In this set of answer choices, it is computed as |A - B|. In the end, the result is the same.
Personally, I would compute the distance between points on a number line by subtracting the left point from the right point. Here, that would also correspond to B - A.
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<em>Comment on choosing 'word' answers</em>
In a set of answers like these, one way to choose answers is simply to eliminate the ones that make a false statement. Often, you are left with only the correct answer choice.
For example, the statement "the additive inverse of -3 is -3" is a false statement, so the first two answer choices can be eliminated. Likewise, the statement 16 -(-3) = 13 is false, so that choice can be eliminated. The one remaining answer is the correct one.
