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djverab [1.8K]
3 years ago
7

If i^2 = −1 and x = i + 9, which is the result of squaring x?

Mathematics
1 answer:
Anestetic [448]3 years ago
8 0

Answer:

80 + 18i

Step-by-step explanation:

i² = -1

x = i + 9

x² = (i + 9)²

Applying; (a + b)² = a² + 2ab + b² concept,

x² = i² + 18i + 81

We know that i² = -1

So x² = -1 + 18i + 81

x² = 81 - 1 + 18i = 80 + 18i

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34 &lt; 5x + 9 &lt; 44<br> Inequality
Ksivusya [100]

Answer:

5 < x < 7

Step-by-step explanation:

- Move all terms not containing  x  from the center section of the inequality.

25  <  5 x  <  35

- Divide each term in the inequality by  5 .

5 < 1x < 7

5 < x < 7

i hope this helps :)

5 0
2 years ago
Jim adds 20 to it, then doubles it and gets an answer of 99.2. What was the original number?
riadik2000 [5.3K]

(n+20)*2 = 99.2

distribute

2n + 40 = 99.2

subtract 40 from each side

2n = 59.2

divide each side by 2

n = 29.6

7 0
3 years ago
Which of the following represents a weak positive correlation?a. -0.9b. 0c. +0.2d. +0.9
svetoff [14.1K]

Answer:

Option C) +0.2

Step-by-step explanation:

We are given the following information in the question:

Correlation:

  • Correlation is a technique that help us to find or define a relationship between two variables.
  • It is a measure of linear relationship between two quantities.
  • A positive correlation means that an increase in one quantity leads to an increase in another quantity
  • A negative correlation means with increase in one quantity the other quantity decreases.
  • +1 tells about a a perfect positive linear relationship and −1 indicates a perfect negative linear relationship.
  • Values between 0 and 0.3 tells about a weak positive linear relationship, values between 0.3 and 0.7 shows a moderate positive correlation and a correlation of 0.7 and 1.0 states a strong positive linear relationship.
  • Values between 0 and -0.3 tells about a weak negative linear relationship, values between -0.3 and -0.7 shows a moderate negative correlation and a correlation value of of -0.7 and -1.0 states a strong negative linear relationship.

Thus, a weak positive correlation is given by correlation coefficient of Option C) +0.2

3 0
3 years ago
Two thirds of 12 minus d
fenix001 [56]

Step-by-step explanation:

2 /3 of 12 - d

2/3 * 12 - d

8 - d

7 0
2 years ago
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I am in my kitchen if and only if i am at home 

not 100% right

4 0
2 years ago
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