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joja [24]
2 years ago
15

For i^2 =-1, (3-i)^2 = ? A. 8 B. 10 C. 8-6i D. 8 + 6i E. 10-6i

Mathematics
1 answer:
Anuta_ua [19.1K]2 years ago
8 0
C. 8- 6i
(3- i) to the power of 2 (expand the expression)

9- 6 i + i to the power of 2
calculate

9 - 6i - 1
calculate

8- 6i.

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Simplify the radical
elena-14-01-66 [18.8K]

Answer:

\sqrt{108}  \sqrt{36  \times 3}  \sqrt{36}  \sqrt{3}   \:  \: 6 \sqrt{3}  \:  \:  \:  \sqrt{108}  = 10.392304845413264

8 0
3 years ago
Mrs. Smith's class is working on a variety of science experiments. Each
SVETLANKA909090 [29]

Answer:

66

Step-by-step explanation:

If there are  <em>n</em>  students, then the number of pairs is \frac{n(n-1)}{2}.

With 12 students, \frac{12(12-1)}{2} = \frac{132}{2}=66 pairs can be formed.

The reason the formula works is this:  Each of the 12 students can be paired with 11 other students (no student is paired with him/her self).  But counting 12 x 11 = 132  counts each pair <u>twice</u>.  Example: student A can be paired with student B,..., student B can be paired with student A.  The pair was counted two times.

See the attached image that shows pairings of 5 students.  There are

5(5 - 1)/2 = 5(4)/2 = 10 pairs.

8 0
2 years ago
¿Cuántos litros hay en 25 vasos si cada vaso contiene 0,20 litros?
Norma-Jean [14]
Voy a decir que son 5 litros
4 0
3 years ago
A company has six employees.The salary of five of the employees are P2200,P1300,P800,P940 and P560.When the sixth employee is in
Dafna1 [17]

Answer:

First answer is 1200

Second answer is 900 for each new employee

Step-by-step explanation:

First answer:

2200+1300+800+940+560+x = 7000

5800+x = 7000 subtract 5800 from both sides and you get your answer

x = 1200

Second answer:

x = 900.  Each of the two employees made 900 a month or 1800 a month for both of them.

To find the average we take the total salaries and divide by the number of people to find the average salary.  In this case, we know the average and we know all of the salaries, but two.  We can figure this out.

(7000 + 2x)/8 = 1100  multiple both sides by 8 to clear the fraction/

7000 +2x = 8800  Subtract both sides by 7000

2x = 1800  Divide both sides by 2

x = 900

3 0
1 year ago
7th grade math help meee plzzzz
ale4655 [162]

Answer:

-18.4 + 35.4

Step-by-step explanation:

Use the method keep; change; flip.

Keep the negative -18.4

Change the minus sign to a plus sign

Flip the -35.4 to a positive 35.4

Even though the equations are different the answer is still the same.

Hope this helps!

8 0
3 years ago
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