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ziro4ka [17]
3 years ago
7

(3-5i)(2+9i)+(7+2i)(7-2i)

Mathematics
1 answer:
kondor19780726 [428]3 years ago
7 0
i^{2} = -1

-----------------------------------------

(3-5i)(2+9i)+(7+2i)(7-2i) = \\  \\  =  6 + 27i - 10i - 45i^{2} + 49 - 14i + 14i - 4i^{2} =  \\  \\  =55 + 17i + 45 + 4   = \boxed{104 + 17i}
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0.4 repeating as a fraction for a mixed number
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Answer:

Step-by-step explanation:

1.Rewrite the decimal number as a fraction with 1 in the denominator

2.Multiply to remove 1 decimal places. Here, you multiply top and bottom by 101 = 10

3.Find the Greatest Common Factor (GCF) of 4 and 10, if it exists, and reduce the fraction by dividing both numerator and denominator by GCF = 2,

so the answer is

0.4= 2/5

5 0
2 years ago
A thin piece of wood of uniform density in the shape of an equilateral triangle with side length 3 inches weighs 12 ounces. A se
natta225 [31]
Sorry i dont know the answer but i can help you with your other questions
7 0
2 years ago
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A survey of the students in Lance’s school found that 58% of the respondents want the school year lengthened, while 42% think it
alina1380 [7]
The margin of error of a given statistic is an amount that is allowed for in case of miscalculation or change of circumstances.

It is usually the radius or half of the width of the confidence interval of that statistic.

Given that a<span> survey of the students in Lance’s school found that 58% of the respondents want the school year lengthened, while 42% think it should remain the same. The margin of error of the survey is ±10%.

This means that 58% </span><span>± 10% of the </span>respondents want the school year lengthened, while 42% <span><span>± 10% think it should remain the same.</span>

Thus, from 48% to 68% </span><span><span>of the respondents want the school year lengthened, while from 32% to 52% <span>think it should remain the same.</span> </span>

Therefore, according to the survey data, at least 32% of students want the duration of the school year to remain unchanged, and at least 48% want the school year to be lengthened.</span>
7 0
3 years ago
In a rectangle KLMN, the diagonals KM and LN intersect at O.
elena-s [515]

Answer:

8y°±94°⊂⊂100°

Step-by-step explanation:

7 0
3 years ago
100 POINTS solve the system using linear combination. show all work.{ 5x + 3y = 41 {3x - 6y = 9
PIT_PIT [208]

Answer:

y = 2

x = 7

Explanation:

  • 5x + 3y = 41
  • 3x - 6y = 9

<u>Make the coefficient of "y" in equation 1 same</u>

{ 5x + 3y = 41 } * 2     →  10x + 6y = 82  ........equation 1

                                  →  3x - 6y = 9 ........equation 2

<u>solving them using linear combination</u>

  • 10x + 6y = 82
  • 3x - 6y = 9

     ============

  • 13x = 91
  • x = 7

Find y:

  • 5x + 3y = 41
  • 5(7) + 3y = 41
  • 3y = 41 - 35
  • 3y = 6
  • y = 2
4 0
2 years ago
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