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2 years ago

What is the value of 6i/1+i? 2 – 6i 2 + 6i 3 – 3i 3 + 3i

Mathematics

2 answers:

mihalych1998 [28]2 years ago

6 0

6i/ (1+i)

multiply by the complex conjugate (1-i)/(1-i)

6i/(1+i) * (1-i)/(1-i)

6i* (1-i) = 6i - 6i^2 = 6i - 6(-1) = 6i +6

(1+i)*(1-i)= 1-i +i -i^2 = 1 -i+i -(-1) = 1+1=2

(6+6i)/2

3+3i

Answer: 3+3i

alekssr [168]2 years ago

3 0

Answer:

D. 3+3i

Step-by-step explanation:

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at the game, mrs. burns spent $45 for 4 soft pretzels, 3 bags of peanuts, and 8 bottles of water for snacks for the family. a bo

Irina18 [472]

Answer:

The correct statements are A. The cost of a bottle of water is p – 0.75, C. The cost of a soft pretzel is $3.25. and D. The cost of a bag of peanuts is $4.00.

Step-by-step explanation:

1. This is the information given to solve the case:

Amount spent by Mrs. Burns at the game = US$ 45

Detailed purchase done by Mrs. Burns = 4 soft pretzels, 3 bags of peanuts and 8 bottles of water.

Price of soft pretzel = p

Price of bag of peanuts = p + US$ 0.75

Price of bottle of water = p - US$ 0.75

2. This is the equation for solving the case:

4p + 3(p + 0.75) + 8(p - 0.75) = 45

4p + 3p + 2.25 + 8p - 6 = 45

4p + 3p + 8p = 45 + 6 - 2.25

15p = 48.75

p = 3.25

The price of a soft pretzel is US$ 3.25, of a bag of peanuts is US$ 4 (3.25 + 0.75) and of a bottle of water is US$ 2.50 (3.25 - 0.75).

3. Now, we have all the information necessary to analyze the statements.

A. The cost of a bottle of water is p – 0.75. It's correct.

B. The equation that represents this scenario is (p – 0.75) + (p – 0.75) + p = 45. It's false.

C. The cost of a soft pretzel is $3.25. It's correct.

D. The cost of a bag of peanuts is $4.00. It's correct.

E. The cost of 8 bottles of water is $26.00. It's false. (8 * 2.50 = 20)

The correct statements are A. The cost of a bottle of water is p – 0.75, C. The cost of a soft pretzel is $3.25. and D. The cost of a bag of peanuts is $4.00.

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Answer:

Step-by-step explanation:

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1 year ago

If sin(x) = 1/3 and sec(y) = 25/24 , where x and y lie between 0 and π/2, evaluate the expression using trigonometric identities

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White raven [17]

Answer:

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Step-by-step explanation:

Pick any two decimal numbers. The third one will be the difference between 10.806 and the sum of the two numbers you picked.

For example, choose 938.2 and 3.0055. Their sum is 941.2055. Then the third number that will make the sum be 10.806 is ...

10.806 -941.2055 = -930.3995

So, your three numbers could be ...

{938.2, 3.0055, -930.3995}

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