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Bingel [31]
3 years ago
15

When you multiply a pair of conjugates you get a real number

Mathematics
1 answer:
marusya05 [52]3 years ago
4 0

Answer: The complex conjugate has a very special property. Consider what happens when we multiply a complex number by its complex conjugate. We find that the answer is a purely real number  it has no imaginary part. This always happens when a complex number is multiplied by its conjugate the result is real number.

Real numbers can be positive or negative, and include the number zero. They are called real numbers because they are not imaginary, which is a different system of numbers

Step-by-step explanation: Every complex number has a complex conjugate. The complex conjugate of a + bi is a - bi. For example, the conjugate of 3 + 15i is 3 - 15i, and the conjugate of 5 - 6i is 5 + 6i.

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Spiral Review
Svetllana [295]

Answer:

Your answer is C

Step-by-step explanation:

0.5 = Five tenths

and

0.05 = five hundredths

This is because 0.5 is like 50 cents and 0.05 is like 5 cents

The rest are wrong because A: 0.05 simply can't be bigger than 0.5

B is wrong because they aren't equal to each other

and D is wrong because 0.05 + 0.5 = 0.55

  • (\) QueTooOfficial (/)
3 0
3 years ago
Read 2 more answers
i kind of know its C need 2nd opinion A tire manufacturer took a random sample of 50 tires and found that 3 were defective. In a
den301095 [7]

It's kind of not C.

Solve this proportion for 'x':

                                    3/50 = x/2400

Hint: Cross-multiply the proportion, then do what you need to do.

6 0
3 years ago
Help.....................
eduard

Answer:

Answers in Explanation

Step-by-step explanation:

First Question:

\sqrt{100} + [18 ÷ 3 x 4 - 15] - (60 - 7^2 - 1)

\sqrt{100} + [24 - 15]  - (60 - 49 - 1)

\sqrt{100} + 9 - 10

10 + 9 - 10

<u>Answer = 9</u>

Second Question:

5x + 2x = 7x

5x^2 + 3x^2 = 8x^2

2x + 3x - x = 4x

2x + 3y + x + y = 3x + 4y

9x - 6x = 3x

-7y + 3x + 4x + 3y = 7x - 4y

-7x^2 + 2x^2 + 9x^2 = 8x^2

(3x^2 + 5x + 4) - (-1 + x^2) = 2x^2 + 5x + 5

(3 + 2x - x^2) + (x^2 + 8x + 5) = 10x + 8

(3x - 4) - (5x + 2) = -2x - 6

(2x^2 + 5x + 3) - (x^2 - 2x + 3) = x^2 + 7x

(3x^2 + 2x - 5) - (2x^2 - x - 4) = x^2 + 3x - 1

Third Question:

17x + 2y

(5x + 12y) + (3x + y) = 8x + 13y

17x - 8x = 9x

2y - 13y = -11y

Answer: 9x - 11y

7 0
3 years ago
Pls, help anyone- it's due tomorrow!
harina [27]

Answer: 65.94

Step-by-step explanation:

Find the area of the middle circle.

3.14 x 2² = 12.56

Pretend the white area doesn't exist and find the area of the shaded region.

3.14 x 5² = 78.5

Then subtract.

78.5 - 12.56 = 65.94

6 0
2 years ago
Which is the graph of the function f(x) = x2 + 2x – 6? Mark this and return
valina [46]
Vertex: ( -1, -7 )

Focus: ( -1, -27/4 )

Axis of Symmetry: x = -1

Directrix: y = -29/4


X | Y
———
-3| -3
-2| -6
-1 | -7
0 | -6
1 | -3

6 0
3 years ago
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