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2 years ago

Match each description when z = 9 + 3i.

Mathematics

2 answers:

VladimirAG [237]2 years ago

7 0

Real part of z = 9
Imaginary Part = 3i
Conjugate of z is 9 - 3i

almond37 [142]2 years ago

7 0

Answer:

Step-by-step explanation:

We are given z = 9 + 3i

It is complex number which has one real and one imaginary part.

z = a + bi

a is real

b is imaginary (coefficient of i)

For given number

9 is real

3 is imaginary

For conjugate , flip the sign of i

a + bi conjugate is a - bi

Therefore, The conjugate of 9 + 3i is 9 - 3i

# Match the following :-

1. Real part of z -9

2. Imaginary part of z 3

3. Complex conjugate of z 9-3i

4. 3i – z 9

5. z-9 -3i

6. 9-z 3i

Please find attachment for correct match.

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Answers:
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(1,3)

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3- total profit was less than $12

This means that:
4x + 2y < 12

We will check the options that satisfy the above inequality:
Option 1: (-1,5):
This option is rejected as we cannot sell -1 hot dog

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4x + 2y = 4(0) + 2(6) = 12
12 is not less than 12
This option is incorrect

Option 3: (2,1):
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10 is less than 12
This option is correct

Option 4: (1,1.5):
This option is incorrect as we cannot sell 1.5 bottle of water

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Option 6: (2,2):
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This option is incorrect

Hope this helps :)

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2 years ago

Read 2 more answers