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zysi [14]
2 years ago
12

Perform the indicated operation & simplify. Express the answer as a complex number. ( 6 − 7 i ) ( − 8 + 3 i ) =___

Mathematics
1 answer:
slega [8]2 years ago
6 0

( 6 − 7 i ) ( − 8 + 3 i )

First FOIL:

( 6 − 7 i ) ( − 8 + 3 i )  = -48 + 18i + 56i -21i^2

Combine like terms

                                 = -48 + 74i -21i^2

Convert i^2 = -1

                                 = -48 + 74i -21(-1)

And simplify

                                 = -48 + 74i + 21

                                 = -27 + 74i

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Agatha is five times older than her son bob. three years ago she was nine times older. how old is agatha?
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"Agatha is five times older than her son, Bob" could be written as:
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"Three years ago, she was nine times older" could be written as:
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Solve the equation system
To find the value of b, substitute 5b as a to the second equation
a - 3 = 9(b - 3)
5b - 3 = 9(b - 3)
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-4b = -24
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Her son, Bob, is 6 years old

To find Agatha's age, substitute the value of b to the first equation
a = 5b
a = 5 × 6
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Agatha is 30 years old
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3 years ago
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Answer:

a

Step-by-step explanation:

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16x3=48

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