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3 years ago

What is the value of the product (3 – 2i)(3 + 2i)?

Mathematics

2 answers:

eimsori [14]3 years ago

6 0

Answer:

Step-by-step explanation:

(3 - 2i)(3 + 2i)

Expand

(9 + 6i - 6i - 4i^2)

Add

(9 - 4i^2)

Convert i^2

i^2 = ( $\sqrt{-1}$ )^2 = -1

(9 - 4(-1))

Add

(9 + 4)

= 13

Semenov [28]3 years ago

3 0

Answer:

13.

Step-by-step explanation:

(3 - 2i)(3 + 2i)

= (3 * 3) + (-2i * 3) + (2i * 3) + (-2i * 2i)

= 9 - 6i + 6i - 4 $\sqrt{-1} ^{2}$

= 9 - 4(-1)

= 9 + 4

= 13

Hope this helps!

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Anit [1.1K]

Answer:

There is a constant of proportionality between the two purchases and each book costs $4.99 (option B).

Step-by-step explanation:

A correspondence relation between two variables is of direct proportionality when the quotient between the corresponding quantities is always the same. This quotient is called the constant of proportionality.

In other words, when dividing any quantity of one of the magnitudes by the one that corresponds to it in the other, the value it gives is always the same. This value is known as the constant of proportionality.

In this case, the constant of proportionality k will relate the number of books bought N and their cost C in the following way:

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