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3 years ago

What is the product of the complex numbers below? (3-9i)(6-i)

Mathematics

1 answer:

Jobisdone [24]3 years ago

3 0

Answer:

(9-57i)

Step-by-step explanation:

We need to find the product of the given complex number i.e.

(3-9i)(6-i)

It can be solved as follows :

(3-9i)(6-i) = 3(6) +3(-i) +(-9i)(6) + 9i(i)

= 18-3i-54i+9i²

We know that, i² = -1

So,

= 18-3i-54i+9(-1)

= 18-57i-9

= 9-57i

So, the product of the given complex number is (9-57i).

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This figure is made up of a rectangle and parallelogram. What is the area of this figure?

kondaur [170]

Answer:

51 square units

Step-by-step explanation:

Area of a parallelogram = base x height

⇒ area = 4 x 3 = 12 square units

Area of a rectangle = width x length

width = √(2² + 3²) = √13

length = √(9² + 6²) = √117

area = √13 x √117 = 39 square units

Total area = 12 + 39 = 51 square units

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What are the next two terms in the sequence 22, 15, 8, __, __? 1, -7 2, -4 2, -6 1, -6

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Step-by-step explanation:

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Answer:

This is it.

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3 years ago

The population of turkeys in the USA has been increasing at a rate of 8% per year. What is the multiplier?

Triss [41]

Answer:

1.08x

Step-by-step explanation:

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2 years ago

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Which expression equals a number that is NOT a rational number?

rewona [7]

$\frac{3\pi.3^3}{7}$ is not included as a rational number !

Step-by-step explanation:

Here we have , following expressions & we need to identify which of the following is not a rational number . Let's find out:

We know that , Rational Number : A number which can be expressed in form of p/q , where q is not equal to zero !

Here Expressions are:

$\frac{3\pi . 3^3}{7\pi}$ :

Let's evaluate this expression

⇒ $\frac{3(\pi) ( 3^3)}{7(\pi)}$

⇒ $\frac{3^4}{7}$

Therefore , It is a rational number ! .

$\frac{-18}{5}$ :

Let's evaluate this expression

⇒ $\frac{-18}{5}$

Therefore , It is a rational number ! .

$\frac{5}{3-7-9}$ :

Let's evaluate this expression

⇒ $\frac{5}{3-16}$

⇒ $\frac{-5}{13}$

Therefore , It is a rational number ! .

$\frac{3\pi.3^3}{7}$ :

Let's evaluate this expression

⇒ $\frac{3\pi.3^3}{7}$

⇒ $\frac{\pi.3^4}{7}$

Therefore , It is not a rational number , as pi is included ! .

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