All categories

3 years ago

Find the product of these complex numbers. (2-3i) * (1 - i) =

Mathematics

2 answers:

Reika [66]3 years ago

8 0

Answer:

- 1 - 5i

Step-by-step explanation:

note that i² = - 1

Given

(2 - 3i)(1 - i) ← expand using FOIL

= 2 - 2i - 3i + 3i²

= 2 - 5i - 3

= - 1 - 5i

Rudiy273 years ago

7 0

Answer: -1 - 5i

Step-by-step explanation: It's important to understand that we

can work this problem as if we were multiplying two binomials together.

In other words, we can use the F.O.I.L. method. First, Outer, Inner, Last.

The product of the first terms in each complex number is 2.

The product of the outer terms is -2i.

The product of the inner terms is -3i.

The product of the last terms is 3i².

Next, we combine our like terms. So -2i + -3i = -5i.

Also, i² is -1 so our last term is just 3(-1) or -3.

So we have 2 - 5i + (-3) or 2 - 5i - 3 which is -1 - 5i.

You might be interested in

If m∠NOP = 24 and m∠NOQ = 110, what is m∠POQ? Angle N O Q divided into two unequal angles by ray O P. A. 62 B. 86 C. 134 D. 156I

lisabon 2012 [21]

Answer:

<em>B. 86 degrees</em>

Step-by-step explanation:

Given the following angles

m∠NOP = 24

m∠NOQ = 110

Required

m∠POQ

The following addition postulate is true for the angles

m∠NOQ = m∠NOP + m∠POQ

m∠POQ = m∠NOQ -m∠NOP

Substitute the angles given into the formula:

m∠POQ = 110 - 24

m∠POQ = 86°

<em>Hence the measure of angle POQ is 86 degrees</em>

8 0

3 years ago

The height of a small rock falling from the top of a 124-ft-tall building with an initial downward velocity of –30 ft/sec is mod

Contact [7]

Answer:

Option 3.

Step-by-step explanation:

The given function is

$h(t)=-16t^2-30t+124$

where, h(t) is the height of a small rock falling from the top of a 124-ft-tall building and t is the time in seconds.

It is a downward parabola.

Equate the function equal to 0, to find the time at which the rock touch the ground.

$-16t^2-30t+124=0$

If $ax^2+bx+c=0$ , the according to the quadratic formula

$x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}$

Using quadratic formula, we get

$t=\dfrac{-(-30)\pm \sqrt{(-30)^2-4(124)(-16)}}{2(-16)}$

$t=\dfrac{30+\sqrt{(-30)^2-4(124)(-16)}}{2(-16)},\dfrac{30-\sqrt{(-30)^2-4(124)(-16)}}{2(-16)}$

$t=-3.875, 2$

Time cannot be negative. So, the rock remain in the air in the interval 0 < t < 2.

Therefore, the correct option is 3.

6 0

3 years ago

The sum of outer angles of a polygon is twice the sum of inner angles. How many sides does it have?

atroni [7]

<h2><em><u>6</u></em></h2><h2><em>The sum of the interior angles of a polygon is twice the sum of its exterior angles. Therefore, by solving we get n=6 sides</em></h2><h2><em>HOPE IT HELPS </em></h2><h2><em>THANK YOU </em></h2><h2><em></em></h2>

6 0

3 years ago

Read 2 more answers

How far is a chord of length 8 cm from the centre of a circle of radius 5 cm

ivann1987 [24]