All categories

2 years ago

1. Simplify the expression (3 - 4i)(1 + 5i) - (2 - i)

Mathematics

1 answer:

lord [1]2 years ago

5 0

Step-by-step explanation:

(3 − 4i) (1 + 5i) − (2 − i)

3 + 15i − 4i − 20i² − 2 + i

1 + 12i + 20

21 + 12i

(a² + 3a − 7) (2a² − a + 4)

a² (2a² − a + 4) + 3a (2a² − a + 4) − 7 (2a² − a + 4)

2a⁴ − a³ + 4a² + 6a³ − 3a² + 12a − 14a² + 7a − 28

2a⁴ + 5a³ − 13a² + 19a − 28

You might be interested in

How many 100 dollar bills make 2324 dollars

Nikolay [14]

Answer: 24 $100 bills, even though this will add up to more than 2324 dollars, it is the amount needed to cover the price

Step-by-step explanation: divide 2324 dollars by 100

4 0

2 years ago

Write a word problem that you can solve by multiplying a mixed number y a whole number.Include a solution

Elanso [62]

3
- x 6 = 4
4

Mary has 6 cakes, she gives 3/4 of the cakes away. How many cakes does Mary have?

6 0

2 years ago

If mr. douty goes to the store and purchases 5 equally priced items for a total of $172.45, how much did each item cost individu

natima [27]

Answer:

$34.49

Step-by-step explanation:

To figure out this problem, you would need to divide the total price by the total amount of items you are buying

In this case it is...

172.45/5

=34.49

So the price of each item is approx. $34.49

5 0

1 year ago

Can somebody pls help

Delvig [45]

The answer is A domain

6 0

2 years ago

Liliana is making a vase with a circular base. She wants the area of the base to be between 135 cm2 and 155 cm2. Which circle co

Umnica [9.8K]

Answer:

(b) Circle C is shown. Line segment A C is a radius with length 7 centimeters.

Step-by-step explanation:

Given

$Minimum\ Area = 135cm^2$

$Maximum\ Area = 155cm^2$

$\pi = 3.14$

Required

Which circle could she use

To do this, we simply calculate the areas of all the given circles

The area of a circle is:

$Area = \pi r^2$

Where

$r = radius$

$a.\ r = 6cm$

The area is calculated as thus:

$Area = \pi r^2$

$Area = 3.14 * (6cm)^2$

$Area = 3.14 * 36cm^2$

$Area = 114.04cm^2$

$b.\ r = 7cm$

The area is calculated as thus:

$Area = \pi r^2$

$Area = 3.14 * (7cm)^2$

$Area = 3.14 * 49cm^2$

$Area = 153.86cm^2$

$c.\ r = 8cm$

The area is calculated as thus:

$Area = \pi r^2$

$Area = 3.14 * (8cm)^2$

$Area = 3.14 * 64cm^2$

$Area = 200.96cm^2$

$d.\ r = 9cm$

The area is calculated as thus:

$Area = \pi r^2$

$Area = 3.14 * (9cm)^2$

$Area = 3.14 * 81cm^2$

$Area = 254.34cm^2$

<em>From the calculations above; only the circle in option (b) has an area within the required range of 135 to 155cm^2</em>

6 0

2 years ago

Read 2 more answers