1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Vikki [24]
3 years ago
9

Given equation x = 6 + i, w = -1 + 5i and z = 4 - 8i, determine each of the following in the form of a + bi

Mathematics
1 answer:
Temka [501]3 years ago
3 0

Answer:

i) 28 - 30i

ii) 36 + 28i

Step-by-step explanation:

i) x = 6 + i ⇒2x = 2(6 + i) = 12 + 2i

z = 4 - 8i ⇒ 4z = 4(4 - 8i) = 16 - 32i

2x + 4z = (12 + 2i) + (16 - 32i) = 28 - 30i

ii) w = -1 + 5i and z = 4 - 8i

w × z = (-1 + 5i)(4 - 8i) = -4 + 8i + 20i - 40i^{2}⇒collect like terms

w × z = -4 + 28i - 40i^{2}

∵ i^{2}=-1

∴w × z = -4 + 28i - 40(-1) = -4 + 28i + 40 = 36 + 28i

You might be interested in
Multiply 8-2x/5* 45x^3+90^2/10x^2-20x-80
lys-0071 [83]

Answer:

excuse me can you speak english

7 0
3 years ago
The box plots below show student grades on the most recent exam compared to overall grades in the class: two box plots shown. Th
finlep [7]

Question:

The box plots below show student grades on the most recent exam compared to overall grades in the class: two box plots shown. The top one is labeled Class. Minimum at 70, Q1 at 74, median at 83, Q3 at 92, maximum at 100. The bottom box plot is labeled Exam. Minimum at 60, Q1 at 81, median at 87, Q3 at 91, maximum at 95. Which of the following best describes the information about the medians? (1 point) Group of answer choices

•The exam outlier at 60 makes the IQR narrower and the median higher.

•The class data is more evenly spread, which pulls its median down.

•The class median is lower than the exam median.

•The class Q3 is higher than the exam Q3.

Answer:

•The class Q3 is higher than the exam Q3.

Step-by-step explanation:

In the question we have two box plots

a) Box plots for class is given as

Minimum at 70, Q1 at 74, median at 83, Q3 at 92,

b) Box plots for exam is given as Minimum at 60, Q1 at 81, median at 87, Q3 at 91, maximum at 95.

When we compare the median of the class which is 83 and the median of the exam plots 87, we can see that the median of the exam is higher than the median of the class, hence the option

"•The class median is lower than the exam median". is wrong.

From the options given, the only correct option which best describes the information about the medians is

"•The class Q3 is higher than the exam Q3".

This is because when we compare the Q3 of the class which is 92 to the Q3 of the box which is 91 , we can see that the class Q3 is higher than the box Q3 hence the option is correct.

8 0
3 years ago
Helo asap !! will get branliest.​
Dvinal [7]

Answer:

1/25

Step-by-step explanation:

= 5^4/5^6

= 1/5^6-4

= 1/5^2

= 1/25

hope it helps!

8 0
3 years ago
Read 2 more answers
Mr. Brown's class is collecting books for a book drive. They started with 2 books. On the first day, they had 6 books. On the se
elena-s [515]

Answer:

the answer is b i click it and it was right

y=2(3)^x

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Please need HELP????????????<br> THIS IS DO TODAY IN ONE HOUR PLEASE HELP
ExtremeBDS [4]

Answer:-0.2

Step-by-step explanation:

Ask Siri lol

4 0
3 years ago
Other questions:
  • The equation of a circle is given below.
    9·1 answer
  • What is the equation of the line described below written in slope-intercept form?
    6·1 answer
  • Smh I seriously don’t understand how I’m this freaking dumb
    6·2 answers
  • I have tried solving and constantly find myself stuck someone please help my test is tomorrow!!!​
    10·1 answer
  • The original price is 125 dollars and sale price is 81.25 dollars what is the discount
    15·1 answer
  • Daniel is organizing his rock collection of 18 rocks into equal groups. How many possible ways can Daniel line up his rock colle
    8·1 answer
  • Jill was solving a system using the elimination method.After she added the equations together,she got 5=7.What does this mean fo
    14·1 answer
  • Please hlelp me I need he fdfdf
    11·2 answers
  • I need help in this question
    8·1 answer
  • 72.45 - 10.25 =seventy two point forty five minus ten point twenty five?​
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!