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]
2 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]2 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
What is 3/4 improper or proper or mixed
kotegsom [21]

Answer:

proper because the numerator is lower than the denominator

3 0
3 years ago
Rename 2/5 as a percent_______________________
loris [4]

It can be helpful to remember that "%" is just a shorthand way to write "/100" (divided by 100, or per 100, or per cent). ("Cent" is often used to refer to 100 or 1/100. A "cent" is 1/100 of a dollar, or 1/100 of an acre, for example. A <em>cent</em>ury is 100 years.)

Make the denominator of your fraction be 100. Multiply numerator and denominator by 20/20.

(2/5)×(20/20) = 40/100 = 40%

You can also get there via decimals.

... 2/5 = 0.4 = 0.40 (40 hundredths) = 40/100 (40 hundredths) = 40%

Or, you can multiply by 100%.

... (2/5)×(100%) = (200/5)% = 40%

7 0
2 years ago
Which table represents the function?
horrorfan [7]
D because they all increase by the same number (+1)
7 0
3 years ago
Read 2 more answers
Has any see alexalunathis moring
Irina18 [472]

Answer:

no ill tell u if i see her homedawgidawg

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
Will mark brainliest please help me Explain step by step how to find the equation of a line that goes through the points ( 7, 2
vagabundo [1.1K]

Answer:

Step-by-step explanation:

Put the ordered pairs into the slope formula x=y2-y1/x2-x1 then you will get your slope of the line. once you have your slope pick an ordered pair and put it in point slope y-y1=m(x-x1) distribute and you will get your answer.

5 0
3 years ago
Read 2 more answers
Other questions:
  • The united states gets about 39% of its energy from petroleum. Express 39% as a decimal.
    12·1 answer
  • An octagon is a polygon with eight sides. Which of the following
    9·1 answer
  • Please help explain!!
    12·2 answers
  • Which monomial is a perfect cube?
    8·2 answers
  • Write the ratio as a fraction in simplest form, with whole numbers in the numerator and denominator. 6.3kg : 4.5kg
    12·2 answers
  • Consider the function represented by 9x + 3y = 12 with x as the independent variable. How can this function be written using
    11·1 answer
  • Nora make 3000 a month if she spends 26% how did Nora spend?
    6·2 answers
  • 2z(4w+3z-5)-(2w+5z)(1w+4z-3)
    10·1 answer
  • What is the value of 12x + 9x - 3 = 3(2x + 14) for the inequality ?
    8·2 answers
  • The Jones family plans a trip to the amusement park and purchase a family package for $128.00. They also want to but lunch and s
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!