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
rewona [7]
3 years ago
9

Explain in detail with at least two sentences how to represent the product of A and B geometrically given that A=15+56i and B =

7 + 4i. Give the coordinate of A • B in polar form.
Mathematics
1 answer:
Nookie1986 [14]3 years ago
7 0

Basically each part of the first complex number gets multiplied by each part of the second complex number. You are multiplying 2 binomials.

(15 + 56i(7 + 4i)

= 105 + 60i + 392i + 224i^2

= 105 + 452i - 224 ( because i^2 = -1)

= - 119 + 452i


You might be interested in
How much must be added to each of the three numbers 1, 11, and 23 so that together they form a geometric progression?
Sliva [168]

Answer:

49

Step-by-step explanation:

Let x be unknown number which should be added to numbers 1, 11, 23 to get geometric progression. Then numbers 1 + x, 11 + x, 23 + x are first three terms of geometric progression.

Hence,

b_1=1+x\\ \\b_2=11+x\\ \\b_3=23+x

and

b_2=b_1\cdot q\Rightarrow 11+x=(1+x)q\\ \\b_3=b_2\cdot q\Rightarrow 23+x=(11+x)q

Express q:

q=\dfrac{11+x}{1+x}=\dfrac{23+x}{11+x}

Solve this equation. Cross multiply:

(11+x)^2=(1+x)(23+x)\\ \\121+22x+x^2=23+x+23x+x^2\\ \\121+22x=23+24x\\ \\22x-24x=23-121\\ \\-2x=-98\\ \\2x=98\\ \\x=49

5 0
3 years ago
Which of the following statements best defines the cardinality of a sample space? A. Cardinality refers to the number of outcome
Natalka [10]
By definition, the word "cardinality" is a term most especially used to determine the "measure of number elements in a set." In addition to that, a sample space simply defines the number of possible outcomes in a random experiment. Therefore, the answer would be "<span>Cardinality refers to the number of outcomes in a sample space."</span>
3 0
3 years ago
Read 2 more answers
Jane is having difficulty deciding whether to put her savings in the Mystic Bank or in the Four Rivers Bank. Mystic offers a 12%
Ad libitum [116K]
The answer to this question would be <span>B. Mystic
</span><span>

Since the rate should be constant, option C and D wouldn't be true.</span>
If the Four Rivers bank gives 12% per year and Mystic Bank gives 14% per year, it will be 3% per quarter year for Four Rivers Bank and 7% semiannually for Mystic Bank. 
The total rate would become:
Four rivers 103%^4= 1.125
Mystic : 107%^2= 1.145

5 0
3 years ago
A property agent charges a commission of 2.5% on the selling price of a house. If the agent sells a house $650000, find the amou
nadya68 [22]

650000(0.025) = $16,250

8 0
3 years ago
Read 2 more answers
Using the table above determine the missing value using the equation y equals 4x + 9 ​
vesna_86 [32]

the answer is B 37 your welcome

8 0
3 years ago
Other questions:
  • Convert 4.90*10^31 atoms of nickel to moles of nickel
    9·1 answer
  • Determine the GCF of 56f3 g2 and 70fg3.
    13·2 answers
  • Midpoint R(-4,6) and S(2,7)
    9·2 answers
  • The perimeter of an equilateral triangle is 6 cm more than the perimeter of a square. The length of a side of the square is 3 cm
    8·1 answer
  • The National Transportation Safety Board publishes statistics on the number of automobile crashes that people in various age gro
    13·1 answer
  • Determine weather 3x-4y+7=3y+1 is a linear equation
    11·1 answer
  • Probability is a measure of how likely an event is to occur. Choose the probability that best matches each of the following stat
    7·1 answer
  • Find the value of x and y <br> (5y-23) <br> (2x+13)<br> (3x)<br> 47
    15·1 answer
  • The ages in years of right boys are. 14,14.5,12,11.5,15,13,20.5,13.5. what is the average age.
    14·1 answer
  • Can anyone please help me I know it’s right I don’t know why it’s staying it’s wrong
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!