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
maria [59]
2 years ago
13

Consider z1 = 4 – 4 startroot 3 endrooti and z2 = –16i. What is z1 – z2? 4 – 12startroot 3 endroot i 4 12startroot 3 endroot i 4

– 4( startroot 3 endroot – 4)i 4 4 (startroot 3 endroot – 4)i
Mathematics
1 answer:
dalvyx [7]2 years ago
5 0

The answer is: z_1-z_2=4-4(\sqrt{3i} -4i)

The correct option is: (D)

<h3>What are Complex numbers?</h3>

A complex number is the sum of a real number and an imaginary number. A complex number is of the form a + ib and is usually represented by z. Here both a and b are real numbers. The value 'a' is called the real part which is denoted by Re(z), and 'b' is called the imaginary part Im(z).

Since we have given : z_1=4-4\sqrt{3i} and z_2 = -16i

The difference of z1 - z2 would be:

So,

z_1-z_2=4-4\sqrt{3i} - (-16i)

z_1-z_2=4-4\sqrt{3i}+16i

z_1-z_2=4-4(\sqrt{3i} -4i)

Hence, z_1-z_2=4-4(\sqrt{3i} -4i)

Learn more about Complex Number here:

brainly.com/question/14028757

#SPJ1

You might be interested in
The value of the digit in the hundredths place of 0.44 is how many times as much as the value of the digit in the tenths place
dangina [55]
The hundreths place of 0.44 is the second 4, aka 0.4(4) <-- this digit.
The digit in the tenths place is 0.(4)4 <--- the one circled by the brackets.

So the value of the digit in the hundreths place is 0.04, while the value of that in the tenths place is 0.4~

You should be able to get to the answer from here, if not, I'll be here to answer/follow through~ :)
5 0
3 years ago
Read 2 more answers
Ms Garcia is an electrician and has a length of wire that is 32.7 meters long . She has another length of wire that is 15.33 met
Eva8 [605]

Ms Garcia is an electrician and has a length of wire that is 32.7 meters long. She has another length of wire that is 15.33 meters long . How much longer is one wire than the other? Solve problem any way you choose

  32.7

- 15.33

 ---------

 17.37

So your answer will be 17.37

7 0
3 years ago
What basic trigonometry identity would you use to identify that sin x cos x tan x = 1 - cos^2x
arsen [322]

Answer:

tanx = sinx/cosx

Step-by-step explanation:

Given the expression

sin x cos x tan x = 1 - cos^2x

According to trigonometry identity

tan x = sinx/cosx

Substitute into the expression. From LHS

sin x cos x tan x

= sin x cos x (sinx/cosx)

= sin²x

Also since sin²x+cos²x = 1

Hence sin²x = 1 - cos²x (RHS)

The correct option is therefore tanx = sinx/cosx

3 0
3 years ago
From a sample of 120 batteries, 3 are faulty. Work out the percentage of faulty<br> batteries.
IrinaVladis [17]

Answer:

2.5%

Step-by-step explanation:

% = (faulty batteries / total batteries) x 100

= (3/120) x 100

= 0.025 x 100

= 2.5

7 0
3 years ago
A highway engineer knows that his crew can lay 5 miles of highway on a clear day, 2 miles on a rainy day, and only 1 mile on a s
lesya692 [45]

Answer:

Mean = 3.7

Variance = 2.61

Step-by-step explanation:

From the data given; we can represent our table into table format for easier solution and better understanding.

Given that:

A highway engineer knows that his crew can lay 5 miles of highway on a clear day, 2 miles on a rainy day, and only 1 mile on a snowy day

Let X represent the crew;

P(X) represent their respective probabilities

                   clear  day           rainy day            snowy day

X                  5                          2                           1

P(X)              0.6                       0.3                       0.1

From Above; we can determine our X*P(X) and X²P(X)

Let have the two additional columns to table ; we have

X                      P(X)                      X*P(X)                       X²P(X)

5                        0.6                          3                               15

2                        0.3                        0.6                             1.2

1                         0.1                          0.1                            0.1

Total                  1.0                        3.7                             16.3

The mean \mu can be calculated by using the formula:

\sum \limits ^n _{i=1}X_i P(X_i)

Therefore ; mean \mu = 3.7

Variance \sigma^2 = \sum \limits ^n _{i=1}X^2_i P(X_i)- \mu^2

Variance = 16.3 -3.7²

Variance = 16.3 - 13.69

Variance = 2.61

4 0
4 years ago
Other questions:
  • Simplify.<br><img src="https://tex.z-dn.net/?f=%20-%20%286p%20%7B%7D%5E%7B2%7D%20%20-%20q%20-%204%29%20%2B%20%283%20-%20p%20%7B%
    6·1 answer
  • if a car travels at a speed of 25mi/h for t hours, then travels 45mi/h for m hours, what does the expression 25t+45m represent?
    10·1 answer
  • What is the answer?....
    12·2 answers
  • What is a rational number.
    5·2 answers
  • Write an equation in point-slope form for the line through the given point with the given slope.
    15·1 answer
  • a bag of sweets contains only two different flavours strawberry and orange. the probability that a sweet is strawberry is 0.8 wh
    8·2 answers
  • F(x) = 9x-7. If f(x)= -7, find x.​
    12·1 answer
  • Which statement is true?
    11·1 answer
  • Anne has an aquarium in the shape of a rectangular prism that measures 10 in. By 20 in. By 10 in. How many cubic inches of water
    10·1 answer
  • Dhswer in the
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!