MATHEMATICS COLLEGE

Consider w1 = 4 + 2i and w2 = –1 – 3i. Which graph represents the sum w1 + w2?
Consider w1 = 4 + 2i and w2 = –1 - 4

Answers

Answer 1
Answer:

Answer:

Option (2)

Step-by-step explanation:

Two points having real and imaginary parts are,

w₁ = 4 + 2i

w₂ = -1 - 3i

By adding these numbers,

w₁ + w₂ = (4 + 2i) + (-1 - 3i)

            = (4 - 1) + (2 - 3)i

            = 3 - (1)i

Since, coordinates of a number on the graph are (x, y)

Here x = Real part

y = Imaginary part

Therefore, sum of these numbers will be (3, -1).

Option (2) will be the correct graph.
Answer 2
Answer:

Answer:

B on Edge

Step-by-step explanation:

Got 100% on the test.

Related Questions

A company manufacturing computer chips finds that 8% of all chips manufactured are defective. In an effort to decrease the percentage of defective chips, management decides to provide additional training to those employees hired within the last year. After training was implemented, a sample of 450 chips revealed only 27 defects. A hypothesis test is performed to determine if the additional training was effective in lowering the defect rate. Which of the following statement is true about this hypothesis test?a) The additional training significantly increased the defect rate.b) The additional training significantly lowered the defect rate.c) The additional training did affect the defect rate.d) The additional training did not significantly lower the defect rate.e) None of these.
What is the circumference, in centimeters, of the circle? Use 3.14 for pi (please!!)
What is the answer to this problem and why 60+60×0+1=
Below is a list of the scores of the Altanta Falcons games scores in the year 2021. 3 17 10 6 25 17 34 30 13 27 3 0 21 17 13 20 15 20 29 27What is the mean score?
What is the slope of this line? Enter your answer as a fraction in simplest term in the box.

The Richter Scale gives a mathematical model for the magnitude of an earthquake in terms of the ratio of the amplitude of an earthquake wave (also known as the intensity of an earthquake) to the amplitude of the smallest detectable wave. If we denote the magnitude of the earthquake by R, the intensity (also known as the amplitude of the earthquake wave) of the earthquake by A, and the amplitude of the smallest detectable wave by S, then we can model these values by the formula R=log(AS)
In 1906, San Francisco felt the impact of an earthquake with a magnitude of 7.8. Many pundits claim that the worst is yet to come, with an earthquake 748,180 times as intense as the 1906 earthquake ready to hit San Francisco. If the pundits ability to predict such earthquakes were correct, what would be the magnitude of their claimed earthquake? Round your answer to the nearest tenth.

Answers

Answer:

The magnitude of the claimed earthquake would be 13.67.

Step-by-step explanation:

The 1906 earthquake had a intensity of A and a magnitude of 7.8.

S is going to have the same value, so i am going to write as 1. So:

\log{A} = 7.8

A = 10^(7.8)

A = 63095734.448

Many pundits claim that the worst is yet to come, with an earthquake 748,180 times as intense as the 1906 earthquake ready to hit San Francisco.

So A = 748180*63095734.448

So

R = \log{A} = \log{748180*63095734.448} = 13.67

The magnitude of the claimed earthquake would be 13.67.

What is the slope of the line?

Answers

Answer:

2/3

Step-by-step explanation:

Choose two points from the graph; count how far one point is away from the other. Simplify if needed.

5. MAPPING Ben and Kate are making amap of their neighborhood on a piece of
graph paper. They decide to make one
unit on the graph paper correspond to
100 yards. First, they put their homes
on the map as shown below.

a. How many yards apart are Kate's and Ben's homes?

b. Their friend Jason lives exactly halfway between Ben and Kate. Mark the location of Jason's home on the
map. if my answers are wrong, correct me. i just used a pdf and idk if they’re right. ty ❤️

Answers

Answer:

a. 1,000 yards

b. (2, -1)

Step-by-step explanation:

Coordinates of Ben's House = (6, 2)

Coordinates of Kate's House = (-2, -4)

a. Number of yards between Kate and Ben's House using instance formula, d = √((x_2 - x_1)^2 + (y_2 - y_1)^2).

d = √((6 -(-2))^2 + (2 -(-4))^2)

d = √((8)^2 + (6)^2)

d = √(64 + 36)

d = √(100)

d = 10 units

1 unit = 100 yards

Therefore, 10 units = 1,000 yards.

Kate and Ben's House are 1,000 yards apart.

b. Since Jason's home is halfway between Ben and Kate's House, therefore, Jason's location is the midpoint between Ben and Kate's House. Use the midpoint formula to calculate the coordinates of Jason's location on the map, using (6, 2) and (-2, -4).

M((x_1 + x_2)/(2), (y_1 + y_2)/(2))

Plug in the values

M((6 +(-2))/(2), (2 +(-4))/(2))

M((4)/(2), (-2)/(2))

M(2, -1)

Which fractions convert into repeating decimals? Select ALL that apply. 4/40. 12/100. 3/18. 1/5. 9/27​

Answers

9/27 & 3/18 are repeating decimals

Answer:

3/18     = 1.6666

9/27​    = 0.3333

Step-by-step explanation:

4/40    = 0.1

12/100 = 0.12

3/18     = 1.6666

1/5       = 0.2

9/27​    = 0.3333

Please answer now please

Answers

You have an answer either way whether it had no solution or infinite

Because either way you still get an answer that defines whether it has infinitely many solutions, or if it has no solution.

Part a: if angle a and angle b are vertical angles, what is the value of X? part b: if angle a and angle b are supplementary angles, what is the measure of angle b?

Answers

Answer:

a. x = 8

b. m<B = 140

Step-by-step explanation:

a.

m<A = m<B

40 = 5x

x = 8

b.

m<A + m<B = 180

m<B = 180 - m<A

m<B = 180 - 40

m<B = 140
Other Questions
It was reported that 23% of U.S. adult cellphone owners called a friend for advice about a purchase while in a store. If a sample of 15 U.S adult cellphone owners is selected, what is the probability that 7 called a friend for advice about a purchase while in a store
The company’s cost of manufacturing a single 1-inch binder is $0.25. What is the expected profit (in dollars) that the company will make, per customer, for 1-inch binder sales during the promotion? The expected profit is 1.25c) The mean and standard deviation of “Y = the number of 2-inch binders purchased by a single customer” is 2.74 and 1.25, respectively. Assume that the number of 1-inch and 2-inch binders purchased are independent random variables. What are the mean and standard deviation of the total number of binders purchased by a single customer?d) The company’s cost of manufacturing a single 2-inch binder is $0.55. What is the total expected profit (in dollars) that the company will make, per customer, during the promotion?
1. In order to get more female customers, a new clothing store offers free gourmet coffee and pastry to its customers. The average daily revenue over the past five-week period has been $1,080 with a standard deviation of $260. Use this sample information to construct a 95% confidence interval for the average daily revenue. The store manager believes that the coffee and pastry strategy would lead to an average daily revenue of $1,200. Is the manager correct based on the 95% confidence interval?
How many grains of sand are there in 6300kg of sand? Give your answer in standard from