Question
What is the sum of the complex numbers 6 + 5i and 8 + 3i2?
- 11 + 5i
- 14 − 2i
- 14 + 8i3
- 17 + 5i
The correct answer is: 11 + 5i
Hint:
Concept in this question is sum of complex numbers.
Complex number consist of real part and imaginary part. I. e A + bi where A is real part and bi is imaginary part
In addition of complex number do addition of real part and imaginary part separately.
Step by step explanation:
Given:
Two complex numbers: 6 + 5i and 8 + 3i2
Step 1:
Put, i2 = - 1
so, 8 + 3i2 will become
⇒ 8 + 3 (- 1)
⇒ 8 - 3
⇒ 5
Step 2:
Separate real and imaginary part.
(6 + 5i) + (5)
⇒ (6 + 5) + 5i
Step 3:
Now do the simple addition.
⇒ 11 + 5i
Hence, the answer is 11 + 5i.
Related Questions to study
C(t) = 50.25t + 228.75
The average cost per square foot, in dollars, of a condominium in City X can be modeled by the function C defined above, where t is the number of years after 2001 and 0 ≤ t ≤ 8. In the function, what does the number 50.25 represent?
C(t) = 50.25t + 228.75
The average cost per square foot, in dollars, of a condominium in City X can be modeled by the function C defined above, where t is the number of years after 2001 and 0 ≤ t ≤ 8. In the function, what does the number 50.25 represent?
Which of the following values is a solution to the equation above?
Which of the following values is a solution to the equation above?
In the right triangle above, x = 60. What is the length of side AB?
In the right triangle above, x = 60. What is the length of side AB?
Torricelli’s law is given by the equation above, where m represents the mass, h represents the height, ν represents the velocity, and g is a constant. According to the equation from Torricelli’s law, which of the following is equivalent to the velocity, ν?
Torricelli’s law is given by the equation above, where m represents the mass, h represents the height, ν represents the velocity, and g is a constant. According to the equation from Torricelli’s law, which of the following is equivalent to the velocity, ν?
For a ride, a taxi driver charges an initial fare of $3.00 plus $0.40 for each of a mile driven. If the total charge for a ride is $27.00, what is the distance traveled, in miles?
For a ride, a taxi driver charges an initial fare of $3.00 plus $0.40 for each of a mile driven. If the total charge for a ride is $27.00, what is the distance traveled, in miles?
The formula above relates volume V, mass M, and density D. What is density in terms of volume and mass?
The formula above relates volume V, mass M, and density D. What is density in terms of volume and mass?
Which of the following is equivalent to the expression above?
Which of the following is equivalent to the expression above?
If 7(2x − 5) − 2(2x − 5) = 4(x + 5), what is the value of x?
If 7(2x − 5) − 2(2x − 5) = 4(x + 5), what is the value of x?
Which of the following is the solution to the equation above?
Which of the following is the solution to the equation above?
Which of the following is an equation of the line in the xy-plane that has slope 2 and passes through the point (0, 3) ?
Which of the following is an equation of the line in the xy-plane that has slope 2 and passes through the point (0, 3) ?
f(x) = (2x − 1) + 2
For the function f defined above, what is the value of f(1)?
f(x) = (2x − 1) + 2
For the function f defined above, what is the value of f(1)?
During a storm, the atmospheric pressure in a certain location fell at a constant rate of 3.4 millibars (mb) per hour over a 24-hour time period. Which of the following is closest to the total drop in atmospheric pressure, in millimeters of mercury (mmHg), over the course of 5 hours during the 24-hour time period?
(Note: 1,013mb = 760 mmHg )
During a storm, the atmospheric pressure in a certain location fell at a constant rate of 3.4 millibars (mb) per hour over a 24-hour time period. Which of the following is closest to the total drop in atmospheric pressure, in millimeters of mercury (mmHg), over the course of 5 hours during the 24-hour time period?
(Note: 1,013mb = 760 mmHg )
An instrument shows the number of revolutions per minute made by each tire of a car. In each revolution, the car travels a distance equal to the circumference of one of its tires. The circumference of each tire is equal to 2πr, where r is the radius of the tire.
Maria gets new tires for her car. The radius of each of her old tires is 0.30 meter, and the radius of each of her new tires is 11% larger than the radius of one of her old tires. What is the circumference of each new tire, to the nearest tenth of a meter?
An instrument shows the number of revolutions per minute made by each tire of a car. In each revolution, the car travels a distance equal to the circumference of one of its tires. The circumference of each tire is equal to 2πr, where r is the radius of the tire.
Maria gets new tires for her car. The radius of each of her old tires is 0.30 meter, and the radius of each of her new tires is 11% larger than the radius of one of her old tires. What is the circumference of each new tire, to the nearest tenth of a meter?
An instrument shows the number of revolutions per minute made by each tire of a car. In each revolution, the car travels a distance equal to the circumference of one of its tires. The circumference of each tire is equal to 2πr, where r is the radius of the tire.
If the radius of each tire on Maria's car is 0.30 meter, what is the approximate speed of Maria's car, to the nearest kilometer per hour, when the instrument is showing 779 revolutions per minute?
( 1 kilometer = 1000 meters)
An instrument shows the number of revolutions per minute made by each tire of a car. In each revolution, the car travels a distance equal to the circumference of one of its tires. The circumference of each tire is equal to 2πr, where r is the radius of the tire.
If the radius of each tire on Maria's car is 0.30 meter, what is the approximate speed of Maria's car, to the nearest kilometer per hour, when the instrument is showing 779 revolutions per minute?
( 1 kilometer = 1000 meters)