The set of complex numbers is the set of all numbers of the form a + bi, where a and b are real numbers and i = . A. True B. Fal
1 answer:
The set of complex numbers IS the set of all numbers of the form , where <em>a</em> and <em>b</em> are real numbers, and <em>i</em> is the imaginary unit defined as
, therefor the statement is correct.
Complex numbers can be seen as an extension of the set of all real numbers, and they have a wide range of aplications in many fields like Engineering, Physics, Mathematics and more. The most simple definition of a complex number, is that they are the sum of a real number (in this case <em>a</em>) and an imaginary number (in this case ).
Usually confusion arises in many students while studying complex numbers because the imaginary unit, <em>i</em>, isn't a number we can compute. The best way to see these numbers is as 2-dimensional numbers, meaning numbers that have 2 components (the idea is almost the same as that of a 2-dimensional vector). They are thoroughly used in Mechanical Engineer to solve for vibration problems, and in Electrical Engineering to compute the real and imaginary part of electric power.
<h3>Learn more</h3>- How to multiply complex numbers: brainly.com/question/501218
- How to add complex numbers: brainly.com/question/1665916
Complex numbers, imaginary unit, real numbers
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Answer:
Sally is 10 miles
The coordinate ofthe deli is (1, -1)
Step-by-step explanation:
✍️Coordinate of Sally = (-3, 2)
Coordinate of Ocean Front = (5, -4)
The distance of Sally to Ocean Front Housing Complex = the distance between point (-3, 2) and (5, -4).
Use the distance formula, , to calculate the distance between (-3, 2) and (5, -4):
✅The distance of Sally is 10 miles
✍️the coordinate of Deli would be half the distance between Sally and Ocean Front.
Therefore, use the midpoint formula to calculate the coordinate of the midpoint between Sally (-3, 2) and Ocean Front (5, -4).
Midpoint of (-3, 2) and (5, -4).
Plug in the values
✅The coordinate ofthe deli is (1, -1)
Answer:
see below
Step-by-step explanation:
A multiplier on the function value moves its y-coordinate farther from the x-axis by that multiplier value. It is the stretch factor. Stretch factors less than 1 cause the graph to be compressed vertically.
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A multiplier on the independent variable means it doesn't need to be as large to give the same function value. That is, multiplication of x by a factor of k compresses the graph horizontally by that factor of k. Equivalently, it does a horizontal stretch by a factor of 1/k.
