Provide an appropriate response.Give a geometric interpretation of what happens to a complex number when it is squared. Describe what happens to the argument and to the distance from the origin. Will the distance from the origin increase, decrease, or remain the same?
What will be an ideal response?
The argument of the complex number will be doubled and its distance from the origin will be multiplied by a factor of r. The distance from the origin will increase if 
, decrease if 
and remain the same if 
Mathematics
You might also like to view...
Find the limit.
A. 2
B. 
C. 
D. 0
Mathematics
Solve the system of linear inequalities.x + y ? 0 y ? 4x - 5
A. 
B. 
C. 
D. 
Mathematics
Find the solution to the system of equations by the substitution method.x + 9y = 98x - 5y = -5
A. (1, 1) B. (0, 1) C. (1, 0) D. (0, 0)
Mathematics
Find an equation of the line through the pair of points. Write the equation in the form Ax + By = C.(5, -4) and (1, 3)
A. 9x - 2y = -15 B. -9x + 2y = -15 C. 7x + 4y = 19 D. -7x + 4y = 19
Mathematics