Leroro123
Leroro123 Leroro123
  • 21-05-2018
  • Mathematics
contestada


The modulus of (3 + 4i)4 is _____.

5
20
125
625

Respuesta :

jimthompson5910 jimthompson5910
  • 21-05-2018
(3+4i)*4 = 3*4+4i*4 = 12+16i

The complex number 12+16i is in the form a+bi where a = 12 and b = 16

m = modulus
m = distance from (0,0) to (a,b)
m = sqrt(a^2+b^2)
m = sqrt(12^2+16^2)
m = sqrt(144+256)
m = sqrt(400)
m = 20

Answer: 20
Answer Link

Otras preguntas

what helps supply energy from the cell
How do you write the name of the period that has the digits 913?
How do I solve 2x+y=10
If a black swallowtail butterfly's wingspan is 3 1/4 inches. And a hummingbird moth's wingspan is 3 1/2 inches. How many times larger is the moth than the butte
Consider the circle of radius 5 centered at (0,0). Find an equation of the line tangent to the circle at point (3,4). The book gives me the answer: y=-3/4(x-3)
the perimeter of a triangle is 117 cm. two sides are 31 cm and 48 cm. find the third side.
A circular table has a diameter of 48". The table can be enlarged by inserting two rectangular leaves, each 18" wide and 48" long. What is the area of the expa
what are three ways a scientist can minimize bias in scientific investigations?
Why is it important that scientific investigation be repeated? What happens when other scientists achieve different results when repeating an investigation?
Use expressions for odd integers to confirm the conjecture that the product for two odd integers is an odd integer.