Question

Graph the complex number and find its modulus. 3+4 i / 5

Answer 1

To graph the complex number 3+4i/5, divide the real and imaginary parts by 5. Plot the resulting point on the complex plane and find the modulus as the distance from the origin.

Step-by-step explanation:

To graph the complex number 3+4i/5, we need to divide the real part (3) and the imaginary part (4i) by 5. This gives us 0.6 + 0.8i. To graph this complex number, we plot the point (0.6, 0.8) on the complex plane. The modulus of a complex number is the distance from the origin to the point representing the number. In this case, the modulus is 1 because the distance is 1 unit from the origin.