Complex numbers can be represented on graphs
The sum of z1 and z2 is in (d) quadrant IV
From the attached graph, we have the following parameters:
Z1
Real = 7
Imaginary = 3
Z2
Real = -3
Imaginary = -5
A complex number is represented as: Real + Imaginary x i
So, we have:
[tex]\mathbf{z_1 = 7 + 3i}[/tex]
[tex]\mathbf{z_2 = -3 - 5i}[/tex]
Add both complex numbers
[tex]\mathbf{Sum = z_1 + z_2}[/tex]
So, we have:
[tex]\mathbf{Sum = 7 + 3i -3 - 5i}[/tex]
Collect like terms
[tex]\mathbf{Sum = 7 -3+ 3i - 5i}[/tex]
[tex]\mathbf{Sum = 4-2i}[/tex]
The above sum implies that:
Real = 4
Imaginary = -2
Rewrite as:
Sum= (4,-2)
The location of (4,-2) is the 4th quadrant.
Hence, the sum is in (d) quadrant IV
Read more about complex numbers at:
https://brainly.com/question/10251853
