Question

review the graph.
which letter represents the sum of (4 + 3i) and (-1 + i)?
a
b
c
d

Explanation:

Step1: Add real parts

To add complex numbers, we add the real parts and the imaginary parts separately. For \((4 + 3i)\) and \((-1 + i)\), first add the real parts: \(4 + (-1)=3\).

Step2: Add imaginary parts

Next, add the imaginary parts: \(3i + i = 4i\).

Step3: Determine the complex number

So the sum is \(3 + 4i\). In the complex plane, the real part is on the x - axis (real axis) and the imaginary part is on the y - axis (imaginary axis). So the point representing \(3+4i\) has a real coordinate of 3 and an imaginary coordinate of 4. Looking at the graph, point B is at (3, 4) (assuming the x - coordinate is real and y - coordinate is imaginary).

Answer:

B