Write the expression in the standard form a + bi.
-If z = 6 - 6i and w = 7 + 4i, evaluate
A)13 - 2i
B)13 + 2i
C)-1 + 10i
D)-13 + 2i

Question

Write the expression in the standard form a + bi.
-If z = 6 - 6i and w = 7 + 4i, evaluate 
A)13 - 2i 
B)13 + 2i 
C)-1 + 10i 
D)-13 + 2i

Quizplus · Accepted Answer

To evaluate the expression, we can simply add z and w:

z + w = (6 - 6i) + (7 + 4i) = 13 - 2i

So the expression is equal to 13 - 2i. To write this in standard form a + bi, we simply reorder the terms:

13 - 2i = 13 + (-2i)

So the real part a is 13 and the imaginary part b is -2 (since the coefficient of i is -2). Therefore, the answer is A, 13 - 2i.

Write the Expression in the Standard Form a + Bi