If (x + yi) + (2(x + yi) + 3i) = 9, what is x + yi?
a.
3 − i
b.
-3 + i
c.
-3 − i
d.
3 + i
e.
9 − 3i

A.

Step-by-step explanation:

Given the complex number expression;

Expand:

Group similar expressions;

Simplify

Solve for ;

Divide through by 3;

the 2 figures are congruent bc if you reflect abcd over the y axis then over the d axis the figures overlap

options a,b,c are the right answer.

step-by-step explanation:

a linear parent function is always represented as y = x

if we write this function in the form of y=mx+c

⇒

or  

now if we plot a graph we will find these characteristics:

1) y intercept of the graph is zero so its a straight line passing through origin.

2) as we can see in both the forms of function written, values of x and y may be either positive or negative for the positive slope means points on the graph are either in first quadrant or in third one.

3) it's slope is one.