Consider the complex number on the complex plane and the complex number z2 = 6 – 3i. When z1 and z2 are added together, the result moves z1 6 units
and 3 units
.

The real part of z1 + z2 is
.

The imaginary part of z1 + z2 is
i.

See below

Step-by-step explanation:

So, on the complex plane, we see that

Therefore,

Since we added the complex numbers, we can see that the real part of is 8 and the imaginary part of is -2. Remember that complex numbers are written in the form of , so either the real or imaginary part can both be negative.

he used the algebra tiles correctly.

step-by-step explanation:

given : 3x(2x-1)

solution :

since he used algebra tiles .

armando's solution is the same in the solution shown in figure

as he distributed 2x into x and x and wrote them vertically

and also write   -1 vertically

and 3x into x and x and x and wrote it horizontally

performing the multiplication in the algebra tiles we get

and solving the given expression :

3x(2x-1)

since solving the expression using tiles   and solving the expression algebraically we get the same answer

thus   we can choose the first statement as the answer to this problem which is "he used the algebra tiles correctly".