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.

see attached

step-by-step explanation:

given the function as;

write the equation replacing f(x) with y

form   and fill a table containing values of y with corresponding values of x

you can take a range for   values of x as -3≤x≤3

solving for x=-3

for x=-2

repeat the same procedure to get the values of y for the remaining ,x=-1 to x=3

plot the values of y against values   of x and obtain the following graph

c. 27 units.

step-by-step explanation:

we are told that in circle a, ∠bae ≅ ∠dae.

we can see from our given diagram that in and ;

, as these are radii of our given circle.

therefore, by sas congruence postulate.

hence, side be will be equal to side de as corresponding parts of congruent triangles are congruent. so we can set an equation to find the value of x as:

now let us substitute x=17 in the expression for the length of be.

therefore, length of be will be 27 units and option c is the correct choice.