Express your answer in the form (a + bi)

(21 + 2i) + (13 + 8i) =

The answer to your question is   (34 + 10i)

Step-by-step explanation:

Data

            (21 + 2i) + (13 + 8i) =

To solve this operation, just sum up the whole numbers and get a result then, sum up the imaginary numbers and get another result. Finally, write the result.

-Whole numbers            21 + 13 = 34

-Imaginary numbers       2i + 8i = 10i

Result                               (34 + 10i)

34 +10i

Step-by-step explanation:

( 21 + 2i) + (13 + 8i) =

Add the real numbers

21+13 = 34

Add the imaginary numbers

2i+8i = 10i

The complex number is the real plus the imaginary number

34 +10i

step-by-step explanation:

here's what happens:

1) the graph of f   = x^2 is shifted 2 units to the right.

2) the resulting graph is reflected in the x-axis, so that the parabola now opens down.

3) this final result is transformed up by 5 units.

-3

step-by-step explanation:

a drawing really does here:

so i draw the horizontal line y=2 and the vertical line x=-2 at this intersection i put b (this is where my right angle is going to be).   so point b is at (-2,2).   point a is 5 units long and is also on y=2 so this point has to be (3,2) or (-7,2) -doesn't matter i will go with (3,2).

now we know c is at (-2,y) we don't know the y yet bet we know that c is on x=-2.

we have the area of the triangle is .5bh=12.5

we know the base length is 5 (ab)

we have the height is (2-y) if you look at your

plug in

.5(5)(2-y)=12.5

solve for y to get the y-coordinate for c

2.5(2-y)=12.5

divide both sides by 2.5 giving:

2-y=5

now subtract 2 on both sides

-y=3

y=-3