3 years ago

2+3i divided by 3-3i ( a+bi form)

1 answer:

6 0

$(2+3i):(3-3i)=\frac{2+3i}{3-3i}\cdot\frac{3+3i}{3+3i}=\frac{(2+3i)(3+3i)}{(3-3i)(3+3i)}=\frac{6+6i+9i-9}{3^2-(3i)^2}=\frac{-3+15i}{9+9}\\\\=\frac{-3+15i}{18}=-\frac{3}{18}+\frac{15i}{18}=-\frac{1}{6}+\frac{5}{6}i$

You might be interested in

Which graph represents the function f(x) = −|x − 2| − 1? Image for option 1 Image for option 2 Image for option 3 Image for opti

vesna_86 [32]

Answer:

The graph in the attached figure

Step-by-step explanation:

we have

$f\left(x\right)=-\left|x-2\right|-1$

The function represents an inverted V-shaped graph

The vertex of the function is the point (2,-1)

The y-intercept of the function is the point (0,-3)

The domain is all real numbers -----> (-∞,∞)

The range is all real numbers less than or equal to -1 ----> (-∞,-1]

Using a graphing tool

The graph in the attached figure

4 0

3 years ago

Choose 3 of the following to write using a single, positive exponent: 2^-7, 3^-23, 11^-8, 4^-9, 2^-32, 8^-3. pls, hurry don't ha

kogti [31]

Answer:

1,3 and the last one

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

How many grams of 0.5% hydrocortisone cream must be mixed with 180 g of 2.5 % cream to make a 1 % w/w hydrocortisone cream? HINT

Sophie [7]

Answer:

We need 540 grams of 0.5% hydrocortisone cream

Step-by-step explanation:

Lets call x the amount of grams needed. This means that the combined cream will have 180+x grams. We want x such that

x * 0.005 + 180*0.025 = (180+x)*0.01

Hence

0.005x + 4.5 = 1,8+0.01x

Lets put the x in the same side and take common factor

4.5-1.8 = 0.01x-0.005x

2.7 = (0.01-0.005)x = 0.005x

As a result

x = 2.7*0.005 = 540

We need 540 grams.

3 0

3 years ago

In a scale drawing, the length of a rectangular room is 6 inches, and the width is 3 inches. the actual length of the room is 18

Vlada [557]

Answer:

A: The scale would be x3

B: 4/3

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

What is the simplified form of the expression? (3x 7/2) 6 (x^2)6

adelina 88 [10]

378x^3 , i think thats right.

8 0

4 years ago