1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
bagirrra123 [75]
3 years ago
11

If Z= 2+2i, what is z^4?

Mathematics
2 answers:
ira [324]3 years ago
8 0

Answer:

D. 64 (cos(pi)+isin(pi))

Step-by-step explanation:

Put 2+2i into trigonometric form, raise the r value to the power of 4, and multiply the angle value (theta) by 4 to get the equation of z^4. In this case, r was 2(sqrt2), which raised to the 4th power was 64. The angle value was pi/4, which multiplied by 4 was pi. That's how we get the answer:

<u>64 (cos(pi)+isin(pi))</u>. How this helps!

Dimas [21]3 years ago
7 0

Answer:

assume z is equal to 5.

log(z^4/5) equals log(5^4/5) equals log(5^3) equals 2.096910013.

4 * log(5) - log(5) equals 2.096910013.

they give you the same answer.

this means they're equivalent.

Step-by-step explanation:

You might be interested in
What equation is graphed in this figure?
Ksivusya [100]

to get the equation of any straight line, we simply need two points off of it, let's use those two points in the picture below.

(\stackrel{x_1}{0}~,~\stackrel{y_1}{2})\qquad (\stackrel{x_2}{1}~,~\stackrel{y_2}{5}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{5}-\stackrel{y1}{2}}}{\underset{run} {\underset{x_2}{1}-\underset{x_1}{0}}}\implies \cfrac{3}{1}\implies 3 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_2=m(x-x_2) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_2}{5}=\stackrel{m}{3}(x-\stackrel{x_2}{1})

keeping in mind that for the point-slope form, either point will do, in this case we used the second one, but the first one would have worked just the same.

7 0
2 years ago
Maurice made a model of the steel tabletop his model measures 7 inches by 13 inches is the model simular to the original
Levart [38]
The first example has students building upon the previous lesson by applying the scale factor to find missing dimensions. This leads into a discussion of whether this method is the most efficient and whether they could find another approach that would be simpler, as demonstrated in Example 2. Guide students to record responses and additional work in their student materials.
§ How can we use the scale factor to write an equation relating the scale drawing lengths to the actual lengths?
!
ú Thescalefactoristheconstantofproportionality,ortheintheequation=or=!oreven=
MP.2 ! whereistheactuallength,isthescaledrawinglength,andisthevalueoftheratioofthe drawing length to the corresponding actual length.
§ How can we use the scale factor to determine the actual measurements?
ú Divideeachdrawinglength,,bythescalefactor,,tofindtheactualmeasurement,x.Thisis
! illustrated by the equation = !.
§ How can we reconsider finding an actual length without dividing?
ú We can let the scale drawing be the first image and the actual picture be the second image. We can calculate the scale factor that relates the given scale drawing length, , to the actual length,. If the actual picture is an enlargement from the scale drawing, then the scale factor is greater than one or
> 1. If the actual picture is a reduction from the scale drawing, then the scale factor is less than one or < 1.
Scaffolding:
A reduction has a scale factor less than 1, and an enlargement has a scale factor greater than 1.
Lesson 18: Computing Actual Lengths from a Scale Drawing.
8 0
3 years ago
Free points: this is because of all the kindness I have seen on brainly:
const2013 [10]

Answer:

10x10= 100

Step-by-step explanation:

thx for the points

hope you have a wonderful dayyy

3 0
3 years ago
Read 2 more answers
#6 from the paper please
BabaBlast [244]

Answer:

EK = 9

Step-by-step explanation:

x + 11 = -5 + 2x -5 + 2x

x+11 = -10 + 4x

11 = 3x - 10

3x = 21

x = 7

EK =-5 + 2 × 7

EK = 14 - 5

EK = 9

6 0
3 years ago
Read 2 more answers
a bottle of ketchup contains 40 oz of ketchup. How many 1/2 oz servings can you get out of one bottle?
In-s [12.5K]

Answer:

you can get 80 1/2 oz servings.

Step-by-step explanation:

8 0
3 years ago
Other questions:
  • Minus then changes from 115.5 inches tall to 23.1 inches tall. What percent of change is that?
    10·1 answer
  • What is the perimeter, P, of a rectangle that has a length of x + 5 and a width of y − 1?
    13·1 answer
  • A bag of marbles contains 15 blue marbles and 25 green marbles. Which of the following shows the fraction of green marbles in th
    13·2 answers
  • What is the slope of the line that passes through the points (3, 8) and (8, 13) ?(
    11·1 answer
  • Who wants to ft 14?????????
    13·1 answer
  • Sam has 33 DVDs all together, the ratio is 2:8:1, there are 3 types.
    7·1 answer
  • Write the phrase as an expression: 8 less than ten
    12·1 answer
  • In the last year, U.S. car sales of all makes and models have dropped by 16%. Let's say that a car dealer sells 325 cars. If thi
    10·1 answer
  • An express bus and local bus start out at 1rst street together. The express bus stops every 15 blocks. The local bus stops every
    5·1 answer
  • I don't understand this question can someone help me with this please, please explain!! and thank you for the help!! If u dont k
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!