Express z 1 = 17 [ cos ⁡ ( π ) + i sin ⁡ ( π ) ] z 1 ​ =17[cos(π)+isin(π)]z, start subscript, 1, end subscript, equals, 17, open bracket, cosine, left parenthesis, pi, right parenthesis, plus, i, sine, left parenthesis, pi, right parenthesis, close bracket in rectangular form. Express your answer in exact terms.

Answers

Answer 1

Answer:

z1 = -17 + 0i

Step-by-step explanation:

Given the complex number z1 ​ =17[cos(π)+isin(π)], we are to express it in rectangular form as shown;

Since cos(π) = -1 and sin(π) = 0, the equation becomes;

z1 ​ =17[cos(π)+isin(π)]

z1 ​ =17[(-1)+i(0)]

z1 = 17(-1 + 0i)

z1 = -17 + 0i

Hence the complex number in rectangular form is expressed as z1 = -17 + 0i


Related Questions

WILL GIVE BRAINLIEST if you spin the following spinners how many outcomes are possible

Answers

Answer: 30 OR C

Step-by-step explanation:

C will be the correct answer! Hope this helps!

Please help! Will mark brainliest!

Based on the graph, which of the following represents a solution to the equation? (4
points)
1) (-2,-3)
2) (2, 1)
3) (1, 2)
4) (-3, 2)

Answers

Answer:

4) (-3 , 2)

Step-by-step explanation:

Answer:

(-3, 2) because if you extend the line to the right more, it'll go directly through that point, but none of the others. also, if you plot the points, you can look at the line to see which point the line would go through

Step-by-step explanation:

10000000000000000000x0 + 111111111111111111111111111111111111111111111111111111

Answers

Answer:

111111111111111111111111111111111111111111111111111111

Step-by-step explanation:

25 points plus brainliest if you get this right

What is the INTERIOR Angle Sum of any polygon?

1.) 540
2.) Depends on how many sides the polygon has.
3.) 360
4.) 2

Answers

Answer:

540

Step-by-step explanation:

Answer:

2. depends on how many sides the polygon has.

Step-by-step explanation:

The sum of the measures of the interior angles of a polygon with n sides is (n – 2)180.

Complete the ratio table.

9 1
18 2
27 3
36
45 5

Answers

Answer:

9:1, 18:2, 27:3, 36:4, 45:5 or 1,2,3,4,5

Step-by-step explanation:

This is the answer because:

1) We can see that eah ratio is being multiplied with the next number. We can say this because 9 x 2 = 18 and 1 x 2 = 2 which is 18:2 just like that 9 x 3 = 27 and 1 x 3 = 3 which makes the ratio 27:3.

2) If we keep on doing this, 9 x 4 = 36 and 1 x 4 = 4 which makes the ratio 36:4.

Therefore, the answer is 4.

Hope this helps! :D

i could really use an explanation of this problem please and thank you

Answers

Answer:

the answer for this is (2,2)

A line passes through the points (4-3) and (0,0). What is the slope of the line?

Answers

Answer:

-0.75

Step-by-step explanation:

Answer:

Its -0.75

Step-by-step explanation:

give brainlest to other guy

EXPLAIN HOW TO PARTITION SHAPES (sorry for caps lock)

Answers

Answer:

Partition shapes is to create equal shares by partitioning one whole area into small same-size areas.

Cameron has 75% as many shirts as her brother. How many shirts does her brother have if Cameron has 9 shirts?
A) 3 shirts
B) 9 shirts
C) 12 shirts
D) 16 shirts

Answers

Your answer is C 12 shirts hope this helped

Identify the number of zeros for each function

P(x) = 8x^2+5-1

Answers

Answer:

2 zeros

Step-by-step explanation:

Here, we want to identify the number of zeros for the function

The number of zeros a particular function has is dependent on the degree of the function

This particular function is quadratic and has a degree of two

So what this means is that it is expected that the function has two zeros

What value(s) of x will make x2 = 16 true?

Answers

Answer:

Step-by-step explanation:

the answer is D

hope this helped :)

write the slope intercept form of an equation for the line passing through the following two points: (-2,8) and (-4,-4)​

Answers

Answer:

y=6x+20

Step-by-step explanation:

m= y2-y1/x2-x1

m= -4-8/-4-(-2)= 12/-2= 6/1

y= mx+b

y= 6x+b

8= 6(-2)+b

8=-12+b

+12  +12

b= 20

y=6x+20 is the slope intercept form.

Expand and simplify 5(3x+2)-2(4x-1)

Answers

Answer:

15x+10-8x+2

7x+12

Step-by-step explanation:

Answer:

7  x  +  12

Step-by-step explanation:

Pls help, The graph of a proportional relationship contains the point (20, 4) .

What is the corresponding equation?

Enter your answer as a fraction in simplest form by filling in the boxes.

y = ?/? x

Answers

Answer:

y = 1/5 x

Step-by-step explanation:

Answer:

1

--

5

Step-by-step explanation

Can you give jasmynpurifoy branliest

Which equation represents the vertical line passing though (1,-9)

Answers

Answer:

x=1

Step-by-step explanation:

To get the vertical line you leave out the y. Since it goes up in all y's, and then you only need the 1 for the x. easy peasy once you know what it is.

Find the measure of side JK

Answers

Answer:

In ΔIJK, the measure of ∠K=90°, JK = 90 feet, and KI = 54 feet. Find the measure of ∠I to the nearest tenth of a degree.

Step-by-step explanation:

i need help plz welp me

Answers

Answer: -4

Step-by-step explanation:

I used a calculator

Answer:

H. -4

Step-by-step explanation:

You just have to add the 4 scores together.

-2 - 4 - 1 +3

-7 + 3 = -4

An online bookstore sells all paperback books for "x" dollars each. Aidan bought 7 paperback books and spent $3.95 on shipping. Nina bought 11 paperback books and spent $5.25 on shipping. What expression represents the total amount that Aidan and Nina spent?

Answers

Answer:

Aidan: 7x + 3.95 = y

Nina: 11x + 5.25 = y

A person walked x feet and half that length again

Answers

Answer:

3/2x

Step-by-step explanation:

x feet and half x = x+1/2x or 3/2x

Hope this helps plz hit the crown :D

In Louisville, 40% of the population is female and 60% are males. 36% of Louisville's population is under 18. The ratio of males to females who are under 18 is 2:1. If there are 1,176 males who are under 18, what is the population of females who are over 18.

Answers

Answer:

1411 females

Step-by-step explanation:

Given that:

Male population = 60%

Female population = 40%

36% of total population are under 18

Ratio of male to female under 18 = 2 : 1

Males under 18 = 1176

Females over 18 =?

The population of females under 18:

If males under 18 = 1176

Then female under 18 = 1176 / 2 = 588

Hence number of population under 18 = (1176 + 588) = 1764

1764 = 36% of the entire population

Hence, (100 - 36)% = 64% of the entire population are over 18

1764 = 0.36

x = 0.72

x = (0.72 * 1764) / 0.36

x = 3528

Hence, 40% of the population above 18 are female

0.4 * 3528 = 1411.2

= 1411 females are over 18

evaluate the expression when x = 3/4. 1 /5 x answer in simplest form

Answers

Answer:

i dont know what you are asking, make your question more readable and clear

Step-by-step explanation:

what is the domain and range of this linear equation 6x+12y=48​

Answers

Answer:

(-infinity, infinity)

(-infinity, infinity) ... for both graph below

Step-by-step explanation:

12. You are at a carnival and you can spend no more than $15 on games. If you spent $8.75 already, how much money do you have left to spend? Write an inequality and solve.​

Answers

15-8.75= 7.25

That is the answer

8.75+x (less than or equal to sign) 15

8.75 is the amount you already spent
x is the amount you have left to spend
15 is the total number you can spend

Given 2x (x + 1) - 3 (x + 1), what can be done to simplify for factoring?
A.
Subtract 2x.
B.
Factor out (x+ 1).
C.
Add 3.
D.
Multiply by (x + 1).

Answers

Answer:

Im not sure but i think its b

How much interest is earned on $300 at 6% for six years?

Answers

Answer:

125

Step-by-step explanation:

Answer:

about 125

Step-by-step explanation:

you would get 425-300 get you 125

Which number sentence is true?
A. -1/12 times 6/7 = -1/14
b. -1/12 times (-6/7)= -1/14
c. 1/12 times 6/7 = -1/14
d.1/12 times (-6/7) = 1/14

Answers

Answer:

We conclude that:

[tex]-\frac{1}{12}\cdot \frac{6}{7}=-\frac{1}{14}[/tex]

Hence, option (A) is true.

Step-by-step explanation:

Let us solve the expression

-1/12 times 6/7 = -1/14

Let us solve the L.H.S to check whether it becomes equal to R.H.S

[tex]-\frac{1}{12}\:\times \frac{6}{7}[/tex]

Factor the number: 12=6×2

[tex]-\frac{1}{6\cdot \:2}\cdot \frac{6}{7}[/tex]

Cross - cancel the common factor

[tex]-\frac{1}{2}\cdot \frac{1}{7}[/tex]

[tex]\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{a}{b}\cdot \frac{c}{d}=\frac{a\:\cdot \:c}{b\:\cdot \:d}[/tex]

[tex]-\frac{1\cdot \:1}{2\cdot \:7}[/tex]

Multiply the number: 7×2 = 14

[tex]-\frac{1}{14}[/tex]

Therefore, we conclude that:

[tex]-\frac{1}{12}\cdot \frac{6}{7}=-\frac{1}{14}[/tex]

Hence, option (A) is true.

Answer:

a

Step-by-step explanation:

the rectangular post shown at the right measures 2w-30 by w. the poster has an area of 5400 cm^2. what is The value of w ?

Answers

Step-by-step explanation:

w(2w - 30) = 5400

2w²- 30w = 5400

2w² - 30w - 5400 = 0

(w - 60 ) ( w + 45 ) = 0

w= 60 w= - 45

only take the positive value

therefore w = 60

Jerry is a judge. he hears 5 cases every 2 3/8 hours how many cases does he haer per hour

Answers

Answer:

2 2/19

Step-by-step explanation:

5 cases in 2 3/8 hours

The unit rate of cases per hour is calculated by dividing the number of cases by the number of hours.

5/(2 3/8) = 5/(19/8) = 5 * 8/19 = 40/19 = 2 2/19

Answer:

2 2/19 cases per hour

Step-by-step explanation:

5 ÷ 2 3/8

~Turn the fraction on the left into an improper one

5 ÷ 19/8

~Copy Dot Flip

5/1 * 8/19

~Multiply

40/19 or 2 2/19

Best of Luck!

WILL MARK BRAINLIEST!!!! BRAINLIEST!
Write 206 in base 7

Answers

206 in base 7? jndjd

Answer:

104

Step-by-step explanation:

if A # B means the same thing as 2 A- B, then 1 # ( (2 # 3 ) # 4) equals:

Answers

By definition of #,

2 # 3 = 2•2 - 3 = 4 - 3 = 1

(2 # 3) # 4 = 1 # 4 = 2•1 - 4 = 2 - 4 = -2

1 # ((2 # 3) # 4) = 1 # (-2) = 2•1 - (-2) = 2 + 2 = 4

The 1 # ( (2 # 3 ) # 4) equals to 4.

Given that,

if A # B means the same thing as 2 A- B.

Based on the above information, the calculation is as follows:

By definition of #,

= 2 # 3

= 2(2) - 3

= 4 - 3

= 1

Now

=(2 # 3) # 4

= 1 # 4

= 2(1) - 4

= 2 - 4

= -2

Now

=1 # ((2 # 3) # 4)

= 1 # (-2)

= 2(1) - (-2)

= 2 + 2

= 4

Learn more: brainly.com/question/16911495

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