simplify ( 1 - i ) ( 1 - i ) or ( 1 - i ) ^ (2)​

Answers

Answer 1

Answer:

-2i.

Step-by-step explanation:

( 1 - i ) ( 1 - i )

= 1(1 - i) - i(1 - i)

= 1 - i - i + i^2

Now i^2 = -1 so we have:

1 - 2i - 1

= -2i        


Related Questions

The prime factorization of 100 is 4 X 25. Show a
factor tree!


Answers

Answer: hope this helps

Step-by-step explanation:

100
/ \
4 25
/\ /\
2,2 5,5

PLEASE HELP!!
Find the missing side lengths. Round decimals to the nearest tenth.

Answers

Answer: 36.2

Step-by-step explanation:

Write the equation of a cubic function f(x) that has zeros x = –3, x = –1 and x = 2. Please show work

Answers

Answer:

  f(x) = (x +3)(x +1)(x -2)

Step-by-step explanation:

When 'a' is a zero of a polynomial function in x, the binomial (x -a) is a factor of the polynomial.

__

The three zeros give rise to a polynomial with three factors:

  f(x) = (x -(-3)) · (x -(-1)) · (x -2)

  f(x) = (x +3)(x +1)(x -2) . . . . . your cubic function

__

This can be expanded using the distributive property.

  f(x) = (x² +4x +3)(x -2) = x³ +4x² +3x -2x² -8x -6

  f(x) = x³ +2x² -5x -6 . . . . . standard form

the circus arts program is one of the most popular activities at camp lohikan. it brings a level of excitement and enthusiasm to the camp experience that cant be found at home or in school. a circus artist is climbing a 20m long rope, which is tightly stretched and tied from the top of a vertical pole to the ground such that the angle made by the rope with the ground evel is 30 degree
i) find the height of the pole in the above situation.
ii) in the above situation, if the height of thepole is 3m and the length of rope is 6m then find angle ACB

Answers

Answer:

hi bro your classmate aleef here

Step-by-step explanation:

hi

find the volume and the surface area of the shape

Answers

Answer: 192 is the volume of the shape

Step-by-step explanation: multiply the base area which is 6 and 8 equals to 48 and times the height so 48 Times 12 Equals 576. Sorryyy I don't know the surface area . Divide by 3 equals to 192

each row describes a proportional relationship between the number of pounds of tomatoes used and the number of pints of tomato juice produced. complete the table by writing the constant of proportionally for each situation.

Answers

Considering the table given, the constant of proportionality of the proportional relationship is of k = 0.8.

What is a proportional relationship?

A proportional relationship is a function in which the output variable is given by the input variable multiplied by a constant of proportionality, that is:

y = kx

In which k is the constant of proportionality.

Researching the problem on the internet, the set of values is as follows: (4,5), (8,10), (12,15), ...

Hence the constant is given by k = 4/5 = 8/10 = 12/15 = ... = 0.8.

More can be learned about proportional relationships at https://brainly.com/question/10424180

The pounds of tomatoes and the pints of tomato juice illustrates a proportional table

The constant of proportionality of the table is 1.25

How to determine the constant of proportionality?

From the complete question, we have the following value

(x,y) = (4,5)

The constant of proportionality for a proportional table is calculated using:

y = kx

Make k the subject

k = y/x

So, we have:

k = 5/4

Evaluate

k = 1.25

Hence, the constant of proportionality of the table is 1.25

Read more about constant of proportionality at:

https://brainly.com/question/1835116

what is complement of cot 30°?​

Answers

Step-by-step explanation:

cot ( 90⁰ - 30⁰ )

cot (90 - √3)

√3 - 90

Six more than the product of 24 and Carlos's savings ​

Answers

Answer:

24c + 6

Hope This Helps! :) Please Give brainliest if This does help you!

find the vertex for the function:
y = 6(x + 3)^2 - 1

Answers

Answer:

The vertex would be (-3, -1)

Step-by-step explanation:

Since this is in vertex form already, a(x-h)^2+k  where h is the x value of the vetex, and k is y.

We would take the opposite of +3 and get -3, which gives us our x cordinate.

We don't change the k value, so it just stays -1, giving us our y value.

Therefore, the vertex is at (-3, -1)

Hope this helps!

Can anyone pls draw the reflected shape for the middle one the lines are mirror lines 50 points for this

Answers

Step-by-step explanation:

All drawn are correct except the middle one you need to draw down the shape size of given parallelogram

Just count the diagonal from each of the to the line and draw the points

The number of visitors to a website in the first week is 40. The number of visitors each week is double the number of visitors the previous week. What is the total number of visitors to the website in the first 8 weeks? Show your work.

Answers

For example, in the second week is
40 x 2 = 80.
In the third week, 40 x 2^2 = 160
So, In the eight week it is 40 x 2^7 = 5120.

GIVING BRAINLIEST AND 50 POINTS!! What is the mode of the data represented in this line plot?


Enter your answer in the box.

Answers

Answer:

3

Step-by-step explanation:

The mode is the most repeated data in the set.

According to the graph, the most repeated number is 3. There are four of 3's, three 2's and 4's and two 2's.

The mode is 3.

Answer:I DID IT FROM OFF OF k12 and it was right its 3

Step-by-step explanation:

Ramesh lent a loan of Rs 1800 to Suresh at a rate of interest for 2 years. At the end of period Suresh refunded him a total of Rs 2232. At what rate of interest had Ramesh lent the loan? Ans: 12%

Answers

Answer:

12%

Step-by-step explanation:

Simple interest formula:  A = P(1 + rt)

where:

A = final amountP = principalr = interest rate (in decimal form)t = time (in years)

Given:

A = Rs 2232P = 1800t = 2

Substitute given values into the formula and solve for r:

⇒ A = P(1 + rt)

⇒ 2232 = 1800(1 + r · 2)

⇒ 1.24 = 1 + r · 2

⇒ 0.24 = 2r

⇒ r = 0.12

Convert into percentage:

0.12 = 12/100 = 12%

PLSSSSS HELP, PLS HELP, WILL MARK BRIANLIEST IF YOU HELP!!!!!

Answers

Answer:

the answer is B.

Step-by-step explanation:

What is the great number to start on 3x+1?​

Answers

Answer: 0

Step-by-step explanation:

0 generally is our starting number since it's our y intercept on the graph, so it's most likely a point where you can start graphing.

Please help! You can do ittt! Offering brainliest+ 20 points!

Answers

Answer:   question 9      is     3/12

Step-by-step explanation:

How many 5-digit numbers contain at least one 3?

Answers

Answer:

37,512

Step-by-step explanation:

Total # of  5 -digit numbers  =9×104=90,000

Total # of  5 -digit numbers that do not contain  3=8×94=52,488

Total # of  5 -digit numbers that contain at least one  3=90,000−52,488=37,512

Can you explain how you got your answer?

Answers

what is the context?

h(t)=50− 5th, left parenthesis, t, right parenthesis, equals, 50, minus, start fraction, t, divided by, 5, end fraction
h(35)=h(35)=

Answers

Answer:

H(t) = 50 - t/5

h(35)=50-35/5

=50-7

=43

h(35) = 43

A rectangular field has a perimeter of 300m. What is the area of the field if the length of the field is twice the width of the field

Answers

Answer:

5000 square meters

Step-by-step explanation:

Create a rectangle and use any variable to lable it.

I used c and I know that the length is twice the width, so I added "c" for both widths and "2c" for both lengths.

Count the number of c's up and you will get 6.

Divide 300/6 to get the value for c.

You get 50 for c, so plug it in for the length 2(50) or 100, and plug it in for the width or 1(50).

Now that you have the length and width of the triangle, use length times width to find the area.

100x50=5000

The first four terms of a geometric sequence are 2, 6, 18 and 54.
What is the 8th term?

Answers

Answer:

take a common ratio which is 3 then from general thterm of G.P whose Gn=G1r^n-1 then G8=2×3^7=2×2187=4374 therefore G8=4374

Find the error in the calculations below, if there is one:
Line (1): -5 ≤ 2x +7<9
Line (2):-12 ≤ 2x < 2
Line (3): -6 ≤ x < 1
Line (4):
-6
1
The error ocurred from Line (1) to Line (2).
O The error ocurred from Line (3) to Line (4).
There are no errors.
O The error ocurred from Line (2) to Line (3).

Answers

There are no errors.

what’s the volume 9m,8m,9m

Answers

Answer:

9 x 8/2 = 36  l     36 x 9 = Volume

Step-by-step explanation:

we know base is a triangle to to find volume is area of the base times the height and on the right side of the figure, (look at photo) the height is 9 so just do 36 times 9 to get the volume.


hope this helps :D have a good night!

The diagram shows the shape of Jane's backyard find the area of Jane's backyard.

Answers

Answer:

1065 square feet

Step-by-step explanation:

seperate the composite shape into two rectangles:

Calculate the area of shape 1:

A=bh

To get the base 55-20= 35

35x15 = 525


calculate the area for shape 2:

A=bh

20x27 = 540


525+540= 1065

Answer:

1065 square feet

Step-by-step explanation:

Area of backyard

Left rectangle + Right rectangle27 x 20 + 15 x (55 - 20)540 + 15 x 35540 + 5251065 square feet

Please answer this with an explanation

Answers

Answer:

64   <====  I don't see the correct answer listed

Step-by-step explanation:

Max will occur in month x given by  - b/2a =  - 32/ (2 * -16) = 1

  plug this 'x'  month in to find the max value v

=  64

PLS HELP FOR BRAINLY

Answers

Answer:

B

Step-by-step explanation:

Hope this helped and brainly please

Is this a right triangle?

Answers

Answer:

Yes

Step-by-step explanation:
Use the Pythagorean theorem (a^2 + b^2 = c^2) to find out if the hypotenuse (20 cm) squared is equal to the sum of the other two sides when squared. This will determine if it is truly a right triangle.

[tex]12^{2} +16^{2} =20^{2}[/tex]
[tex]144 + 256 = 400[/tex]
[tex]400 = 400[/tex]

The triangle is indeed a right triangle.

The sum of my digits is 14 and I am odd. I am less than 3/5 of 160. I am greater than 104 - 12 x 4 + 23.​

Answers

Answer:

95 assuming this is one number

Step-by-step explanation:

3/5 of 160 is 96

04 - 12 x 4 + 23 is 79

it is greater than 79 and less than 96

79 < x < 96

now find numbers between these 2 numbers that have digits adding to 14.

8+6 and 9+5

The problem included that the number must be odd and so the answer is 95

Find the length of the third side. If necessary, round to the nearest tenth
Pythagorean Theorem (Rounding)

Answers

Answer:

8

Step-by-step explanation:

[tex]a^2+b^2=c^2\\a^2+6^2=10^2\\a^2+36=100\\[/tex]

subtract 36 from each side

[tex]a^2=64\\\sqrt{a^2=64}\\a=8[/tex]

or you could recognize the 3-4-5 Pytagorean triple, as the ratio is doubled.

The answer for this question is 8


Let me know if you need explain

A guy wire runs from the top of a cell tower to a metal stake in the ground. Marques places a 11-foot tall pole to support the guy wire. After placing the pole, Marques measures the distance from the stake to the pole to be 3 ft. He then measures the distance from the pole to the tower to be 22 ft. Find the length of the guy wire, to the nearest foot.

Answers

The Pythagorean theorem computed shows that the length of the guy wire, to the nearest foot, is 207 ft.

How to solve the length?

Here, we have two similar right triangles, ΔABE and ΔCDE.

CD = 11 ft

DE = 2 ft

BD = 35 ft

First, find AB:

AB/11 = (35 + 2)/2

AB/11 = 37/2

Cross multiply

AB = (37 × 11)/2

AB = 203.5 ft

Then, apply Pythagorean Theorem to find AE:

AE = √(AB² + BE²)

AE = √(203.5² + 37²)

AE = 207 ft

Therefore, the length of the guy wire is 207 ft.

Learn more about Pythagorean theorem on:

brainly.com/question/654982

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