Write the product(2+7i)(2-7i) in the form a+bi

Answers

Answer 1

Answer:

53

Step-by-step explanation:

*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^

(2 + 7i)(2 - 7i)

(2 * 2) + (2 * -7i) + (7i * 2) + (7i * -7i)

4 + -14i + 14i + [tex]-49i^{2}[/tex]

4 + [tex]-49i^{2}[/tex]                     ([tex]i^{2}[/tex] = -1)

4 + (-49 * -1)

4 + 49

53.

53 is the result.

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#teamtrees #WAP (Water And Plant)

Answer 2

The product of (2 + 7i) (2 - 7i) in the form of a + bi is 53 + 0i.

What is an imaginary number?

An imaginary number is denoted by i.

The value of i is √-1.

i² = √-1² = -1

We have,

(2 + 7i) (2 - 7i)

We need to write in the form of a + bi.

a + bi

a = real number

b = imaginary part

(2 + 7i) (2 - 7i)

Remove the brackets.

= 2 x (2 - 7i) + 7i x (2 - 7i)

=  4 - 14i + 14i - 49i²

= 4 - 14i + 14i - 49 x -1

= 4 - 14i + 14i + 49

= 4 + 49

= 53

We have only the real part.

So,

The product of (2 + 7i) (2 - 7i) is 53 + 0i.

Thus,

The product of (2 + 7i) (2 - 7i) in the form of a + bi is 53 + 0i.

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Related Questions

does 12/15 and 8\10 have the same value

Answers

Answer:

as 12 and 15 can be divided by 3, I'll simplify it to 4/5 and 8 and 10 can be divided by 2 and it'll be 4/5 so they have the same value, see that by simplifying it

Answer:

yes

Step-by-step explanation:

12 divided by 15 equals 0.8

8 divided by 10 equals 0.8

Sorry my brain is fried...



Help me?




its 1:12 am please help me.... please answer all 4 please

Answers

Answer:

1:D,2

2:B:She found that -3(9) is positive

3:D:Evaluated -2^2 as -4

4:Confused, is there supposed to be supplemental info?

Step-by-step explanation:

Answer:

hey.. hi.. emme.. is this morning??? if it is GOOD MORNING ☺️

Please hlep me l would appreciate it so much l mom going to give me whopping please hlep me am scared

Answers

Answer:

I think it's the first one

Step-by-step explanation:

You can deliver 261
newspapers in 3 hours. How
many newspapers can you
deliver in 8 hours?

Answers

Answer:

261÷3=87

87×8=696

Step-by-step explanation:

Answer:

696 in 8 hours

Step-by-step explanation:

You would start by dividing 261 by three to see how many you can deliver in just one hour, which would be 87 newspapers. Then you would times your solution by 8, which is the hours, and you would get 696 newspapers. :)

Help me with math please

Answers

Answer:

B. 1/6

Step-by-step explanation:

Barton building supplies sword 44 tons of gravel on Saturday and 80 tons of gravel on Sunday. Which amount is closest to the percent increase of gravel from Saturday to Sunday?

Answers

Answer:

I think its 128

Step-by-step explanation:

can you find the slope from (4,5) (9,11)

(please asap)

Answers

Answer:

Step-by-step explanation:

The slope of (4,5)(9,11) is 6/5

Answer:

5/6 or 1 1/5 and pls read explanation

Step-by-step explanation:

ok so the diff between (x,y) and (x,y) is here:

the diff between x and x (4 and 9) is +5. the diff between y and y (5 and 11) is +6.  you take the reciprocal of 5/6 and that is 6/5 or 1 1/5

if y(x)=4x what is x when y(x)=4?​

Answers

Answer:

1

Step-by-step explanation:

y(x)=4x

y(x)=4

<=>4x=4

<=>x=1

what is the scale factor from figure a to figure b?​

Answers

Answer:

4

Step-by-step explanation:

Top side: 10x _ = 40

Left side: 18x _ = 40

Right side: 11x _ =44

All the blanks can be answered with 4. Therefore, your answer is 4.

Hope this helps!

-AxekickNebulite

solve for X 5x(x+3)=x(5x-3)+36

Answers

Answer:

x=2

Step-by-step explanation:

5x(x+3)=x(5x-3)+36

5x^2+15x=5x^2-3x+36

-18x+36=0

36=18x

x=2

For a scale to pass inspection, the scale's reading can vary by at most
0.1% from the actual mass of an object on the scale. A test mass has
an exact mass of 250.00 grams. In what range must the scale's reading
be for the scale to pass inspection?

Answers

Answer:

I think its 249.99 to 250.01

Step-by-step explanation:

The range of the variation for the scale will be 249.75 grams to 250.25 grams.

What is the percentage?

The percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.

Given that for a scale to pass inspection, the scale's reading can vary by at most 0.1% from the actual mass of an object on the scale. A test mass has an exact mass of 250.00 grams.

The variation of the mass will be calculated as:-

Variation = 250 x 0.1% = ( 250 x 0.1 ) / 100 = 0.25

Higher variation = 250 + 0.25 = 250.25 grams

Lower variation = 250 - 0.25 = 249.75 grams

Therefore, the range of the variation for the scale will be 249.75 grams to 250.25 grams.

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i need help please can someone help

Answers

Answer:

1000, 0, 0, 1.

Step-by-step explanation:

MARK ME BRAINLIEST.

Anyone know this problem

Answers

Answer:

38 degrees

Step-by-step explanation:

Alternate Exterior Angles Theorem

solve for the proportion (type integer or simplified fraction)​

Answers

Answer:

b = [tex]\frac{7}{5}[/tex] = 1.4

Step-by-step explanation:

[tex]\frac{2b - 3 }{5}[/tex] = [tex]\frac{b - 2}{15}[/tex]

15(2b - 3) = 5(b - 2)

30b - 45 = 5b - 10

25b = 35

5b = 7

b = [tex]\frac{7}{5}[/tex] = 1.4

Check the answer:

[tex]\frac{2(1.4)-3}{5}[/tex] = [tex]\frac{1.4-2}{15}[/tex]

- [tex]\frac{0.2}{5}[/tex] = - [tex]\frac{0.6}{15}[/tex]

- 0.04 = - 0.04

Please help me what is the increasing interval more than one answer

Answers

Answer: First and second

Step-by-step explanation: I took the test and aced it so i hope this helped!

what’s the percent decrease from 90 to 70 in sales

Answers

Answer:

22%

Step-by-step explanation:

So First we subtract 90 and 70 = 20

Then we divide 20 by 90 = which gives us approximately 0.22 then we turn that into a percent by moving the decimal point 2x to the right.

So In conclusion, the percent decrease is 22%

Remember the formula is:

amount of change ÷ by the original amount

Noah and Diego left the amusement park’s ticket booth at the same time. Each moved at a constant speed toward his favorite ride. After 8 seconds, Noah was 17 meters from the ticket booth, and Diego was 43 meters away from the ticket booth.
WILL GIVE BRAINEST IF YOU TELL ME how can you tell Diego’s is the blue line and Noah’s is the black?

Answers

Answer:

because when Noah was 17 Diego was 43 so his is higher so his would be more upstraight than Noah's

PLEASE HELP THE INFO IS IN THE PICTURE

Answers

Answer:

(g-h)(x) = -x^3 - 4x - 2, so the answer is D.

Step-by-step explanation:

(g - h) = -x^3 - 2 - 4x

(g-h)(x) = -x^3 - 4x - 2

A meat distributor paid $2.75 per pound for hamburger and $4.50 per pound for ground sirloin. How many pounds of each did he use to make 75 pounds of meat mixture that will cost $3.24 per pound?

Answers

Answer:

The number of pounds of hamburger meat = x = 54 pounds.

The number of pounds of ground sirloin = y = 21 pounds

Step-by-step explanation:

Let the number of pounds of hamburger meat = x

the number of pounds of ground sirloin = y

How many pounds of each did he use to make 75 pounds of meat mixture that will cost $3.24 per pound?

x + y = 75...... Equation 1

x = 75 - y

A meat distributor paid $2.75 per pound for hamburger and $4.50 per pound for ground sirloin.

$2.75 × x + $4.50 × y = 75 × $3.24

2.75x + 4.50y = 243

We substitute 75 - y for x

Hence,

2.75(75 - y) + 4.5y = 243

206.25 - 2.75y + 4.5 y = 243

Collect like terms

- 2.75y + 4.5 y = 243 - 206.25

1.75y = 36.75

y = 36.75/1.75

y = 21 pounds

Note

x = 75 - y

x = 75 - 21

x = 54 pounds

Therefore:

The number of pounds of hamburger meat = x = 54 pounds.

The number of pounds of ground sirloin = y = 21 pounds

The Key Club is having a fundraising dinner for charity. The venue that holds a maximum of 500 people will
cost $1000 and it costs $20 per person for the food. The two charity representatives get to attend for free.
Write an inequality and then determine how many people must come to keep costs at most $25 per person.

Answers

Answer:

[tex]\dfrac{\$1000+\$20x}{x} \leq \$25[/tex]

Minimum 200 people other than the 2 charity representatives.

Step-by-step explanation:

Given that:

The venue can hold a maximum of 500 people.

Cost of venue = $1000

Per person cost for food = $20

Two charity representatives get to attend the dinner for free.

To find:

The inequality and to determine how many people must come to keep costs at most $25.

Solution:

Let the number of people attending the dinner = [tex]x[/tex]

Cost of food for [tex]x[/tex] people = [tex]\$20x[/tex]

Total cost = $1000 + [tex]\$20x[/tex]

Cost per person = Total cost divided by Number of people attending the dinner.

As per question statement:

[tex]\dfrac{\$1000+\$20x}{x} \leq \$25\\\Rightarrow 1000+20x\leq25x\\\Rightarrow 1000 \leq 5x\\\Rightarrow x\geq 200[/tex]

Therefore, the answer is:

Minimum 200 people other than the 2 charity representatives should attend the dinner.

(
1
×
10
6
)

(
9
×102)

Answers

Answer:

-812

Step-by-step explanation:

(1×106)-(9×102)

106-918

-812

A number added to 12 and then subtracted by 18 equals 26. what is the number?

Answers

Answer:

it would be 32. you would take your 26 and add 18 then subtract the 12.

Step-by-step explanation:

hope this helps

Answer:

32

Step-by-step explanation:

x+12-18=26

Subtract the numbers 12 and 18

x-6=26

Add 6 to both sides of the equation

x-6+6=26+6

Simplify- Add the numbers thus getting x=32

Find the perimeter of the given figure.
16
16
Plz HURRY

Answers

Answer:

44

Step-by-step explanation:

I think I might be wrong

Answer:

perimeter is 44

Step-by-step explanation:

Kaniyah is making ribbons do school spirit day. Her roll of ribbon is 32 ft. long. For each individual ribbon, she needs 0.64 ft. How many ribbons can she make from her roll?

Answers

Answer 50 is the answer have a good day

Answer:

50 ribbons

Step-by-step explanation:

To find how many ribbons she can make, divide 32 by 0.64:

32/0.64

= 50

So, she can make 50 ribbons from her roll

Need help please due pretty soon

Answers

Answer:

Im going to have to say 8

Step-by-step explanation:

I hope this helps you !

Answer:

B

Step-by-step explanation:

Please help with the question below in the picture

Answers

Answer:

10.5 cm or 1.5 cm

Step-by-step explanation:

Case 1

O in between A and B

OA = 12 cm, OB = 9 cm

Distance between midpoints:

12/2 + 9/2 = 10.5 cm

Case 2

B in between O and A

OA = 12 cm, OB = 9 cm

Distance between midpoints:

12/2 - 9/2 = 1.5 cm

Refer to the table and exercise 11 suppose in the sixth grade 3/4 of the students want a career in either teaching or STEM how many six grade students did not choose a career in teaching or stem

Answers

Answer: where is the table?

Step-by-step explanation:

Answer:

1/4

Step-by-step explanation:

What are the zeros of this function

Answers

There is no picture attached, but zeroes mean x values.

What’s the answer because I don’t know it!??

Answers

Answer: I think it is 1- x = 2, 2 times 2 times 2 times 2 = 16

Step-by-step explanation:

Answer

2^5=32

8²=64

2^4=16

hope this helps!

6000 is what percent of 6046?

I'll explain more if you are confused.

Answers

Answer:

362760%

Step-by-step explanation:

sorry if its wrong, it might have decimals or something but yeah.

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