(6 - i)(6 + i) multiplying complex numbers​

Answers

Answer 1

Answer:

[tex](6 - i)(6 + i) \\ = (36 + 6i - 6i - {i}^{2} ) \\ = 36 - {i}^{2} \\ = 36 - ( - 1) \\ = 36 + 1 \\ = 37[/tex]


Related Questions

Jessie borrowed $1800 from the bank at a rate of 7.5% simple interest per year. Over the course of 4 years, how much interest did he pay?

Answers

$540
Explanation:
7.5% of 1800 is 135
135 • 4 = 540

Type the correct answer in each box. Use numerals instead of words. If necessary, use/for the fraction bar. Consider the given table.

Answers

Answer:

The ? represents the number 38 because the average rate of change on every interval of the function is 3

Step-by-step explanation:

Firstly, we calculate the average rate of change over a function can be calculated using the formula below;

f(b) -f(a)/(b-a)

Now, over the interval [-2,2]

we have;

(17-5)/(2/(-2)) = 12/4 = 3

This is expected to be the blanket average rate of change

Thus, we have it that over the interval [5,9]; we have;

3 = f(b) - 26/9-5

3 = f(b) - 26/4

4(3) = f(b) - 26

12 = f(b) - 26

f(b) = 12 + 26

f(b) = 38

London is going to invest $8.8oo and leave it in an account for 10 years.
Assuming the interest is compounded continuously, what interest rate, to the
nearest hundredth of a percent, would be required in order for London to
end up with $13.400?

Answers

Answer:

k = 0.04205029854

k = 4.205029854%

Step-by-step explanation:

13400 = 8800(e)^10(k)

ln 1.52 = 10k ln e

(ln 1.52)/ 10 = k

Answer:

The interest rate would be 4.21%

first 5 terms in a number sequence

0.5 1 2 4 8

A) write down the term to term rule

b) 7th term of sequence

c) why cant 1527 be a term of the sequence

Answers

Answer:

Here we have the sequence:

0.5, 1, 2, 4, 8,...

A) we want to write the term to term rule.

We can see that each term is twice the one before, like:

2*0.5 = 1

2*1 =  2

2*2 = 4

2*4 = 8

etc.

So the term to term rule is just:

n-th term equals twice the previous term, or:

[tex]A_n = 2*A_{n-1}[/tex]

b) We can just construct the 7th term with the known ones:

We know that:

A₅ = 8

A₆ = 2*A₅ = 2*8 = 16

A₇ = 2*A₆ = 2*16 = 32

A₇ = 32

c) As each term in our sequence (unless for the first two ones) is a multiple of 2, we know that no odd number can be a term of this sequence.

1527 is an odd number, so this number can not be in the sequence.

help please hurryyyy!!! help pls hurry

Answers

Answer:

3 is 18

4 is 14

5 is 10

6 is 6

I hope this helps

The second of the three numbers is 4 times the first the third is 2 more than the second. If the second number is decreased by twice the third the result is 28 what are the three numbers

Answers

Answer:

the three numbers = -8, -32, -30

Step-by-step explanation:

let the first number = a

let the second number = b

let the third number = c

From the first statement:  b = 4a

From the second statement: c = b + 2

From the third statement: b - 2c = 28

From the above equations, we can solve (1) and (2) together.

c = b + 2

b = c - 2

Also, b - 2c = 28

(c - 2) - 2c = 28

c - 2 - 2c = 28

-c = 30

c = -30

b = -30 - 2

  = -32

b = 4a

a = b/4

a = -32/4

a = -8

Therefore, the three numbers = -8, -32, -30

You pick a card at random.
6 7 8 9
What is P(9)?
Write your answer as a fraction or whole number?

Answers

Answer:

1/4

Step-by-step explanation:

There are 4 cards

P(9) = number of 9's / total cards

      = 1/4

Assuming there are only four cards, and each card has the number from the list given, the value of P(9) is 1/4. This is because there is one card we want out of 4 total.

Answer:  1/4

Line A and Line B are
perpendicular lines.
If the slope of Line
A is 4/5, what is
the slope of Line B?

Answers

Answer:

C

Step-by-step explanation:

Given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{\frac{4}{5} }[/tex] = - [tex]\frac{5}{4}[/tex] ← slope of line B

The answer is

-5/4

this is dude to the slip being perpendicular which means that Line B will be the opposite reciprocal to Line A.

Line A=4/5
Line B=-5/4

You gave one third of a pan of brownies to Sally and one sixth to Fletcher. What fraction of the pan of brownies remained? Write your answer as a proper fraction.

Answers

Answer:3/6

Step-by-step explanation:

1/3 is 2/6,

2/6 + 1/6= 3/6(obviously)

I also need help with this one

Answers

the right one is correct

Answer:

2nd option, it would look like the 2nd option

Step-by-step explanation:

Dont answer this ever

Answers

give me a good reason why i shouldn’t
Answer answer answer

What is 2√54 + 5√24 in simplified radical form?
Enter your answer.

Please explain. :)

I really hope this question doesn’t get removed again or please tell me why it got removed.

Answers

Steps:

[tex]2\sqrt{5}\cdot \:4+5\sqrt{2}\cdot \:4[/tex]

[tex]\mathrm{Multiply\:the\:numbers:}\:2\cdot \:4=8[/tex]

[tex]=8\sqrt{5}+5\cdot \:4\sqrt{2}[/tex]

[tex]\mathrm{Multiply\:the\:numbers:}\:5\cdot \:4=20[/tex]

[tex]=8\sqrt{5}+20\sqrt{2}[/tex]

[tex]Answer = =8\sqrt{5}+20\sqrt{2}[/tex]

Answer:

21√6

Step-by-step explanation:

Here we are to combine 2√54 and 5√24, and want to find any factor that these two quantities may have in common.

2√54 can be factored:  2√54 = 2√9√6, or 2[√6√9], or 6√6

Similarly, 5√24 =5√6√9, or 15[√6]

These two results can and should be added together:  7*3√6 = 21√6

PLEASE HELP THIS IS THE LAST ONE!!!!!

Answers

Answer:

27%

Step-by-step explanation:

There are 60 cars. 16/60 is 27 percent rounded.

Help plz..And No links!! I repeat No links!!

Answers

Answer:

From the Table...

Seems Dear Emma saw 4 plums.

She saw 4 Plums I believe.

Explain how to use a graph of the function f(x) to
find f(3).

Answers

The number in parentheses (3) is the x value. Look at the graph and what the y value of the line is at x = 3

In triangle ABC, A = 38° and B = C. Find B.
A)71
B)26
C)142

Answers

Answer:

A) because b=c it is an equlateral triangle.

The interior Angles of a triangle is always equal to 180 .

Therefore 180-38 =142

because B=C

142÷2 =71

Find the product of (x-2) and (3x^2-4x-5)

Answers

Answer:

3x³ - 10x² + 3x + 10

Step-by-step explanation:

multiply 'x' by each term in the second expression:

(x-2)(3x²-4x-5) = 3x³ -4x² - 5x

now multiply '-2' by each term in the second expression:

-6x² + 8x + 10

combine 'like' terms: -4x² + (-6x²) to get -10x²

combine 'like' terms: 8x - 5x = 3x

answer:  3x³ - 10x² + 3x + 10

what is



0.05
+0.82
——————-

Answers

Answer:

0.87

Step-by-step explanation:

Answer:

0.87

Step-by-step explanation:

0.05

+0.82

—0—.8—7———-

just add like regularly but i think you have to line up the decimals

The manager of a home store is buying lawn
chairs to sell at his store. Each pack of chairs
contains 10 chairs. The manager will sell each
chair at a markup of 20% of the wholesale
cost, plus a $2.50 stocking fee.

Answers

Answer:

5$

Step-by-step explanation:

Can somebody help me

Answers

5 (step by step below)

Helppppppppppppppppppppppppppppp!!!!!!!!!

Answers

Answer:

1. Yes

2.i don't know sorry

3. no

4. no

Step-by-step explanation:

1. it is a terminating decimal

2. I don't know sorry

3.it is a repeating decimal

4.itis a repeating decimal

Amber walked 9 miles and 3 hours at this rate how far will she walk in 3 hours

Answers

Answer:

She will have walked a total of 18 miles in another 3 hours, but in just 3 hours, we already know she walked 9 miles in 3 hours.

Step-by-step explanation:

9x2=18

Finding the volume of the sphere

Answers

Answer:

16

Step-by-step explanation:

correct me if im wrong

if iam right follow me heart this answer

carry on learning

yourhelpinghandishereforyou

Answer:

V≈2144.66058

Step-by-step explanation:

V=(4/3)(π)r^3

V=(4/3)(π)(8)^3

V≈2144.66058

Plzz help ill make u brainliest
Matt and Mindy each built a rectangular prism that has a length of 5 units, a width of 2 units, and a height of 4 units. Matt used cubes that are 1 cm on each side. Mindy used cubes that are 1 in on each side. What is the volume of each prism?

Answers

Answer:

Matt’s: 40 cm = 15.748 inches

Mindy’s: 40 in = 101.6 centimeters

Answer:

The volume is 40 cubed inches

Step-by-step explanation:

The prism that Matt built is 5 cm by 2 cm by 4 cm

5 ⋅ 2 ⋅ 4 = 40

The volume is 40 cubed centimeters

The prism that Mindy built is 5 in by 2 in by 4 in

5 ⋅ 2 ⋅ 4 = 40

The volume is 40 cubed inches

Factorise
4a(3a-b)+2b(3a-b)

Answers

Answer:

moi moi on that beat

Step-by-step explanation:

click this link for more information

https://genius.com/Rick-astley-never-gonna-give-you-up-lyrics

Abby can buy an 4-pound bag of dog food for $4.08 or a 9-pound bag of the same dog food for $6.93. Which is the better buy?

Answers

Answer:

$6.93. Because it's 9 pounds and it lasts longer.

Step-by-step explanation:

on square bcde if e is located at (4,-9) and d is located at (10,-5) find the perimeter of the square

Answers

Answer:

8[tex]\sqrt{13}[/tex] units

Step-by-step explanation:

We know that:

P = 4a

We can find one side by distance formula:

a = [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]a = [tex]\sqrt{(10 - 4)^2+(-5+9)^2} = \sqrt{36+16} = \sqrt{52} = 2\sqrt{13}[/tex]

Then the perimeter is:

P = 4*2[tex]\sqrt{13}[/tex] = 8[tex]\sqrt{13}[/tex] units

Need help with this math urgently

Answers

Answer:

(2,5)

Step-by-step explanation:

y= 4x-3

y=-2x+9

-------------------------

 4x-3=-2x+9

6x-3=9

6x=12

x=2

-----------------

y = 4(2)-3

y =8 -3

y=5

(2,5)

Answer:

1st box: 6x - 3 = 9

2nd box: 6x = 12

3rd box: x = 2

4th box: y = 4(2) - 3

5th box: y = 8 - 3

6th box: y = 5

Step-by-step explanation:

Part A-

1) 4x-3 = -2x+9

2) 4x+2x -3 = -2x+2x + 9

3) 6x -3 = 9

4) 6x -3+3 = 9+3

5) 6x = 12

6) 6x/6 = 12/6

7) x = 2

Part B-

1) y=4x-3

2) y=4(2)-3

3) y=8-3

4) y= 5

Therefore, x = 2 and y = 5.

Uh, I think I did this one… good luck ;p

Analia went to Burlington and saw that there was a special price for summer shirts. The first shirt had a price of $10 and every shirt bought after that was only $8. If she spent a total of $75 with this special applied, how many shirts did she end up buying?​

Answers

she bought 8 shirts for $8 + the first shirt for $10 so she bought 9 shirts in total

which function is nonlinear

Answers

Answer:

C, y=2x(x-4)

Step-by-step explanation:

All the other equations can be graphed as lines, but C is the only one that is a parabola (a curve).

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