Find the product of ( - 6 + 3i) and its conjugate.
product =
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Answers

Answer 1

Answer:

45

Step-by-step explanation:

The conjugate of the given is:

( - 6 - 3i)

Find their product:

(- 6 + 3i)( - 6 - 3i) = (-6)² - (3i)² = 36 - 9i² = 36 - 9(- 1) = 36 + 9 = 45

Related Questions

if f(x)=3^x+10 and g(x)=2x-4, find (f+g)(x)

Answers

Answer:

4

Step-by-step explanation:

PLEASE HELP ME WITH THIS ASAP !!

Answers

Answer:

132cm^2

Step-by-step explanation:

SA of square based pyramid:

SA = 2bs + b^2

b = base

s = slant height

-> 2(6)(8) + 6^2

-> 96 + 36

= 132cm^2

Answer:

132

Step-by-step explanation:

[tex]tsa = {a}^{2} + 2al[/tex]

[tex]tsa = {6}^{2} + 2(6)(8)[/tex]

[tex]tsa = 36 + 96[/tex]

[tex] = 132[/tex]

What is the answer for 3(x+9)-4x=11x-13x+23. Is this true or false statement?

Answers

[tex]3(x+9)-4x=11x-13x+23\\<=>3x+27-4x-11x+13x-23=0\\<=>x+4=0\\<=> x= -4[/tex]

Answer: this's true statement.

ok done. Thank to me :>

3x + 27 - 4x = 11x-13x+23
-x+27 = 2x+23
-x+27 = x + 11.5

3 divided by 4 1/2 write in simplest form

Answers

[tex]3 \div 4 \frac{1}{2} \\ = 3 \div \frac{9}{2} \\ = 3 \times \frac{2}{9} \\ = \frac{2}{3} [/tex]

Answer:

[tex] \frac{2}{3} [/tex]

Hope you could get an idea from here.

Doubt clarification - use comment section.

Question Progress
Homework Progress
2111
跟多
I count on in equal steps,
My fourth number is 39, my fifth number is 43.
2
39
43
What is my first number?

Anyone know?

Answers

a_5=43a_3=39

common difference=d=43-39=4

We need first term a

[tex]\\ \sf{:}\dashrightarrow a_5=43[/tex]

[tex]\\ \sf{:}\dashrightarrow a+4d=43[/tex]

[tex]\\ \sf{:}\dashrightarrow a+4(4)=43[/tex]

[tex]\\ \sf{:}\dashrightarrow a+16=43[/tex]

[tex]\\ \sf{:}\dashrightarrow a=27[/tex]

A number decreased by five is six less than twice the number. Find the number. Show work.

Answers

Answer:

The number is 1

Step-by-step explanation:

let the number be n

n-5=2n-6

n-2n=-6+5

-n=-1

n=1

help me plssssssssssssssssssss

Answers

Answer:

Both the median and mean are 13

help!!!! PLEASEEE!!! ​

Answers

Answer:

it is a little blurry I cannot tell what d is

(f+g)(x)
f(x)= x-3, g(x)= 2x+8

Answers

Answer: 13x4+g

Step-by-step explanation:

plot (-7,0) on a graph

Answers

Answer:

To go to (-7,0) on a graph on the x axis go to the left 7 times and plot your point

Step-by-step explanation:

[tex] \: \: \: \: [/tex]

To plot (−7,0) , start at the origin (0,0) and move left 7 units and up 0 units. To plot (7,0) , start at the origin (0,0) and move right 7 units and up 0 units.

hope it helps

In the year 2001, a person bought a new car for $12000. For each consecutive year after that, the value of the car depreciated by 10%. How much would the car be worth in the year 2004, to the nearest hundred dollars? i need this asap

Answers

Answer: $8700.

Step-by-step explanation:

The equation we can use is p  x  r^years.

p is the original value ($12000).

r is our multiplier, it goes down by 10% so our multiplier is 1-0.1 giving us 0.9.

IT is 2001 to 2004 so 3 years so we do r to the power of 3.

So we use 12000 x 0.9^3.

This is equal to 8748, to the nearest 100 dollars its $8700.

−4x − 10x what is the answer??????

Answers

Answer:

-14x

Step-by-step explanation:

Can you help me w this

Answers

x/3-2=6

+2

x/3=8

*3

x=24

x/5+1=5

-1

x/5=4

*5

x=20

Answer:

Step-by-step explanation:

a)

(x / 3) - 2 = 6

add 2 to both sides

x / 3 = 8

multiply both sides by 3

x = 24

b)

(x / 5) + 1 = 5

subtract 1 from both sides

(x / 5) = 4

multiply both sides by 5

x = 20

The library had 201 shelves of books. Each shelf had 12 books. Librarians checked out 809 books to students. How many books does the library have remaining?

Answers

We can multiply 201*12 to figure out how many books the library has. This gives us 2412. 2412 - 809 is 1603.

The library has 1,603 books remaining.

Answer:

Mr. Pham should expect about 45165 books to have no damage or minor damage.

Solve for x, rounding your answer to two decimal places.
х=log,75

Answers

Answer:

x=1.88

Step-by-step explanation:

PLEASE HELP ME WITH THIS! I NEED TO PASS THIS ASAP

Answers

Answer:

The Y-Int. is 60

Step-by-step explanation:

0 marks the x axis, which leads me to believe 60 is the Y-int so (0,60)

5. (5 points) Write the first 5 terms of the sequence if a1 = 9 and an-1 +n

Answers

Answer:

9,4,-1,-6,-11

Step-by-step explanation:

When n = 1: a(1+1) =a(1) +1

                   a(2) = -9 +1

                   a(2) = -8

When n = 2: a(2+1) =a(2) + 2

                   a(3) = -8 + 2

                    a(3) = -6

When n = 3: a(3+1) = -6 + 3

a(4) = -3

hi if you need help you can tell me

Answers

Answer: Nope, im currently doing well right now. Thank you though.

Step-by-step explanation:

Hey, i do. actually i’m not sure if theres a way you can check my questions! but i do. please and thanks you!!

Enter the number that belongs in the green box

Answers

Answer:

8

Step-by-step explanation:

8

Writing
Tammy bought some books. She spent a total of $45 after a discount of S6 off of her total purchase. Each book cost $3. How many books did she buy?
(a) Write an equation that could be used to answer the question above.
First, choose the appropriate form. Then, fill in the blanks with the
numbers 45, 6, and 3. Let b represent the number of books.
X
5
o 16+ = 0
(b) Solve the equation in part (a) to find the number of books.
b = 0

Answers

Answer:

b=17

Step-by-step explanation:

b=(45+6)/3

b=51/3

b=17

she bought 17 books since the original price of evereything was 51 dollars before the discount of 6 dollars.

Find an equation for the line perpendicular to the line 7x−7y=5 having the same y-intercept as x+5y=−6.

Answers

Answer:

x + y = - 1.2

Step-by-step explanation:

7x - 7y = 5 ; y = x - [tex]\frac{5}{7}[/tex] ; the slope is 1 , and slope of ⊥ line is ( - 1 )

x + 5y = - 6 ; y = - [tex]\frac{1}{5}[/tex] x - [tex]\frac{6}{5}[/tex] ; y-intercept is ( - 1.2 )

Equation is y + [tex]\frac{6}{5}[/tex] = - ( x - 0 ) ; y = - x - 1.2 ; x + y = - 1.2

Determine whether each sequence is arithmetic, geometric or neither. Explain.
200, 40, 8,...

Answers

Answer:

Geometric

Step-by-step explanation:

The ratios of the terms are constant

If you have to fly from JFK airport in New York to LAX airport in Los Angeles, you will fly 2,475 miles. If the average amount of time for a plane to fly from JFK to LAX is 5 hours and 30 minutes, what is the average speed that a plane flies on this trip? Include the appropriate units.

Answers

Answer:

450 miles / hour or 201.17 meters/second

Step-by-step explanation:

Speed = distance / time

Distance = 2475 miles

Time = 5 hours and 30 minutes

I will solve this in both miles per hour and meters per second and I am unaware of the appropriate units for your class.

Since 30 minutes = 1/2 an hour, 5 hours and 30 minutes = 5.5 hours

2475 miles / 5.5 hours = 450 miles / hour

1609.34 meters = 1 mile

3600 seconds = 1 hour

450 miles / hour * 1609.34 meters/1 mile * 1 hour/3600 seconds = 201.1675 meters/second (can round to 201.17)

Note that when multiplying, I am simply multiplying the result by 1. Since

1609.34 meters = 1 mile , 1609.34 meters/1 mile = 1 if I divide both sides by 1. Because I multiply by 1, the number is still the same. In terms of the numerator and denominator, I choose which is which by analyzing which units should cancel out. For example, I multiply by 1 hour/3600 seconds because in miles/hour, hour is on the bottom, and hour is on the top in hours/seconds.

PLEASE HELP ASAPPP!!!!!!!! (Also lemme know it you want another 3 questions for brainliest!)

Answers

Answer:

associative

Step-by-step explanation:

8x1=8

no matter how you group it the answer will always be 8

Hey there!

Identity Property FORMULA

Addition Identity Property

a + 0 = a

Multiplication Identity Property

a × b = b × a

Associative Property FORMULA

Addition Associative Property

a + (b + c)

Multiplication Associative Property

a * (b * c) = (a * b) * c

Based on that information we have above… we should say that your answer is most likely: IDENTITY

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Tessa feeds her dog,Roscoe 3 3/4 cups of dog food per day.if she buys a bag of food that contains 165 cups, how many days will the bag last?

Answers

44 days 165 ÷ 3 3/4 = 44

E varies directly with G. When G is 6, E is 10. Find the value of G when E is 18

Answers

Answer: multiply 6 by 3 and 10 by 3

Step-by-step explanation:

G = 10.8

creds to sqdancefan

50% of 70
help! I don’t understand!!

Answers

Answer:

The answer is 35.

Step-by-step explanation:

50% means half of a number.

For example, 50% of 20 is 10, because half of 20 is 10.

In this situation, the number is 70.

Do 70 divided by 2.

The answer is 35.

Answer : 50% can be written as .50, so to get 50% of 70, you just need to multiply 70 by .50.  This will give you 35. (The answer.)

Step-by-step explanation:

Any percent can be written as a decimal.  Move the decimal point two places to the right to convert a percent to a decimal.  For example, 25% to .25 and 50% to .50.  

the sum of three consecutive even numbers is 42. what is the smallest of these numbers

Answers

Explanation :-

Let's assume the lowest integer be x.Then the next integer x+2 (since our integers need to be even) and the third integer x+4.

[tex]\qquad[/tex]____________________

It’s given

The sum of three consecutive even numbers is 42.

[tex] \bf{\underline{\underline{\dag According\ to\ the\ question:-}}} [/tex]

[tex]\qquad[/tex][tex] \pink{\bf\longrightarrow {x+( x +2)+(x+4) = 42} }[/tex]

[tex]\qquad[/tex][tex] \sf \longrightarrow 3x +6 =42[/tex]

[tex]\qquad[/tex][tex] \sf \longrightarrow 3x = 42-6[/tex]

[tex]\qquad[/tex][tex] \sf \longrightarrow 3x =36[/tex]

[tex]\qquad[/tex][tex] \sf \longrightarrow x = \cancel {\dfrac{36}{3}}[/tex]

[tex]\qquad[/tex][tex]\pink{ \bf\longrightarrow x = 12}[/tex] ( which is our lowest integer.)

The smallest of these numbers is 12. And the next two integers we find with 12+2=14 and 12+4=16.

[tex]\qquad[/tex]____________________

Given :

Sum of three consecutive even numbers is 42. We are to find the smallest of the smallest consecutive even number.

[tex] \: [/tex]

Solution :

Let us assume the three consecutive even numbers be "x" , "(x + 2)" and "(x + 4)" . Here x is the smallest number .

So,

According to the Question :

x + (x + 2) + (x + 4) = 42

⇢x + x + 2 + x + 4 = 42

⇢ x + x + x + 2 + 4 = 42

⇢ 3x + 6 ⠀⠀⠀⠀⠀ = 42

⇢ 3x ⠀⠀⠀⠀⠀⠀⠀⠀= 42 - 6

⇢ 3x ⠀⠀⠀⠀⠀⠀⠀⠀= 36

⇢ x ⠀⠀⠀⠀⠀⠀⠀⠀= 36/3

⇢ x ⠀⠀⠀⠀⠀⠀⠀⠀ = 12

Hence, 12 is the smallest consecutive even number.

Find an angle betwwen 0 and 2pie that is coterminal with -19pie/10

Answers

Answer:

π/10

Step-by-step explanation:

α=-19π/10=-19π/10+2π=(-19π+20π)/10=π/10

The diner ordered 144 bagels. The order was for 80% plain 20% sesame bagels. An employee says that the diner should receive 43 sesame bagels. Explain whether the employee’s statement is sense (true) or nonsense (false).

Answers

Answer:

nonsense

Step-by-step explanation:

[tex]144\times0.2=28.8[/tex]

This employees statement is nonsense, as 43 sesame bagels is far more than the 29 they should expect when they order 20% of 144 bagels.

Answer:

it's nonsense. coz a person can't receive 43 sesame Bangles. it is not the actual number of sesame Bangles she should receive.

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