Find the product of each pair of complex conjugates.

(3 + 8i)(3 – 8i) =

Answers

Answer 1

Step-by-step explanation:

By Difference of Squares,

a² - b² = (a + b)(a - b).

=> (3 + 8i)(3 - 8i) = 3² - (8i)²

= 9 - 64i² = 9 - 64(-1) = 73.


Related Questions

tell whether each question is true or false.

a.
[tex] \sqrt[3]{60} = 20 \: true \: or \: false[/tex]
b.
[tex] \sqrt[3]{64} = \sqrt{16 \:} true \: or \: false[/tex]
c.
[tex]25 = \sqrt[3]{125} \: true \: or \: false[/tex]
d.
[tex]12 = \sqrt[]{144} \: true \: or \: false[/tex]
e.
[tex] \sqrt{ \frac{4}{9} } = \sqrt[ 3]{ \frac{8}{27} } \: true \: or \: false[/tex]

Answers

Answer:

E

Step-by-step explanation:

Me sale a mi

Answer:

a is false, b. is true, c. is true, d. is true

Step-by-step explanation:

Simplify or solve the problems
1) 14a+2a=
2) 4x - 7 - 3 =0
3) 6x + 6 - =o

Answers

1. add like terms so 14a + 2a = 16a

2. put variables on side and constants on the other so
4x = 10
x = 5/2

3. I’m confused on this one? Is there supposed to be another number after the subtraction sign ?

PLEASE HELP I RLLY DONT KNOW WHAT TO DO

For the function f(x) = 2x - 9, find the following
a. f(0)
b. f(2)
c. f(-3)
d. f(1/2)

Answers

Answer:

a) f(0) = -9

b) f(2) = -5

c) f(-3) = -15

d) f(1/2)=-8

Step-by-step explanation:

We are given the function [tex]f(x)=2x-9[/tex] and we need to find the following:

a) f(0)

For finding f(0) put x =0 in the given function

[tex]f(x)=2x-9\\Put\:x=0\\f(0)=2(0)-9\\f(0)=-9[/tex]

So, we get f(0)=-9

b) f(2)

For finding f(2) put x =2 in the given function

[tex]f(x)=2x-9\\Put\:x=2\\f(2)=2(2)-9\\f(2)=4-9\\f(2)=-5[/tex]

So, we get f(2)=-5

c) f(-3)

For finding f(-3) put x =-3 in the given function

[tex]f(x)=2x-9\\Put\:x=-3\\f(-3)=2(-3)-9\\f(-3)=-6-9\\f(-3)=-15[/tex]

So, we get f(-3)=-15

d) f(1/2)

For finding f(1/2) put x =1/2 in the given function

[tex]f(x)=2x-9\\Put\:x=\frac{1}{2}\\f(\frac{1}{2})=2(\frac{1}{2})-9\\f(\frac{1}{2})=1-9\\f(\frac{1}{2})=-8[/tex]

So, we get f(1/2)=-8

PLEASE HELP THIS IS TIMED!!!! I WILL GIVE BRAINLIESTTTTTT

The table below represents a linear function f(x) and the equation represents a function g(x):

x f(x)
−1 −3
0 0
1 3
g(x)

g(x) = 7x + 2


Part A: Write a sentence to compare the slope of the two functions and show the steps you used to determine the slope of f(x) and g(x). (6 points)

Part B: Which function has a greater y-intercept? Justify your answer. (4 points)

(10 points)

Answers

Answer

Given: Sorry the images are at the bottom.

To find:

Part A: Write a sentence to compare the slope of the two functions and show the steps you used to determine the slope of f(x) and g(x).

Part B: Which function has a greater y-intercept? Justify your answer.

Solution:

On inspection of values of x and f(x) it is clear that f(x) is a linear function

i.e.

1)Slope of f(x) and y-intercept of f(x):

Convert the function in slope intercept form and calculate the slope.

Slope intercept form:

Here,

Slope of f(x)=1,

y-intercept of f(x)=(0,0)

2) Slope and y-intercept of g(x):

Slope of g(x)=7

Y-INTERCEPT of g(x) =(0,2)

Part A:

Slope of f(x) is 1 and slope of g(x) is 7.

Part B:

g(x) has a greater y-intercept.

Hope it helps you.

(please will someone help me please). write the equation of the line in the graph the two points on the line are located at (0, 3) and (6,-1) multiple choice answers are . Y=3x. Y=1/3x+3. Y=2/3x+3. Y=-6x​

Answers

Answer:

c) y=2/3x+3

Step-by-step explanation:

im pretty sure this is right :)

please help! which expression is equivalent to (-√-1)?
A: i^31
B: i^29
C: i^24
D: i^18

Answers

Answer:

Here Is Your Answer i^31

It is Monday.

/: There is chicken for lunch.

/

Write the inverse in if-then form.

Answers

The proper way to write this sentence would be:

If it is Monday then there is chicken for lunch.

May I have brainliest please? :)

what is the domain of h?

Answers

Answer:

The domain of given function is: [-7,7]

Step-by-step explanation:

Graphs can be used to determine the domain and range of a function.

On a graph, the values across the x-axis are domain and across y-axis are the range.

In the given graph, we can see that the graph starts from x=-7 and ends at x=7. The filled circle at both ends of the graph indicate that the values 7 and -7 are also included in the domain.

Hence,

The domain of given function is: [-7,7]

Elise and Kenji are making presentations for a class project. Elise's slideshow starts with a verbal introduction that is 14 seconds long, and then each slide is left up for 4 seconds. Kenji leaves each slide onscreen for 7 seconds, and his introduction lasts 5 seconds. Elise and Kenji notice that their presentations have both the same number of slides and the same duration. How long is each presentation? How many slides are in each presentation?

Answers

Answer: a class project. Elise's slideshow starts with a verbal introduction that is 14 sec… ... Elise's slideshow starts with a verbal introduction that is 14 seconds long, and then each slide is left up for 4 seconds. Kenji leaves each slide onscreen for 7 seconds, and his introduction lasts 5 seconds. Elise and Kenji ...

Step-by-step explanation: Elise's slideshow starts with a verbal introduction that is 14 seconds long, and then each slide is left up for 4 seconds. Kenji leaves each slide onscreen for 7 seconds, and his introduction lasts 5 seconds. Elise and Kenji notice that their ... slides and the same duration. How long is each presentation? How

Convert 3 weeks to hours. Use a lable.

Answers

Answer: 504 hours.

Step-by-step explanation: I am assuming it says, use a table not a lable.

Well, I can't make a table, so I will tell you where to put everything in a table.

We start with placing one day, one day is 24 hours. One day goes on the top, 24 hours goes on the bottom. Then, we know there are 7 days in a week, so we jump ahead, we multiply 24 by 7 and 1 by 7.

24 x 7 = 168 and 1 x 7 = 7

So for every week, it is 168 hours. Now we need to find three weeks. So we multiply 7 x 3 to get the days. which is 21. Now we need to multiply the hours by  the 3 weeks. So we multiply 168 by 3 which is 504.

So 504 hours are in 3 weeks.

is 11/12 equivalent or greater to 11/13​

Answers

Answer:

[tex] \frac{11}{12} > \frac{11}{13} [/tex]

Step-by-step explanation:

Here , the fraction has same numerators but the denominators are different. Whenever any 2 fractions have same numerator but diffeent denominators , the fraction whose denominator is less is greater than the fraction whose denominator is more.

Here 11 is common in both the numerators but when we talk about denominators , 12 < 13 . So,

[tex] \frac{11}{12} > \frac{11}{13} [/tex]

Verification :-

[tex] \frac{11}{12} = 0.9166666667 = 0.91(appx)[/tex]

[tex] \frac{11}{13} = 0.8461538462 = 0.84(appx)[/tex]

can someone explain because im confused

Answers

Answer:

I'm pretty sure it is yes

Step-by-step explanation:

7/1=7. 14/2=7. 21/3=7. 28/4=7. 35/5=7.

Find the unknown angle measure by solving for the given variable.

Supplementary angles​

Answers

Step-by-step explanation:

Given that,

∠PSQ = 13x+7

∠QSR = 42x+8

We need to find the measure of angles.

We can use the property of linear pair. ATQ,

13x+7 + 42x+8 = 180 (Linear pair)

Taking like terms,

13x+42x = 180 - 7-8

55x = 165

x = 3

So,

∠PSQ = 13x+7 = 13(3) + 7 = 46°

∠QSR = 42x+8 = 42(3) + 8 = 134°

Hence, this is the required solution.

Please just try and help it’s due in 18 mins. I’ll mark brainliest. :)

Answers

16 miles
8 miles less
40 minutes
24 miles

Solve for x.
13(x-3) = 39
X=1
X=4
x=6
x=10

Answers

13 factored out is 13x - 39 add 39 to both sides it equals 13x=78 and 78 divided by 13 is 6 the anwser is x=6

Does the graph in Exercise 33 have a Hamilton path? If

so, find such a path. If it does not, give an argument to

show why no such path exist​

Answers

;

Answer:

there is a graph first step to but I cannot draw it on here but you already have your answer without Step 2

Step-by-step explanation:

a simple path in a graph G that passes through every vertex exactly once is called a path . the graph G has no past because any past containing all vertices must contain one of the edges (e, c) (d, f ) and (B, G) move than once .

Can sum one help pls I don’t understand

Answers

Where is the picture I don't see it

WILL GIVE BRAINLIEST PLS HELP
An action figure is 5 inches tall. If the toy company modeled the action figure off of a TV star that is 6 feet 3 inches tall. What ratio did they use?
A. 15 inches = 1 inch
B. 14 inches = 1 inch
C. 14.4 inches = 1 inch
D. 1.6 inches = 1 inch

Answers

Answer:

a

Step-by-step explanation:

Of the 100 students that were surveyed 36 students say
they were on their phone less than one hour a day. Of the
55 females, 40 use their phone more than one hour a
day. How many males say they use their phone less than
one hour a day?
HELP

Answers

Answer:

15 females say they use their phone less than an hour a day

36 - 15 = 21 males that use their phone less than an hour a day

(equation above is the total number of students that use their phone less than an hour a day, with the 15 females that do being subtracted from it. that will leave the number of males that use their phone less than an hour a day, which is your answer.)

If Sally had six balls and Mark had seven how many balls did he have in all

Answers

Step-by-step explanation:

he had 7 balls

hope he healthy that's a lot of balls to have

Answer:

13 i think 6+7 = 13 yeh yeh

(8+6) -2 x 2 - 3^2 help

Answers

Answer:

Step-by-step explanation: ans is 1

Answer:

1

Step-by-step explanation:

14-2×2-9

14-4-9

10-9

1

Round 8,723 to the nearest thousand

Answers

Answer:

9,000

Step-by-step explanation:

Someone please help me

Answers

Answer:

 1. X:    0, -3

 2. Y:   1, -1

 3. Z:    4, -4

 4. M:   -4, 1

 5. N:    -2, 2

 6. P:    2, 4

 7. Q:    2, 0

 8. R:   -3, -1

Answer:

1. (0,-3)

2. (1,-1)

3. (4,-4)

4. (-4,1)

5. (-2,2)

6. (2,4)

7. (2,0)

8. (-3,-1)

9-17: first photo

18a: second photo

18b. A pentagon.  When you connect the points, the shape has 5 sides

Step-by-step explanation:

What is 151% of 70.Please explain how u did it.

Answers

Answer:105.7

Step-by-step explanation: 1.51 times 70

Answer:

[tex]151\% \: of \: 70 \\ \frac{151}{100} \times 70 \\ \boxed{105.7}[/tex]

105.7 is the right answer.

Maddie's bedroom is rectangular. The length of one wall of Maddie's bedroom is 4 meters. The length from one corner of the bedroom to the diagonally opposite corner is 5 meters. What is the length of the other wall?

Answers

Answer:

The length of other wall is 3 meters.

Step-by-step explanation:

Given that:

Length of one wall = 4 meters

Length of diagonal from one corner to opposite corner = 5 meters

As the room is rectangular, the diagonal will form a right angled triangle.

The diagonal will be the hypotenuse.

Using pythagorean theorem;

[tex]a^2+b^2=c^2[/tex]

Here,

a = 4 and c = 5

[tex](4)^2+b^2=(5)^2\\16+b^2=25\\b^2=25-16\\b^2=9[/tex]

Taking square root on both sides

[tex]\sqrt{b^2}=\sqrt{9}[/tex]

b = 3 meters

Hence,

The length of other wall is 3 meters.

Please help. :))))))

Answers

Answer:

6 because 9 is the length and you only do length times height and 54 divided by 9 is 6 therefore the height is 6

Answer:

6units

Step-by-step explanation:

A=bh

54units^2=9*h

h=54/9

h=6units

[tex]\frac{1}{2} x \frac{3}{4}[/tex]

Answers

I am pretty sure it is0.375

Answer

-10 – (-2) =

Answers

Answer:

8

Step-by-step explanation:

- (-2) is the same as + 2

-10 + 2 = -8

Answer:

-8

Step-by-step explanation:

Since there are two minus sign with the two, make it into plus. There fore the equation is -10+2= -8!

Evaluate
Check all that apply.
2
5
O The exponent is
O The expanded form is
The expanded form is 2x2x2
5
6
15
8
125

Answers

Answer:

a b and e

Step-by-step explanation:

hope this helps

Answer:

it b and e

Step-by-step explanation:

rrrrrrrrrrrrrrr

Which graph represents the solution of the system:

y=3y=2x−1

Answers

Answer:

The second graph

Step-by-step explanation:

Answer: I think it's the 2nd option

Step-by-step explanation: (y=3) on the graph would be right between 4 and 2, going Horizontally across the graph

The (y=2x−1) goes diagonally down the graph: intercepting with the numbers shown on the following question

Also according to my calculations, the line is diagonally on the y intercept just like the second option

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