29. Which of the following expressions will result in a real answer after being simplified? Select all that apply.
A. (4+5i)(4-5i)
B. (4+91)(41-9)
C. (3+2i)(3-2i)
D. (2i+5i) (21-3)
E. (312+7i) (312-7i)
F. (3i2+7i)(312+7i)

Answers

Answer 1

Answer: A, B, C, and E

Step-by-step explanation:

If both sides are real numbers, then the product will be a real number.

If in at least one of the sides we have a complex number, then the product will be real if:

The other number is zero.

The other number is the conjugate of the first.

This is when:

Suppose we have a number:

z = a + b*i

The conjugate will be:

w = a - b*i

And the product between them is:

(a + b*i)*(a - b*i) = a^2 + a*b*i - a*b*i + b^2 = a^2 + b^2

Then the options that will have a real answer are:

A. (4+5i)(4-5i) = 4^2 + 5^2 = 16 + 25 = 41

B. (4 + 91)*(41 - 9) = 3040

C. (3 + 2*i)*(3 -2*i) = 3^2 + 2^2 = 9 + 4 = 13

E. (312 + 7i)*(312 - 7i) = 312^2 + 7^2 = 97,393


Related Questions

I need this fast please

Answers

Answer: It is B/Spinner 2

its B! hope this helped! <3

g(x) = x3 - 4
h(x) = x2 + 2
Find h(-2) - g(-1)

Answers

Answer:

11

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Function Notation

Step-by-step explanation:

Step 1: Define

g(x) = x³ - 4

h(x) = x² + 2

h(-2) is x = -2

g(-1) is x = -1

Step 2: Find h(-2) - g(-1)

Substitute:                    ((-2)² + 2) - ((-1)³ - 4)Exponents:                   (4 + 2) - (-1 - 4)Add/Subtract:               6 - (-5)Subtract:                       11

What the equivalent (2×)(5y)(5y)

Answers

Answer:

50xy

Step-by-step explanation:

(2x)(5y)(5y)

~Simplify

(2x)(25y)

~Multiply

50xy

Best of Luck!

A cell phone manufacturer samples cell phones from the assembly to test. She noticed that the number of faulty cell phones in a production run is usually small and that the quality of one day’s run seems to have no bearing on the next day.

a) What model might you use to model the number of faulty cell phones produced in one day?

(write a name of this probability model)


An analysts estimates the mean number of defective cell phones to be 2 per day.

b) What is the probability of having a day with no faulty cell phone in a production run?
(write to 3 decimal places)

c) What is the probability of having a day with more then 3 faulty cell phones in a production run?

probability:

Answers

Answer:

b

Step-by-step explanation:

probability can't be defined

I will GIVE BRAILYEST
Mario has 20 yards to mow this week. By Wednesday, he had mowed 50%or the yards. How many yards had he mowed by Wednesday?
2
5
10
15​

Answers

Answer: 10 yards

Step-by-step explanation: 50% = 1/2

1/2 x 20 = 10

15 yeards mowed by Wednesday

say a number between 1 and 10 if u guss right u get brainlist

Answers

4
i need this to be more than 20 characters long help

Given: f(x) = x - 7 and h(x) = 2x + 3
Write the rule for f(h(x))

Answers

Answer:

2x - 4

Step-by-step explanation:

f(x) = x - 7

= 2x + 3 - 7

= 2x - 4

graph the line whose x-intercept is -6 and whose y-intercept is -7

Answers

9514 1404 393

Answer:

  see below

Step-by-step explanation:

When the intercepts are given, plot those and draw a line through them.

_____

Additional comment

The equation shown with the graph is the equation of a line in "intercept form." It is especially useful in a case like this where the intercepts are given.

i need some help here

Answers

Answer:

the answer above is correct

Answer:

boxes

7

8

58.1

119.7

Step-by-step explanation:

look when u solve this it equals

8.3(7)+7.7(8)=119.7 but it tells u to add 61.6 so u go backwards subtract

119.7-61.6

58.1

just plug in

8.3(7)+7.7(8)=____+61.6

plug in

58.1+61.6

119.7

Which equation is represented by the graph below

Answers

Maybe show the graph.....

3) Luan is borrowing $5000 to buy Sacramento Kings season tickets
for her family. She is planning to pay it back over three years.
She can borrow the money from a finance company at a 6.5% add-on
interest rate for three years or she can borrow it instead from
her credit union, making 36 monthly payments of $164.50. Find the
total amount Luan will have to pay back with each option and the
APR (to the nearest half percent) of each loan.

Answers

Answer:

16000

Step-by-step explanation:

it works bebeaoc usfztbee jdxeevehe ue

Kim performed a transformation on rectangle ABCD to create rectangle A'B'C'D', as shown in the figure below: A(-1,2) B(-1,5) C(-3,5) D(-3,2) A'(-1,-2) B'(-1,-5) C'(-3,-5) D'(-3,-2)
What transformation did Kim perform to create rectangle A'B'C'D? (5 points)
A)Reflection across the y-axis
B)Rotation of 270 degrees counterclockwise about the origin
C)Reflection across the x-axis
D)Rotation of 90 degrees counterclockwise about the origin

Answers

Answer:

C) Reflection across the x-axis.

Step-by-step explanation:

From Linear Algebra we define the reflection across the x-axis is for [tex]P(x,y) =(x,y)[/tex]:

[tex]P'(x,y) = (x, -y)[/tex] (1)

If we know that [tex]A(x,y) = (-1, 2)[/tex], [tex]B(x,y) =(-1,5)[/tex], [tex]C(x,y) = (-3, 5)[/tex] and [tex]D(x,y) =(-3, 2)[/tex], then the reflected points are, respectively:

[tex]A'(x,y) = (-1, -2)[/tex]

[tex]B'(x,y) = (-1,-5)[/tex]

[tex]C'(x,y) = (-3,-5)[/tex]

[tex]D'(x,y) = (-3,-2)[/tex]

In consequence, Kim performed a reflection across the x-axis to create triangle A'B'C'D'. The correct answer is C.

This question is based on the reflection of x- axis. Hence the correct answer is C, reflection across the x-axis.

Given:

Transform  rectangle ABCD to rectangle A'B'C'D',

The vertices of rectangle ABCD is A(-1,2) B(-1,5) C(-3,5) D(-3,2).

The vertices of rectangle A'B'C'D is A'(-1,-2) B'(-1,-5) C'(-3,-5) D'(-3,-2).

We need to determined the transformation that Kim perform to create rectangle A'B'C'D.

From Linear Algebra we define the reflection across the x-axis is for,

P(x,y) = (x,y)

P(x,y) = (x,-y)                                .....(1)

It is given that  A(-1,2), B(-1,5), C(-3,5) and D(-3,2).

Therefore from equation (1)  above point becomes,

A'(x,y) = (-1,-2)

B'(x,y) =(-1,-5)

C'(x,y) =(-3,-5)

D'(x,y) =(-3,-2)

Therefore, It is observe that Kim performed a reflection across the x-axis to create triangle A'B'C'D'. Hence the correct answer is C, reflection across the x-axis.

For further details, please refer this link:

https://brainly.com/question/25095797

What is the equation for the line in slope-intercept form? will give brainliest




Enter your answer in the box.

Answers

Answer:

y = 8x

Step-by-step explanation:

The slope is 8, the y-intercept is 0. The slope-intercept form is written:

y = mx + b

So this situation would be written y =  8x + 0 or just y = 8x.

Hope it helps!

Constructing a frequency distribution for grouped data
Ten cyclists were each asked the distance in miles they biked last week.
Their responses are given below.
Complete the grouped frequency distribution for the data.
In the distribution, the frequency of a class is the number of distances in that class.
(Note that we are using a class width of 5.)
Distance in miles
Distance in miles
Frequency

3
20
6
3
7
8
13
10
18
12
6 to 10
11 to 15
16 to 20 and 1 to 5

Answers

The grouped frequency distribution for the data with the given intervals is 2, 4, 2 and 2 respectively.

Given that, ten cyclists were each asked the distance in miles they biked last week. The distance travelled by 10 cyclists is 3, 20, 6, 3, 7, 8, 13, 10, 18 and 12.

We need to complete the grouped frequency distribution for the data.

What is the grouped frequency distribution?

In this type, the data is arranged and separated into groups called class intervals. The frequency of data belonging to each class interval is noted in a frequency distribution table. The grouped frequency table shows the distribution of frequencies in class intervals.

Now, the frequency distribution for the given intervals is as follows:

That is, for intervals 1 to 5 the frequency is 2.

For intervals 5 to 10 the frequency is 4.

For intervals 11 to 15 the frequency is 2.

For intervals 16 to 20 the frequency is 2.

Therefore, the grouped frequency distribution for the data with the given intervals is 2, 4, 2 and 2 respectively.

To learn more about the grouped frequency distribution visit:

brainly.com/question/4679134.

#SPJ2

pamela ran 7/10 miles on tuesday and 3/8 mile on thursday. How much farther did she sun on tuesday ?

Answers

Answer:

she ran 0.325 more on tuesday then tursday

Step-by-step explanation:

because i know

Definition of dilation in geometry

Answers

Answer:

Geometry

Step-by-step explanation:

the enlargement or shrinking of an image, in where the change depends on a scale factor

Whats the answer to part b and above?

Answers

Answer:

4/5 would be at the 8th line, and 3/10 would be on the 3rd

Step-by-step explanation:

A baker had additional flour at the end of the day. He uses 1/8 of a bucket of flour to bake two cakes. How much flour did he use to make one cake?

Answers

Answer:

0.0625

Step-by-step explanation:

You can convert this into a fraction by entering this into a calc

During final exam weeks, many college students exercise to fuel their study sessions. Data from a recent survey are shown in the Venn diagram. Let M be the event that the student exercises in the morning and let A be the event that the student exercises in the afternoon.

A Venn diagram titled exercise habits. One circle is labeled M, 0.25, the other circle is labeled A, 014, the shared area is labeled 0.37, and the outside area is labeled 0.24.

What is the probability that a randomly chosen college student exercises in the morning or afternoon?

0.37
0.39
0.62
0.76

Answers

Answer:

WARNING! .39 AND .76 IS WRONG.

THE PEOPLE ABOVE ARE INCORRECT.

THE ANSWER IS EITHER .37 OR .62

I believe the correct answer is .62 --> .25 + .37 = .62 . This also makes sense.

(C)

ED2021

The probability that a randomly chosen college student exercises in the morning or afternoon are 0.37.

What is the probability?

Probability refers to a possibility that deals with the occurrence of random events. The probability of all the events occurring need to be 1.

P(E) = Number of favorable outcomes / total number of outcomes

From the given Venn diagram, we see that

Probability that the student exercises in the afternoon

P(A) = 0.14 + 0.37 = 0.51

Probability that the student exercises in the morning

P(M) = 0.25 + 0.37 = 0.61

Now, the probability that a randomly chosen college student exercises in the morning or afternoon

P(A ∩ M) = 0.37

Learn more about probability here;

https://brainly.com/question/11234923

what fraction is equal to 5%​

Answers

Answer:

5/100

1/20

Step-by-step explanation:

Answer: 5/100

Step-by-step explanation:

A table of values of a linear function is shown below.

Answers

Answer:

Slope is -2

y intercept is -3

Equation :y=-2x-3

Step-by-step explanation:

a bowling alley charges $4.00 per game and will rent a pair of shoes for $2.00 for any number of games. The bowling alley has an earnings goal of $400 for the day. write the linear equation.

Answers

Answer:

We need 130 games to reach the goal

Step-by-step explanation:

Twelve of the 28 students in the 6th grade class have a dog. What is the ratio of students who have a dog to the students who do not have a dog? Write this ration in 3 different ways. Then, explain which ratio is greater. Please help​

Answers

Answer:

1:4

Step-by-step explanation:

As, number of students have 12

Which don't, are 28 - 12 = 16

So ratio = 12:16

1:4


Use the balanced hanger diagram to choose the equations
that best represents how to find the mass of the square.
A. 5t = 42
b. x + 27 = 4x + 15
C. 5t = 36
d. x + 15 = 4x + 12

Answers

Answer:jkcv

ijfklgjk

Step-by-step explanation:

vn vvcxkhvxcl

There are 2400 students in a school 45% of them are boys how many boys are in the school

Show your work in the answer

Answers

Answer:

1080 boys

Step-by-step explanation:

2400 x 0.45 = 1080

Choose the diagram that correctly represents the ordered pairs below.
(1,4), (4, -1), (2,3), (-3, 1), (0,-5)

Answers

Answer:

Step-by-step explanation:

Is there a picture

Please give me the correct answer ​

Answers

Answer: Many people assume that because DNA is so small, we can't see it without powerful microscopes. But in fact, DNA can be easily seen with the naked eye when collected from thousands of cells.

When a bunch of dna and I mean thousands of dna squish together we are actually able to see dna

а) 6x = 7y
Can someone help

Answers

Answer:

36  x 2 - 49 y 2

Step-by-step explanation:

6  x (6x) +6 x ( - 7 y ) + 7 y (6x) +7 y ( - 7 y)

PLEASE HELP FAST ILL MARK AS BRAINLIEST!!!!!!

Answers

Answer:

I'm pretty sure it's neither? You need a graph or something for that

Answer:

I think its perpendicular

Step-by-step explanation:

When writing these points on a graph they make a square so when you connect the lines from the coordinates they cross making them perpendicular!

how to solve this? im not sure if i get the correct answer

Answers

Answer:

k = 3.5

Step-by-step explanation:

Area of a rectangle = length × width

Area of the bigger triangle - Area of the smaller triangle = 35 cm²

Thus:

(2k + 6)(k) - (3)(k) = 35 cm²

2k² + 6k - 3k = 35

2k² + 3k - 35 = 0

Factorise

2k² + 10k - 7k - 35 = 0

2k(k + 5) -7(k + 5) = 0

(2k - 7)(k + 5) = 0

2k - 7 = 0

2k = 7

k = 3.5

Or

k + 5 = 0

k = -5

The value of k would be the positive number which is 3.5.

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