Simplify the expression (4 + 5i)(4 − 5i). 16 − 20i 16 + 20i −9 41

Answers

Answer 1

Answer:

41

Step-by-step explanation:

Simplify the following:

(5 i + 4) (-5 i + 4)

Hint: | Multiply 4 + 5 i and 4 - 5 i together using FOIL.

(4 + 5 i) (4 - 5 i) = (4) (4) + (4) (-5 i) + (5 i) (4) + (5 i) (-5 i):

4×4 + 4 (-5 i) + 5 i×4 + 5 i (-5 i)

Hint: | Multiply 4 and 4 together.

4×4 = 16:

16 - 5×4 i + 5 i×4 + 5 i (-5)×i

Hint: | Multiply 4 and -5 together.

4 (-5) = -20:

16 + -20 i + 5 i×4 + 5 i (-5)×i

Hint: | Multiply 5 and 4 together.

5×4 = 20:

16 - 20 i + 20 i + 5 i (-5)×i

Hint: | Combine products of like terms.

5 i (-5)×i = 5 i^2 (-5):

16 - 20 i + 20 i + -5×5 i^2

Hint: | Evaluate i^2.

i^2 = -1:

16 - 20 i + 20 i - 5×5×-1

Hint: | Multiply 5 and -1 together.

5 (-1) = -5:

16 - 20 i + 20 i - 5-5

Hint: | Multiply -5 and -5 together.

-5 (-5) = 25:

16 - 20 i + 20 i + 25

Hint: | Evaluate 16 - 20 i + 20 i + 25.

16 - 20 i + 20 i + 25 = 41:

Answer:  41

Answer 2

Answer:

Cant give as good of as answer like the other person but it is 41!

Step-by-step explanation:


Related Questions

Solve by completing the square.
X^2-2x-15=0 (help)

Answers

Step-by-step explanation:

x² - 2x - 15 = 0

x1 = 5

x2 = -3

the answer to this problem is (5,3)

-2x2 - x + 7 +x2 +4x-5

Answers

Answer:

Need more?

Step-by-step explanation:

-x^2 + 3x + 2

Is this the answer?

Calculate $1200 ÷ 415.00 = answer in weeks. Round your answer up to the nearest whole week.

Answers

Answer:

3 weeks

Step-by-step explanation:

[tex]\frac{1200}{415}\\\mathrm{Write\:the\:problem\:in\:long\:division\:format}\\415\overline{|\smallspace1200}\\\\\mathrm{Divide}\:1200\:\mathrm{by}\:415\:\mathrm{to\:get}\:2\\\\\begin{matrix}\space\space\space\space\space\space\space\space\space\space\space\space\space\space\emptyspace2\space\space\space\space\space\space\space\space\space\space\space\space\\415\overline{|\smallspace1200}\space\space\space\space\space\space\space\space\space\space\space\space\end{matrix}\\[/tex]

[tex]\mathrm{Multiply\:the\:quotient\:digit}\:\left(2\right)\:\mathrm{by\:the\:divisor}\:415\\[/tex]

[tex]\begin{matrix}\space\space\space\space\space\space\space\space\space\space\space\space\space\space\emptyspace2\space\space\space\space\space\space\space\space\space\space\space\space\\ 415\overline{|\smallspace1200}\space\space\space\space\space\space\space\space\space\space\space\space\\ \space\space\space\space\space\space\space\space\space\space\underline{\emptyspace8\emptyspace3\emptyspace0}\space\space\space\space\space\space\space\space\space\space\space\space\end{matrix}[/tex]

[tex]\mathrm{Subtract}\:830\:\mathrm{from}\:1200[/tex]

[tex]\begin{matrix}\space\space\space\space\space\space\space\space\space\space\emptyspace2\space\space\space\space\space\space\space\space\space\space\space\space\\ 415\overline{|\smallspace1200}\space\space\space\space\space\space\space\space\space\space\space\space\space\\ space\space\space\space\space\space\underline{\empty\space8\empty\space3\emptyspace0}\space\space\space\space\space\space\space\space\space\space\space\space\\ \space\space\emptyspace3\emptyspace7\emptyspace0\space\space\space\end{matrix}[/tex]

[tex]\mathrm{The\:solution\:for\:Long\:Division\:of}\:\frac{1200}{415}\:\mathrm{is}\:2\:\mathrm{with\:remainder\:of}\:370\\\\2\quad \mathrm{Remainder}\quad \:370\\=2.89\\=3 weeks[/tex]

Which of the following lists is in order from smallest to largest?

0.05, 0.2, 0.48, 0.6
0.2, 0.05, 0.48, 0.6
0.05, 0.2, 0.6, 0.48
0.2, 0.48, 0.05, 0.6

Answers

Answer:

The first one:

0.05, 0.2, 0.48, 0.6

A stadium has 47000 seats seats sell for $35 in section a $30 in section B and 25 in section c the number of seats in section A equals the total number of seats in section B and C supposed to Stadium takes in 1483500 dollars from each sold-out event how many seats does each section hold

Answers

Answer: a section holds 11,750 seats

$1,483,500 from one sold out event

47,000 seats in total, 3 sections (A = B + C)

A = B*2, C*2

47,000 / 4 = 11,750

HELP NEEDED ASAP PLEASE I’LL GIVE YOU BRAINLIEST

Answers

Answer:

d

Step-by-step explanation:

Answer:

D 3/4, 4/7, 7 2/3, -2(pie), -6.5

Jordan went to the amusement park with $50. He played 5 games each
costing $5. How much money is he left with?
25
O 20
-20
O 5

Answers

Answer:

he left with 0 dollars

Step-by-step explanation:

A scientist has placed 40 bacteria into a petri dish the bacteria will double every hour

Answers

Answer:

that will be 80 bacteria the next hour and just keep multiplying the number of bacteria by 2.

Step-by-step explanation:

please help and explain how you got your answer

Answers

ANSWER 32

(3p-6) is next to the right angle so I assume it is = to 90 degrees

(3p-6)=90 also means 3p=90+6 Which is 3p = 96

96/3 is 32

p = 32

for proof do

3 times 32 minus 6 and see if it = 90

3p-6=90 (corresponding angle)
p=96/3
p=32

what is the approximate side length of a square game board with an area of 109 in ​

Answers

Answer:

10.4 inches

Step-by-step explanation:

The side lengths of a square are all equal. The formula to find the area of a square given a side length s is s².

s² = 109

Taking the square root gives us approximately 10.4 inches.

22=a+20 one and two step equations

Answers

Answer:

a=2

Step-by-step explanation:

you take 20 and subtract it from both sides and then 22-20 is 2 so a equals to 2.

Please help!! Almost my last question!! Will appreciate any help!!

Answers

Answer: 12

Explanation: 4x-2x=2x. 7- -5=12. 12/2=6. Each half is 6. Because it is asking for the full length the answer is 6+6 which is, of course, 12.

(Y to the eighth power)(y to the second power) simpified

Answers

Answer:

y^10

multiplication of exponents is like addition, you just add exponents

Approximate V8 to the nearest hundredth. Show your work.

Please help
Here is a picture of you don’t understand the question ⬆️

Answers

Answer:

Um its 2.83

Step-by-step explanation:

This is a 5th grade quesion

The value of each digit in a number is known as the place value. The 5 in 350. The value of √8 rounded off to the nearest hundredth is 2.83.

What is the place value of a digit in a number?

The value of each digit in a number is known as the place value. The 5 in 350, for example, represents 5 tens, or 50, whereas the 5 in 5,006 represents 5 thousand, or 5,000. It is critical that children that while a digit can be the same, its value is determined by its position in the number.

Identification of the place value of a digit in a number:

The place values on the left of the decimal point start as ones, tens, hundreds, and so on.The place value on the right of the decimal point starts from the point and goes to the right as tenths, hundredths and so on.The tens mean multiply by 10.The tenth means the tenth part of that digit which is that digit divided by 10.

Given √8 whose approximate values to its nearest hundredth can be written as,

The value of √8 = 2.8284271247

Round 2.8284271247 to its nearest hundredth.

We have,

2.8(2)84271247

2 is in the hundredth place.

We will round 284  to its nearest hundredth.

It will round to either 200 or 300.

Since it is 284 is more than 250 we will round to 300.

Therefore, 2.8300 is our answer.

Thus, the value of √8 rounded off to the nearest hundredth is 2.83.

Learn more about the Place Value here:

https://brainly.com/question/27734142

#SPJ2

please help if you can!!!!!!!

Answers

Answer:

-7

Step-by-step explanation:

hope this helps it might not be the right answer!

write 100% as a decimal and as a fraction
middle school not high school.
9/3/20 ↑

Answers

Answer:

1.0 and 1/1

Step-by-step explanation:

Answer:

decimal : 1

fraction :  1

Step-by-step explanation:

Percentage is always out of 100

100%

to convert from percentage to a fraction, you just put 100 and the bottom of that number;

[tex]\frac{100}{100}[/tex] ; this is equal to 1

to convert percentages to a decimal, we divide by 100;

100 ÷ 100 = 1

The square of the sum of a number and 11

Answers

Answer:

(n+11)^2

Step-by-step explanation:

Hope this helps!

Leroy's total job benefits were $50,150 last year. His total job expenses for traveling and for professional developement for the year were $3,500. Which of the following represents his total employment compensation? a. $46,650 b. $47,650 c. $50,150 d. $53,650 Please select the best answer from the choices provided A B C D (Not D)

Answers

Based on the information given his total employment compensation is: a. $46,650

Total employment compensation:

Using this formula

Total employment compensation=Total job benefits -Total job expenses for traveling and for professional development

Where:

Total job benefits=$50,150

Total job expenses=$3,500

Let plug in the formula

Total employment compensation=$50,150-$3,500

Total employment compensation=$46,650

Inconclusion his total employment compensation is: a. $46,650

Learn more about employment compensation here:https://brainly.com/question/24659002

Answer:

A. 46,650

Step-by-step explanation:

Edge 2022.

Sue ran 2.1 miles on Monday, 1.25
miles on Tuesday and Wednesday,
3.75 miles on Thursday, and 2.5
miles on Friday. How far did she
run in all2

Answers

Answer:

10.6 miles

Step-by-step explanation:

I hope this helps you

Please help!
What is g(f(4))=(g o f)(-2)=?
A.21
B.23
C.25
D.27

Answers

yo it mite be 23 have great day

Can you help ASAP!!
WILL MARK YOU BRAINLIEST !!!

When factoring 6x^2−7x−20 by grouping, how should the middle term be rewritten?

It should be written as −x−7x.
It should be written as −2x−5x.
It should be written as 8x−15x.
It should be written as x−8x.

Answers

Answer:

It should be written as 8x-15x

Step-by-step explanation:

If you have any questions about the way I solved it, ask in the comments

Find the slope of the line shown ​

Answers

Answer: m= -1/2

Step-by-step explanation:

m is the gradient of a line. and the formula for gradient is (y2-y1)/(x2-x1)

first, find a point on the line, (-2,1) and that is equal to (x1,y1)

then find another point on the line, (2,-1) and that is equal to (x2,y2)

then substitute your points into the formula above and that is equal to

(-1-1)/(2-(-2))

= -2/4

= -1/2

that is your answer

Am I correct for the value of x

Answers

Answer:

Step-by-step explanation:

65 + 79 + x = 180

144 + x = 180

x = 36°

Answer:

65+79+x=180

144+x=180

x=180-144=36.

what is deductive reasoning in geometry

Answers

Deductive reasoning is a valid form of proof.
deductive reasoning is the process by which a person makes conclusions based on previously known facts.

I’m confused and need help

Answers

Okay so basically you will need two sets of working out.
Sandra:
I=PRN
=14000x7x0.045
=4410
Cindy:
I=PRN
=14000x7x0.06
=5880
5880-4410
=1470
Therefore, Cindy earnt $1470 more than Sandra after 7 years.

Identify which equation represents a line perpendicular to the given equation 2x+5y=25

Answers

Answer:

y = 5/2x + 5

y = 5/2x - 9.5

Step-by-step explanation:

We need to solve for the y in the expresion of 2x + 5y = 25

[tex]2x + 5y = 25\\y = (25 - 2x)/5 \\y = 5 - 2/5x[/tex]

now we re-arrenge the factors in the form y = ax + b

y = -2/5x + 5

we reverse "a"

y = 5/2 + a

And now, we use a point in the other formula to solve for a:

original line:

y = 5 - 2/5x

X = 0 then Y = 5

now we solve for the general equation of the perpendicular equation:

[tex]y - y_1 = m ( x - x_1)[/tex]

[tex]y - 5 = 5/2 (x - 0)\\y = 5/2x + 5[/tex]

If we use a different point we get a different formula:

original line:

y = 5 - 2/5x

X = 5 then Y = 3

[tex]y - 3 = \frac{5}{2}(x - 5)\\y - 3 = \frac{5}{2}x -12.5 \\y = \frac{5}{2}x - 9.5[/tex]

An Image is attached to represent

Evaluate the expression. (p + q)​ 2​− (5 − 5); use p = 1, and q = 1

Answers

THE CONTENTS OF THIS ANSWER CANNOT BE DISPLAYED ON YOUR DEVICE

Answer:

Below

Step-by-step explanation:

● (p+q) ×2 -(5-5)

● 2(p+q) - 0

● 2(p+q)

Replace p and q with 1

● 2 (1+1)

● 2 × 2

● 4

The figure on the left shows a line segment 2 inches long forming a 45° angle with a dashed line whose length is not given. The figure on the right shows a compass set at a width of 1½ inches with its point on the top end of the 2−inch segment. An arc is drawn intersecting the dashed line twice.Complete the explanation of how you can use this figure to decide whether two sides and an angle not included between them can be used to form a unique triangle, more than one triangle, or no triangle. Part 1 out of 2 The two sides and angle can be used to form (select) .

Answers

AnswerMore than one Triangle :

Step-by-step explanation:

Answer:

more than 1 :)

Step-by-step explanation:

After a hurricane, a disaster area is divided into 200 equal grids. Thirty of the grids are selected, and every occupied household in the grid is interviewed to help focus relief efforts on what residents require the most. The sampling technique used is:_____.
A) Stratified Sampling.
B) Cluster Sampling.
C) Systematic Sampling.
D) Simple Random Sampling.

Answers

Answer:

B) Cluster Sampling.

Step-by-step explanation:

Cluster sampling refers to a methodology for probability sampling, in which researchers split the populace into several study groups or one can say clusters. And after this investigators pick random groups for collecting and analyzing data, using a systematic random or simple random sampling technique, depending on the research subject. As per the question, instead of 200 grids selected a cluster of 30 grids for the research and therefore it is a classic of cluster sampling.

O
O 5x 10-6
Which number is greatest?
2.89 x 10
O 1.997 x 102
O 8.9x10-6

Answers

Answer:

1.997 × 10^2

Step-by-step explanation:

I'm not sure but I believe this is the answer.

numbers that are multiplied to 10s raised to a negative number reduce in value.

Answer: 1.997 × 10^2

Step-by-step explanation:

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