(8-4i)(5i-2)
I need the steps

Answers

Answer 1

Answer:

[tex]\huge{\boxed{\sf{ -20i^{2} + 48i - 16}}}[/tex]

Step-by-step explanation:

( 8 - 4i ) ( 5i - 2 )

Use the distributive property to multiply each term of the first binomial by each term of the second binomial.

⇒[tex]8 ( 5i - 2 ) - 4i ( 5i - 2 )[/tex]

⇒[tex]40i - 16 - 20i^{2} + 8i[/tex]

Combine like terms.

Like terms are those which have the same base.

⇒[tex]- 20i^{2} +40i+ 8i - 16[/tex]

⇒[tex]-20i^{2} + 48i - 16[/tex]

Hope I helped!

Best regards!

~TheAnimeGirl


Related Questions

What’s the answer please help

Answers

Answer:

The correct answer is a.

George is in a book club. He earns 6 points for every 9 books he reads, and he needs to earn 24 points to receive a free book. How many points does he earn per book?​

Answers

Answer:

36 books

Step-by-step explanation:

9=6

6*4=24 (9*4=36)

Suppose you had two circular objects. Let the first circular object have a diameter of 26 cm and let second circular object have a diameter that is half as long as the diameter of the first. What would the circumference be for the second item in centimeters?

Answers

Answer:

40.82cm

Step-by-step explanation:

half of 26 is 13

the second's circle diameter is 13

the formula for circumference is C = 2πr

where r is the radius and π is 3.14

diameter =2r

13 = 2r

r = 6.5

2 x 6.5 x 3.14 = 40.82

40.82 cm  

Which of the following statements is true?
A.
The rational number system is not closed under multiplication, because the product of two rational numbers is not always an irrational number.
B.
The rational number system is closed under multiplication, because the product of two rational numbers is always a rational number.
C.
The rational number system is not closed under multiplication, because the product of two rational numbers is not always a rational number.
D.
The rational number system is closed under multiplication, because the product of two rational numbers is always an irrational number.

Answers

Answer:

its c i tink but im not completly sure

Step-by-step explanation:

Answer: B. The rational number system is closed under multiplication, because the product of two rational numbers is always a rational number.

The explanation is in the photo below:

What is the value of x?

Answers

Answer:

  x = 32

Step-by-step explanation:

Each angle of the equilateral triangle is 60°.

  (2x -4)° = 60°

  x -2 = 30 . . . . . . divide by 2°

  x = 32

__

  5y° = 60°

  y = 12 . . . . . . . . . divide by 5°

I need help asap please ​

Answers

Answer:

its correct

Step-by-step explanation:

Answer:

I can help

Step-by-step explanation:

but i don't see the rest of the question lol

Andrea conducts a science experiment and observes that the height of a plant depends on the amount of sunlight it receives. The plant’s height is 37 centimeters, and it grows at a rate of 0.004 centimeter per hour of sunlight. If the number of hours of sunlight is represented by the variable s, which function can represent the height of the plant?

s(h) = 0.004h – 37
f(h) = 37h + 0.004
f(s) = 0.004s + 37

Answers

Answer:

f(h) = 0.004s + 37

Step-by-step explanation:

The correct representation of the height of the plant is;

          f(h) = 0.004s + 37

Given parameters;

  Height of plant  = 37cm

  Rate of growth  = 0.004cm/hr

  Number of hours of sunlight  = s

To solve this problem, the height of the plant is directly dependent on the amount of sunlight;

     f(h) signifies that height is a function

The height of the plant is 37cm;

         f(h) = 37

The plant grows at a rate of 0.004cm/hr;  number of hours of sunlight is s;

       0.004s

Therefore;

  f(h) = 37 + 0.004s

       

Answer:

f(s)=0.004s+37

Step-by-step explanation:

What is the following equation in standard form? y= - 1/6x + 5

Answers

Answer:

x+6y=30

Step-by-step explanation:

Approximate √60 to the nearest tenth with step by step directions please! And thanks!

Answers

Answer:

7.7 is the answer

Step-by-step explanation:

(credit to manics.info)

Step 1:

Calculate the square root of 60 to be:

√60 = 7.74596669241483

Step 2:

Reduce the tail of the answer above to two numbers after the decimal point:

7.74

Step 3:

Round 7.74 so you only have one digit after the decimal point to get the answer:

7.7

To check that the answer is correct, use your calculator to confirm that 7.72 is about 60.

Hope this help and have a great day!

18 > 5k + k

A. K> 3
B. K >-6
C. K > - 1
D. K<3​

Answers

Answer: k < 3

......................

For a regular 36-sided polygon, what is the degree of rotation?

Answers

360-gon all have 80-degree rotational symmetry.

Answer:

360-gon all have 80-degree rotational symmetry.

Step-by-step explanation:

solve the equation. check your answer.
-14 = -4(9x - 1)​

Answers

Answer:

x = 0.5

Step-by-step explanation:

First, distribute -4 to the parentheses:

-14 = -4(9x - 1)​

-14 = -36x + 4

Subtract 4 from both sides:

-18 = -36x

Divide each side by -36

0.5 = x

x = 0.5

Answer :

➠ -14 = -4(9x - 1)

Multiplying by -1 on both sides,

we ge[tex]t[/tex]

➠ 14 = 4(9x - 1)

➠ 14 = (4 × 9x) - (4 × 1)

➠ 14 = 36x - 4

➠ 36x = 14 + 4

➠ 36x = 18

➠ x = 18/36

➠ x = 1/2

x = 0.5

Hope It Helps!

3.5 in/year=cm/day
help

Answers

Answer:

.024 cm/day

Step-by-step explanation:

A recipe that yields 12 cups of soup calls for 28 ounces of beef broth. How many ounces of beef broth do you need to make 18 cups of the soup?

Answers

Answer:

42 ounces.

Step-by-step explanation:

First, divide the 28 ounces by the 12 cups. You would then have 2.33333333333 ounces of beef needed for one cup of soup. Then, you would multiply that by 18, and you would get 48.

Help me ASAP please!!!

Answers

Answer:

30 centimeters

Step-by-step explanation:

You have to find the scaling of the lengths first, and to do that, you divide the 20 by 8, which would be 2.5. After, you multiply 2.5 by 12 to get your answer.

Answer:

30

Step-by-step explanation:

20 divided by 8 is 2.5, so you know that the triangle expanded by 2.5.

Multiply the small triangle's length by 2.5 to get your answer of 30.

Plz help me with number 1

Answers

For figure one angle 1 is 98 and for angle 2 it is 82 THEN for figure two both angles are 64 THE LAST ONE figure 3 angle 1 is 157 and angle 2 is 23

What is the result when x^3+2x^2– 11x + 8 is divided by x - 1?

Answers

Answer:

result is x^2+3x-8 sorry for the photo quality

Please answer this, i really need it its my last question

Answers

Answer:

y=-4 to 4

x=-1 to -7

Step-by-step explanation:

I don’t get it someone help it’s due in 40 minutes

Answers

Answer:    y = -0.2x+13

===========================================================

Explanation:

To find the slope, all you need are two points.

Pick any two columns to form the two points. Once you have your two points, use the slope formula

I'll use the first two columns

m = (y2-y1)/(x2-x1)

m = (12.2-13)/(4-0)

m = -0.8/4

m = -0.2 is the slope

The y intercept is b = 13 since x = 0 leads to y = 13 (column 1)

With m = -0.2 and b = 13, we go from y = mx+b to y = -0.2x+13

what is the graph of y= -4x -1?

Answers

Here is the graph if u need coordinates let me know

Answer:

The y-intercept is -1

The slope is -4 so you will go down 4 and over 1 to the right.

The line is negative

So it will be pointing Northwest and Southeast \ that way.

Step-by-step explanation:

Did you understand this??

R
$
Landon invests $3000 into stocks. The
account has a rate of 10% and is com-
pounded annually. How much money is
in the account after 5 years? How much
interest did he earn?

Answers

1,500$ in interest was earned 4,500 is in the account total

Movers Company manufactures sneakers. The production of their new sneaker for the coming three months is budgeted as follows:​ ​ August 30,000 September 50,000 October 35,000 Each sneaker requires 2 hours of direct labor time. Direct labor wages average $15 per hour. Monthly overhead averages $10 per direct labor hour plus fixed overhead of $4,500. What is the direct labor cost budgeted for September?

Answers

Answer:

Direct labor cost= $1,500,000

Step-by-step explanation:

Giving the following information:

Production:

September 50,000

Each sneaker requires 2 hours of direct labor time.

Direct labor wages average $15 per hour.

First, we need to calculate the number of direct labor hours required:

Direct labor hours= 50,000*2= 100,000 hours

Now, the direct labor cost:

Direct labor cost= 100,000*15= $1,500,000

Please help !!!
The seventh-graders at the middle school are going on a field trip to Hurricane Harbor. They will spend 6 1/2 hours at the water park. The students will need to ride 5 different water slides while they are there. If the time is evenly distributed, how many minutes will the students spend at each water slide?

Answers

Answer:

exabit for about 51 min

Step-by-step explanation:

COMMET IF I BE WRONG

Answer:

6 1/2×60=390 390÷5=78

Step-by-step explanation:

They will have an hour and 18 minutes per each water ride.

What is 13,439 plus 26,948

Answers

Answer:

13,439+26,948= 40,387

I need the answer to this question for my math homework
−3 = x −11

Answers

Answer:

x = 8

Step-by-step explanation:

Step 1: Write equation

-3 = x - 11

Step 2: Solve for x

Add 11 to both sides: 8 = xRewrite x = 8

Step 3: Check

Plug in x to verify it's a solution.

-3 = 8 - 11

-3 = -3

Answer:

X = 8

Step-by-step explanation:

8-11= -3. I think the easiest way to solve this if you are new to negative numbers is to use a number line.

Good luck!

Given: 9-4x = -19
Prove: x = 7

Answers

Answer:

Easy

Step-by-step explanation:

-19-9=-28

-28/-4=7

thus x=7

what is x5/3x + 1/3x=10+7/3x

Answers

Answer:

x=6/25      or     decimal = x=-0.24

Step-by-step explanation:

Katelyn ate 1/3 of an apple pie, and Chad ate 3/8 of the same pie. What fraction of the pie was eaten?​

Answers

Answer:

17/24 or 0.708333

Step-by-step explanation:

hope that helps :)

Please help me!, 40 points!

Answers

Answer:

what is the question

Step-by-step explanation:

Answer:

What is the question?

Step-by-step explanation:

Please help!!!!!!!!!​

Answers

Answer:

bottom one

Step-by-step explanation:

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