Select the correct answer. What is the product (1 + i)(2 + i)? A. 3 + 2i B. 3 – i C. 3 + i D. 1 – 3i E. 1 + 3i

Answers

Answer 1

Answer:

1 + 3i

Step-by-step explanation:

1(2+i)+i(2+i)

1*2+1i+i(2+i)

1*2+1i+2+ii

2+i+2i-1

1+i+2i

1+3i

Answer 2

Multiplication is the process of multiplying. The product (1+i)(2+i) is (1+3i).

What is multiplication?

Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. For example, 3 × 4 means 3 is added to itself 4 times, and vice versa for the other number.

The product (1+i)(2+i) can be done as,

(1+i)(2+i)

= 2 + i + 2i + i²

= 2+ 3i -1

= 1+3i

Hence, the product (1+i)(2+i) is (1+3i).

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Related Questions

which fraction represents 35%

Answers

Answer:

7/20

Step-by-step explanation:

Answer:7/10

Step-by-step explanation:

Here is the way that I think is the simplest method of changing a percentage a fraction. This percentage has two digits in it, so put it over a 1 and two zeros and then simplify. 35/100 is simplified to 7/20.

I need to solve for x this is easy I don't have the time to do it though ​

Answers

I think it’s x = 9 hope it helps :D
b. x=9

5x+5x=90
10x=90
x=9

HELP DUE IN 2 HOURS!!!!!!!!!!!!!!!

Answers

Answer: A. yes, because the volume of the prism is less than 400 cubic inches

Answer:

D

Step-by-step explanation:

Wrapping paper goes around the box, rather than filling the content of the box. So SA is what we are looking for

2(13x5 + 13x8 + 5x8) = 418 > 400

So 400 does not suffice, you would need 18 more

What is the perimeter of quadrilateral ABCD?
O 15 units
O 17 units
O 18 units
o 20 units

Answers

Answer:

The perimeter of the quadrilateral ABCD is 20 units.

As, There are 4 angles in the quadrilateral.None of the 3 above options are the perimeter.

Jerel runs 5 days each week. On each of 4 days, he runs 2.3 km. If Jerel runs a total of 14 km, how many kilometers does he run on the fifth day?


PLEASE HELP!

Answers

the answer you need is 19 easy

if y = 16 when x = 4, find
Y when x = 6

Answers

Y would equal 24 :)

GEOMETRY HELP AHH please

Answers

Answer:

c

Step-by-step explanation:

Find the possible dimensions of the sports field given if the width is at least 50yards. need help asap

Answers

Answer: (If I'm right can I get marked brainiest?)

100

2

+

50

2

=

12500

;  

12500

=

111.80

yards

Step-by-step explanation:

A football field is a rectangle, so a diagonal line creates 2 right triangles. The formula for the length of the sides of a right triangle is  

a

2

+

b

2

=

c

2

For this problem, we know  

a

and  

b

, so we just have to find  

c

.

100

2

+

50

2

=

c

2

=

12500

The length of the diagonal is  

12500

, which is 111.80 yards.

The possible dimensions of the sports field are width 70 yards, length 7-3x yards.

What are dimensions?

Dimensions in mathematics are the measure of the size or distance of an object or region or space in one direction.

Given that, the width is at least 50 yards and area is (490-210x)

We can conclude the shape of the sports field is rectangular.

We need to find the Greatest Common factor between 490 and 210, this way:

490 = 2 × 5 × 7 × 7

210 = 2 × 5 × 3 × 7

Then the greatest common factor is 2 × 5 × 7 = 70

This GCF is also equal to 70 yards (given in option), therefore it's one of the dimensions of the sports field.

Now, we calculate the other side of the sports, this way:

Second dimension of the sports field = (490-210x)/70

= 7-3x

Hence, The possible dimensions of the sports field are width 70 yards, length 7-3x yards.

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The price of a gallon of unleaded gas has dropped to $2.83 today. Yesterday's price was $2.89. Find the percentage
decrease. Round your answer to the nearest tenth of a percent.

Answers

Answer:

$2.90 %Step-by-step explanation:

because if you round it it would be close to 90 and if you mutiply 2 x 2 =4 x 89

solve using the systems of linear inequalities
[tex]4x + y \geqslant 2[/tex]

Answers

The linear inequality for x is x ≥ 1/2-y/4
The linear inequality for y is y ≥ 2-4x

How to find the missing number when given the mean: Adam earned 75, 88, 92, 94, and 71 on the first 5 assignments. What was his score on the sixth assignment if the mean of the data was 85?​

Answers

Answer:

(75+88+92+94+71+x)/6=85 x 1,21

Step-by-step explanation:

Please help me, I don’t understand this that well

Answers

ASA Maybe sorry if it’s wrong

Find the total surface area of the cylinder pictured. Use 3.14 for pi.

75.3 square meters
226.1 square meters
527.5 square meters
301.4 square meters

Answers

Answer:

527.5 sq. meters.

Step-by-step explanation:

I got it right on a test.

Answer:

527.5

Step-by-step explanation:

Amar received a 20% raise at work. He earned $20 per hour before the raise. What is the amount of his raise?

Answers

Answer:

4

Step-by-step explanation:

20% of $20 is $4

2
Eight more than half a number is
thirteen. What is the number?
А
2.5
B
18
с
10.5
D
10

Answers

Answer:

d) 10

Step-by-step explanation:

x ÷ [tex]\frac{1}{2}[/tex]  + 8 = 13

substitute 10 for x:

⇒ 10 ÷ [tex]\frac{1}{2}[/tex]  + 8 = 13

solve:

1) divide 10 by [tex]\frac{1}{2}[/tex]

⇒ 10 ÷ [tex]\frac{1}{2}[/tex]  = 5

2) add 8 to 5

⇒ 8 + 5 = 13

Angharad is buying a new 40-inch screen TV (remember that TV screens are measured along the diagonal )

a)If it is 20 inches tall, how wide is the screen ?

b)Her TV cabinet is 30 inches wide .will the TV fit inside it ?

Answers

Answer:

a) 34.64 inches

b) The TV will not fit inside the TV cabinet

Step-by-step explanation:

Angharad is buying a new 40-inch screen TV (remember that TV screens are measured along the diagonal )

a)If it is 20 inches tall, how wide is the screen ?

We solve using the formula:

Diagonal ² = Width² + Height²

Diagonal = 40 inches

Height = 20 inches

40² = Width² + 20²

Width² = 40² - 20²

Width = √40² - 20²

Width = √(1200)

Width = 34.641016151 inches

Approximately = 34.64 inches

b)Her TV cabinet is 30 inches wide .will the TV fit inside it ?

From the above calculation, the width of the TV = 34.64 inches

Hence the width of the cabinet has to be equal to or more than 34.64 inches

Hence, The TV will not fit inside the TV cabinet

Plz help again. I can't do math lol.

Answers

Answer:

Isn't 20x5=100

Step-by-step explanation:

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{\dfrac{5}{4}\times 20}[/tex]

[tex]\large\text{New equation: }\mathsf{\dfrac{5}{4}\times\dfrac{20}{1}}\\\\\mathsf{5\times20=\bf 100}\\\\\mathsf{4\times1=\bf 4}\\\\\mathsf{\dfrac{100}{4}=\bf 25}\\\\\\\boxed{\boxed{\bf 25}}[/tex]

[tex]\mathsf{\dfrac{5\times20}{4}}\\\\\mathsf{5\times20=\bf 100}\\\\\mathsf{\dfrac{\bf 100}{4}=\bf \underline{25}}\\\\\boxed{\boxed{\bf 25}}[/tex]

[tex]\boxed{\large\text{Answer: \bf 25 = 25}}}\large\checkmark[/tex]

[tex]\boxed{\boxed{\huge\text{Overall answer: \bf 25}}}\huge\checkmark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

help with this question

Answers

Answer:

Of members(2) and of phone conversation (1) cuz they had two people and you had to call 1 at a time ☺

17) PG = 7. Find PF.

Answers

PG is at a right angle equalling 7.
PF is also a right angle equaling 7

Find the truth set of this equation:
16=12 (a+b) + 5-a​

Answers

Answer:

11/12

Hope this helps!!!!

11/12 is your answer

PLEASE HELP MY OUT Solve: -2X + 5 +4X + 9 = 3 (6 + 4X) -12X
Show your work

Answers

Answer:

x=2

Step-by-step explanation:

first we will distribute out everything

-2x +5 +4x+ 9 = 3(6 +4x)- 12x

(multiply 3 to both 6 and 4x)  

-2x +5 +4x+ 9= 18 +12x -12x

then combine like variables on both sides

(add -2x and 4x and add 5 and 9, for the other side add 12x and -12x)

2x+14= 18  

then isolate x

2x=4

x=2

and substitute x for 2 to double check

-2(2)+5+4(2)+9=3(6+4(2))-12(2)

18=18

therefore 2 is correct

3) Valerie works at a local amusement park. She earns $9.80 per hour. She 20 points
also receives $10 for meals daily. Last Friday, Valerie earned $88.40.
Which equation can be used to determine how many hours Valerie
worked on Friday? *
a. 9.80h + 10 = 88.40
b. 88.40h + 9.80 = 10
c. 10h + 88.40 = 9.80
d. 10h + 9.80 = 88.40

Answers

Answer:  Choice A9.80h+10 = 88.40

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

Work Shown:

h = number of hours worked.9.80h = amount of money earned after working h number of hours (ignoring the meal bonus).9.80h+10 = total amount of money earned after adding on the meal bonus.9.80h+10 = 88.40 is the equation we use since the total 9.80h+10 is the same as the total she earned 88.40 dollars.

--------------------

Extra info (optional section)

If you want to solve for h, then you could follow these steps.

9.80h+10 = 88.40

9.80h = 88.40-10 ... subtract 10 from both sides

9.80h = 78.40

h = 78.40/9.80 .... divide both sides by 9.80

h = 8

Valerie worked 8 hours on Friday.

As a check,

9.80h + 10 = 88.40

9.80*8 + 10 = 88.40

78.40 + 10 = 88.40

88.40 = 88.40

The answer is confirmed.

Suppose the two line segments in a coordinate plane one with a length of 120 units and other with a length of 240 units were both rotated 90 degrees about the origin and then translated 50 units up one of the resulting segments could have a length of...Units.

Answers

Answer:

[tex]Line\ 1 = 120\ units[/tex]

[tex]Line\ 2 = 240\ units[/tex]

Step-by-step explanation:

Given

[tex]Line\ 1 = 120\ units[/tex]

[tex]Line\ 2 = 240\ units[/tex]

Transformation

Rotation: 90 degrees

Translation: 50 units up

Required

The new length of one of the lines

Since no options were given, I will solve for the lengths of the two lines

From the question, the transformations are rotation and translation. These two types of translation do not alter the length or angle of a shape.

This implies that both lines will still retain their original lengths.

So. we can conclude that, after the transformation

[tex]Line\ 1 = 120\ units[/tex]

[tex]Line\ 2 = 240\ units[/tex]

the perimeter of the rectangle is 46 inches which is the missing length​

Answers

Answer:

Step-by-step explanation: hope that helps

Due 03/24/21 11:5 Exit 4-6: MathXL for School: Practice & Problem Solving Question Help X 4.6.PS-13 Design An art class is making a mural for their school which has a triangle drawn in the middle. The length of the bottom of the triangle is x. Another side is 10 more than three times the length of the bottom of the triangle. The last side is 1 more than the bottom of the triangle. plz hurry!!!​

Answers

Answer:

[tex]x < - 9[/tex]

Step-by-step explanation:

We can only find the range of the values of x by using triangle inequality,

[tex]x + 1 + x > 3x + 10 \\ \\ 1 - 10 > 3x - 2x \\ \\ - 9 > x[/tex]

Multiply through both sides by -1, we get,

[tex]x < - 9[/tex]

This means x = -10, -11, ... (which is not realistic because a side of a triangle cannot be a negative number)

Find the slope
Pleasee!!! emergency

Answers

Answer:

1 over 3

Step-by-step explanation:

Rise over run

it rises one

it runs 3

Amber the giant panda can eat at least 2.5 kilograms of
bamboo per hour and at most 3.5 kilograms of bamboo
per hour. Based on this information, what is a possible
amount of time, in hours, that it could take Amber to eat
35 kilograms of bamboo'?

Answers

Answer:

i think 6 hours so sry if i am wrong good luck

Step-by-step explanation:

A 10-foot ladder touches the side of a building at a point 8 feet above the ground. At what height would a 22-foot ladder touch the building if it makes the same angle with the ground as the shorter ladder? Round to the nearest tenth if necessary.

Answers

Answer:

8.75 feet

Step by step:

Given that a 12 foot ladder leans against a building seven feet above the ground.

By using trigonometry ratio, the angle between the ladder and the ground will be

SinØ = opposite/ hypothenus

SinØ = 7 / 12

SinØ = 0.58333

Ø = Sin^-1(0.58333)

Ø = 35.69 degree

At what height would an 15 foot ladder touch the building if both ladders form the same angle with the ground?

Using the same trigonometric ratios

SinØ = opposite/hypothenus

Sin 35.69 = opposite/ 15

Cross multiply

Opposite = 15 × sin 35.69

Opposite = 8.75 feet

Therefore, the ladder will touch the building if both ladders form the same angle with the ground at height 8.75 feet.

this is the ss ihelppl

Answers

Answer:

oh yeah baby there u go

Step-by-step explanation:

AND DO IT LIKE THAT IN FUTURE WITH UR GARDE LIKE 10TH GRADE HELP!

HERES UR ANSWER

it was childs play lol

pls help it’s due today

Answers

Answer:

[tex](x+3)^2+2[/tex] or [tex]x^2+6x+11[/tex], they're both equal.

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