find the value of the expression :
[tex]{x}^{2} + 2xy + {y}^{2} [/tex]


[tex]y = \frac{3 + i }{i} \\ x = 2 + 3i[/tex]

Answers

Answer 1

Answer: x² + 2xy + y² = 9

x² + 2xy + y² = (x + y)²

with x = 2 + 3i and y = [tex]\frac{3+i}{i}[/tex], we have:

[tex](x + y)^{2}=(2+3i+\frac{3+i}{i})^{2}\\\\=(\frac{2i+3i^{2}+3+i }{i})^{2}\\\\=(\frac{3i-3+3}{i})^{2} \\\\=(\frac{3i}{i})^{2}\\\\=3^{2}=9[/tex]

Step-by-step explanation:


Related Questions

please help I will give Brainlyest




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Question 74 pts
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What is the value of the expression above when x = 2 and y = 3? You must show all work and calculations to receive full credit. (4 points)




hellllllp

Answers

Answer:

number one :

volume = LxWxH

as it is a cube all lengths are the same substitute the values in V= 14x14x14

exponent are when you multiply a value by itself for example 2x2 can be written as 2²

in this case , the answer would be option 1.14³

A farmhouse shelters 10 animals, some are pigs, and some are ducks. Altogether there are 36 legs. How many pigs are there

Answers

Answer:

8 Pigs.

Step-by-step explanation:

~ P = the number of pig

~ D = the number of ducks

p + d = 10

  4p + 2d = 36

4(10 - d) + 2d = 36

40 - 4d + 2d = 36

40 - 2d = 36

-40       = -40

    -2d = -4

    -2      -2

        d = 2 ducks

p + d = 10

p + 2 = 10

   Therefore, 8 pigs. :)) hope this helped you :))

A. Linear
B. Exponential
C. Neither

Answers

the answer is C. neither

I NEED HELP WITH THIS ASAP!!!!

Lillian is in the business of manufacturing phones.
She must pay a daily fixed cost to rent the building and equipment, and also pays a cost per phone produced for materials and labor.

Let CC represent the total cost, in dollars, of producing pp phones in a given day.

The table below has select values showing the linear relationship between pp and C.C.

Determine the fixed cost for rent and equipment.

P C
2 1200
4 1600
6 2000

Answers

Answer:

it's 4,1600

Step-by-step explanation:

I hope my answer can help you

Select the correct answer.
Solve the system of equations.

y = x + 3
[tex]y=x^{2} +7x+8[/tex]

A.
(-1,-4) and (-5,-8)
B.
(-1,2) and (-5,-2)
C.
(1,4) and (5,8)
D.
(-1,-2) and (-5,2)

Answers

Answer:

B.  (-1,2) and (-5,-2)

Step-by-step explanation:

Substitute x + 3 in for y in the second equation.  you get

[tex]x + 3 = x^{2} + 7x + 8\\x^{2} + 6x + 5 = 0[/tex]

(x + 1)(x + 5) = 0

x + 1 = 0    or  x + 5 = 0

x = - 1       or     x = -5

Using the first equation, let x = -1  and x = -5 in order to get the corresponding values for y

y = -1 + 3 = 2           and y = -5 + 3 = -2

So, B is the correct answer.

a square has side length 95 what is the length of the diagonal of the square express your asnser in simplest radical form

Answers

Answer

134.35

Step by step explanation

95+39.35

=134.35

Answer:

95(sq rt 2)

Step-by-step explanation:

Pythagorean theorem

95^2+95^=diagonal^2

diagonal^2=18050

95(sq rt 2)

decide whether the triangle is a right triangle.​

Answers

Answer:

no it is not a right angle triangle

No, it’s not a right triangle. Right triangles need an angle of 90 degrees!

Use the information to answer the question.
There are 2.54 centimeters in 1 inch. There are 100 centimeters in 1 meter.
To the nearest meter, how many meters are in 275 inches? Enter the answer in the box.
meters
0

Answers

Answer:

7 m

Step-by-step explanation:

We are told that;

100 cm = 1 m

Thus; 2.54 cm = 2.54 × 1/100 = 0.0254 m

This means that;

1 inch = 0.0254 m

Thus; 275 inches will give; 275 × 0.0254/1 = 6.985 m

Approximating to the nearest metre gives 7 m

help I need it :| :|

Answers

Step-by-step explanation:

x= 2 y = 10

x= 0 y = 8

x= 4 y = 12

150 miles in 6 gallons

Answers

Answer:

uh thanks for the points

Step-by-step explanation:

Answer:

Step-by-step explanation:

For example, suppose it takes you 15 minutes to travel 6 miles. The time elapsed is 15 minutes divided by 60 minutes = 0.25 hours, and your speed is 6 miles divided by 0.25 hours which equals 24 mph.

For an average person:

1 mile = 2,000 to 2,500 walking steps

1 km = 1,250 to 1,550 walking steps

10,000 steps = 4 to 5 miles

Need answer pizza ???

Answers

[tex]\mathfrak{\huge{\pink{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the Concept of the Surface areas and Volumes.

Since, we know that the lateral area of a Right circular cone is given as,

AL = πrl

here, l = slant height , r = radius of the circular base.

so now, we have to find first slant height to get the lateral surface area,

[tex]l \: = \sqrt{ {r}^{2} + {h}^{2} } [/tex]

here, r = 8 cm and h = 15,

hence,

[tex]l \: = \sqrt{64 + 225} = \sqrt{289} = 17cm[/tex]

hence, now we apply the formula,

AL = π(8) (17) cm^2

===> AL = 136 π cm^2

Graph the following Line:
6x+3y=6

Answers

Answer:

Visit geogebra.com

Step-by-step explanation:

none needed <3

use y=mx +b=slope

this will help you get your answer

Find the area of the shape.

Answers

Answer:

Exact Area =  3pi   square units

Approximate Area = 9.42    square units

I used pi = 3.14 to get the approximation.

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

Explanation:

This is a three quarter circle since one quarter of it has been taken away.

Let's find the area of the full circle

A = pi*r^2

A = pi*2^2

A = 4pi

Now let's divide by 4 to find the area of just a quarter slice

(4pi)/4 = pi

One quarter slice is pi square units. Since we want three of these quarter slices, this means 3pi is the exact area of the shape shown.

This approximates to 3*pi = 3*3.14 = 9.42

retail price= $120
markup percent= 40%
what is the original cost

Answers

I believe it would be 72

2. A bacteria population is modeled by the equation p(n)= 10,000.2", where h is the number of hours since
the population was measured.
About how long will it take for the population to reach 100,000?

Answers

Answer: its 3 the answer is 3

Step-by-step explanation:

A chemical solution contains 4% alcohol. If there is 24 ml of alcohol, what is the volume of the solution?

Answers

Answer: 600 ml

Step-by-step explanation:

Let the volume of the solution be represented by x.

Therefore, we can form an equation based on the information given which will be:

= 4% × x = 24.

4/100 × x = 24.

0.04 × x = 24

0.04x = 24

x = 24/0.04

x = 600

The volume of the solution is 600ml

Jason wants to create a box with the same volume as the one shown below. He wants the length to be 4inches. What would be the measurements of the width and height?

Answers

Sorry, need either a photo of the box or the measurements

Help me PLEASE! I will give Brainliest to the first correct answer.

Jada’s dog was 5 and 1/2 inches tall when it was a puppy. Now her dog is 14 and 1/2 inches taller than that. How tall is Jada’s dog now?

Answers

Answer:

20 inches tall

Step-by-step explanation:

First, I did 1/2+1/2=1. Then, I did 5+14=19. So, 19+1=20.

Someone please hurry, I have no idea what I am doing

Answers

Answer

61.80°

Step-by-step explanation:

use SOHCAHTOA to solve

by using SOH

sin? = 51/55

? = 1÷sin(51/55)

? = 61.80°

What is the least common multiple of 36 and 90?

Answers

Answer:

180

Step-by-step explanation:

36, 72, 108, 144, 180

90, 180

Have a great day!

Stay safe!

Bye!

<3

Independent Practice


The equation k = 1.6d gives an approximate relationship between d miles and k kilometers. The distance between Columbus, Ohio, and Des Moines, Iowa, is 665 miles. Express the distance in kilometers.


A.
1,064 km


B.
415.6 km


C.
666.6 km


D.
663.4 km

Answers

[tex]k = 1.6d[/tex]

[tex]k = 1.6(665)[/tex]

[tex]k = 1064[/tex]

The distance is 1064 km.

Answer:

A. 1,064 km

Step-by-step explanation:

1 Mile is 1,6 Kilometers

430 Miles  = 688 Kilometers (430 * 1,6)

665 Miles = 1064 Kilometers (665 * 1,6)

1- 1.6(430)= 688 Km

2. 1.6(665)=1064 Km

Using 1.6 as the consant then 430* 1.6 = 688 Km

655 * 1.6 = 1048Km

if i understand what you need properly, all you do is multiply the miles x 1.6 and you will get k. so 430miles x 1.6 = 688k

and 665miles x 1.6 = 1064k

lee el texto y sustituye las palabras resaltadas por frases adverbiales que expresen temporalidad​

Answers

Answer:

............. ahi esta la respuesta

6. If ABCD is a square and AD = 11. find each missing value.
B
BC=
mZDAB =
AC =
m2AEB =
BD =
mZCBD =
EC =
mZBAC =
D

Answers

Answer:

All sides will be 11 and all angles will be 90 degrees.

Step-by-step explanation:

As all sides of square are equal. And all angles are right angled.

Hope it helped!!

Which expression has the smallest value? ǀ 65 ǀ - ǀ -34 ǀ - ǀ 27 ǀ ǀ -17 ǀ

Answers

Answer:| -17|

Step-by-step explanation: the lines represent the absolute value which is 17 out of the rest it has the smallest value

I'm in seventh grade and this is a new concept for me I need help!

Answers

Answer:

[tex]\frac{7}{8}[/tex]

Step-by-step explanation:

2x +3y = 12

Complete the missing value in the solution to the equation

(__, 8)​

Answers

Answer:

The two solutions of the equation is (0,-4)(6,0).

A brace is needed at the corner of a table, as shown in the diagram.
9 in
6 in.
What is the approximate length of the brace? A. 130 inches
B. V45 inches
C. 117 inches. D.12 inches
E. 15 inches

Answers

Answer: it’s 30

Step-by-step explanation: I got it right on my exam

the base of a rectangular prism has an area of 1 over 8 ft2 and the height of the prism is 2 over 3 ft. what is the volume of the prism?​

Answers

Answer:  the volume is 1/12 ft³

Step-by-step explanation:

Multiply the area of the base times the height:

1/8 × 2/3 = 2/24 or 1/12

the ft² times ft becomes ft³

So the volume is 1/12 ft³

i need help with these two due today plssss help me

Answers

Answer:

10. 264

11. 13

Step-by-step explanation:

10- When we are doing perimeter we add all the sides together. Since it's a square this time, we know all the sides are even at 66ft.

 66+66+66+66= 264

 I added 4 times for each side we have and we get the perimeter of 264

11- When dealing with area, all we need is two numbers. To get area we multiply the length and width. If we have the area and want either length or width, we can still easily do that. All we have to do is divide the area from your given number.

 65 divided by 5 is 13

 Area divided by Length is Width

Answer:

#10= 264

#11= 13

Step-by-step explanation:

#10: We can see that this is a square because it says so in the question so we can assume that if it is a square then all the lengths and widths are 66 feet. 4(66) = 264 or 66+66+66+66 = 264

#11: 65/5 = 13 because it is dealing with area, simply just divide the total of area by the known length to get the width.

SOMEONE PLEASE ANSWER THIS CORRECTLY AND SHOW HOW THE EQUATION WOULD LOOK LIKE!!!!!!! PLEASE HELP ASAPPPPPPPPP!!!!!!!!!!!!!

Answers

Answer:

The answer is C

Step-by-step explanation:

The plumber works $90 per hour and has earned a total of $955, to find the number of hours he worked, you divide the total amount of money by the amount of money he earned every hour. Which would be [tex]\frac{955}{90}[/tex] = H or 90H = 955.

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