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

8. Find 51% of 140. Round to the nearest tenth if necessary.
0 274.5
0 7,140.0
0 71.4
0 1.4

Answers

Answer:

0 1.4 is the answer

Step-by-step explanation:

well if you round thats why

Answer:

71.4

Step-by-step explanation:

Looked it up

Simplify 9 x (1/3)2 + 3a -10 whereas "a" stands for 5.

(1/3)2 = one third to the power of 2

Answers

Answer:

24

kobeeeeeeeeee

Step-by-step explanation:

The angles of quadrilateral are in the ratio 3 : 5 : 9 : 13. Find all the angles of the quadrilateral.

Answers

Step-by-step explanation:

let the ratio be x

now,

3x+5x+9x+13x=360°(sum of angle of quadrilateral is 360°)

30x=360°

x=360/30

x=12°

then,

3x=3×12=36°

5x=5×12=60°

9x=9×12=108°

13x=13×12=156°

so,the angles of quadrilateral are 36°,60°,108°& 156°

hope it helps.

can someone please help me with this

Answers

Answer:

The answer is about 13.7 for x

Step-by-step explanation:

Hope this helps.

Is the point (3, 11) a solution for the linear equation 1/3x + y = 12? Explain.

Answers

Answer:

Yes, because when the values are substituted in, the equation becomes a true statement

Step-by-step explanation:

plug in the values for x and y and see if the equation makes sense

x=3

y=11

1/3(3)+11=12

1+11=12

12=12

Since the above equation is true, the point is a solution for the linear equation.

The cactus grill has decided to run a special on Wednesday night where every table gets 10% off their bill find the total for this table

Answers

B? I pretty sure it’s b

Suppose that the height H of a Ferris wheel can be modeled by the function H(A=-16cos(pi t/45)+24 where t is the time in seconds. What is the maximum height of a cabin? Use 3.14 for pi​

Answers

Answer:

Step-by-step explanation:

Range of cosine is -1 to 1

Range of height is 8 to 40

in angle abcd if b=50 find the other angles ​

Answers

Answer:

angel abcd is not possible

Answer:

can u show the angels?

Step-by-step explanation:


Please help I will give brainlist ❤️

Answers

I need more context sorry

Help I will be marking brainliest!!!!

A. 274
B. 300
C. 306
D. 316

Answers

Answer:

300 units

Step-by-step explanation:

Find the value of x

66°
117°

Answers

Answer:

x = 51 degrees

Step-by-step explanation:

Keep in mind, the angles of a triangle add up to 180 degrees.

A flat line also equals 180 degrees.

First, we should find the lower left angle. We know that 117 plus that angle is going to be 180, since it's a flat line.

180 - 117 = 63

Now, we just need to find angle x. (All 3 of our angles should add up to 180, knowing this, we can put it in an equation)

63 + 66 + x = 180

Then, you solve for x:

(63+66) + x = 180

129       + x = 180

-129             -129

               x = 51

Hope this helps :)

Helpppppppp pls help .

Answers

Answer: X= 1 2 3 4  Y= 5 8 11  14

Step-by-step explanation: i tried my best

please can someone help me with this

Answers

Answer:

Too blurry to read

Step-by-step explanation:

The values of given bases is 1559, 3139, 648 and 170.

We are given that;

The four equations

Now,

a) 66+9t9+48 (base twelve)

[tex]= 6×12¹+6×12⁰ + 9×12²+10×12¹+9×12⁰ + 4×12¹+8×12⁰[/tex]

= 72+6+1296+120+9+48+8

= 1559 (base twelve)

b) 5117-324 (base eight)

[tex]= 5×8³+1×8²+1×8¹+7×8⁰ - (3×8²+2×8¹+4×8⁰)[/tex]

= 3272 + 64 + 8 + 7 - (192 + 16 + 4)

= 3139 (base eight)

c) 242 x 14 (base five)

[tex]= (2x5² + 4x5¹ + 2x5⁰) x (1x5¹ + 4x5⁰)[/tex]

= (50 + 20 + 2) x (5 + 4)

= 72 x 9 =648 (base ten) = 10130(base five)

d) 101010111 (base two)

[tex]= 1x2⁷ + 0x2⁶ +1x2⁵ +0x2⁴ +1x2³ +0x2² +1x2¹ +0x2⁰[/tex]

=128+32+8+2=170 (base ten)

Therefore, by algebra the answer will be 1559, 3139, 648 and 170.

More about the Algebra link is given below.

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Question below. Write an equation.

Answers

Answer:

16=3*2+5x

Step-by-step explanation:

3 is how many notebooks, 2 is cost per notebook, 5 is the cost of binders where x is the amount to bought, and 16 is how much you spent

Answer:

16 = 5x + 6

Step-by-step explanation:

You spend $16 on 3 notebooks and x binders. Notebooks cost $2 each and binders cost $5 each.

From this, we can see that our total amount of money spent is $16. This goes on one side of the equation.

T = 16

You have bought 3 notebooks that cost $2 each. An equation would be

n = 2x with x the number of notebooks bought. Plug 3 into x.

n = 2(3)

n = $6

You spent $6 on notebooks.

Your overall equation will be:

T = 5b + n

T is the total amount of money spent, x is the number of binders purchased, and n is the total amount of money spent on notebooks only.

Plug in the values you know.

16 = 5x + 6

To solve for x, subtract both sides by 6.

16 - 6 = 5x + 6 - 6

10 = 5x

Isolate x further by dividing both sides by 5.

x = 2

You bought 2 binders.

Hope this helps!

Número de departamento vendidos en un edificio cualitativa o cuantitativa.​

Answers

Answer:The nucleus / large central vacuole contains

genetic material of a eukaryotic cell.

Step-by-step explanation:The nucleus / large central vacuole contains

A group of friends were working on a student film that had a budget of $1200. They used $756 of their budget on props. What percentage of their total budget did they spend on props? ​

Answers

Answer: 63

Step-by-step explanation:

756/x = 1200/100

Cross multiply

75600 divided by 1200x

= 63

The percentage of budget used by them is 63%, the calculation is done by using the percentage used method.

Percentage-based problem:

What information do we have?

Amount of budget = $1200

Amount of budget used = $756

Percentage of budget used = [Amount of budget used / Amount of budget]100

Percentage of budget used = [756 / 1200]100

Percentage of budget used = 63%

Find out more information about 'Percentage'.

https://brainly.com/question/13450942?referrer=searchResults

Clara states that r 2 1 5r 1 3r is an equivalent expression to 9r. Why is Clara’s statement incorrect? Choose all that apply. A The expression r 2 1 5r 1 3r simplifies to r 2 1 8, which is not equivalent to 9r. B When you substitute 1 for r in both expressions, r 2 1 5r 1 3r has a value of 10 and 9r has a value of 9. These values are not equal. C The expression r 2 1 5r 1 3r simplifies to 10r, which is not equivalent to 9r. D When you substitute 2 for r in both expressions, r 2 1 5r 1 3r has a value of 20 and 9r has a value of 18. These values are not equal. E When you substitute 4 for r in both expressions, r 2 1 5r 1 3r has a value of 48 and 9r has a value of 36. These values are not equal. F The expression r 2 1 5r 1 3r simplifies to r(r 1 8), which is not equivalent to 9r.

Answers

Answer: A and D

Step-by-step explanation: I got it right

What is additive inverse of the check?


7x -3


-7x + 3


-7x - 3


7x - 3

Answers

Answer:

Make sure that all words are spelled correctly.

Try different keywords.

Try more general keywords.

Try fewer keywords.

Search Results

Page Navigation

Footer links

simplify e with an exponent of in6

Answers

Answer:

Step-by-step explanation:

I think the exponent is ln6, not in6.

e^(ln 6)= 6

Help please and tysm

6 x (5 + 4) - 3 - (2+1)

A 18
B) 30
C) 48
D) 54

Answers

Answer:

54

Step-by-step explanation:

Lorenzo tiene 4 cajas de huevo, cada uno con 50 huevos y 3 cartones del mismo producto con 10 de ellos ¿Cuántos huevos hay en total?

Answers

Responder:

240 huevos

Explicación paso a paso:

Número de cajas de huevos = 4

Huevos por caja = 50

Total de huevos en caja = 50 * 4 = 200 huevos

Número de cajas = 3

Número de huevos por caja = 10

Total de huevos en caja = 10 * 4 = 40 huevos

Huevos totales = (huevos en caja + huevos en cartón)

Total = (200 + 40) = 240 huevos

4. Sarah, Toby, and their mother run an online store called Unique Bracelets that sells handmade bracelets consisting of unique, individually-painted charms. Each bracelet they sell consists of 12 small charms and 5 large charms. Each order also gets 5 blank spacer charms to use to separate charms or fill in the bracelet. They do not sell charms separately and do not sell bracelets in parts. (f) Write an equation showing the number of charms, y, needed for x bracelets purchased in an order. Describe what the equation means in a real-world context.

Answers

Complete question :

Sarah, Toby, and their mother run an online store called Unique Bracelets that sells handmade bracelets consisting of unique, individually painted charms. Each bracelet they sell consists of 12 small charms and 5 large charms. Each order also gets 5 blank spacer charms to use to separate charms or fill in the bracelet. They do not sell charms separately and do not sell bracelets in parts.

(a) Write an equation showing the number of charms, y, needed for x bracelets purchased in an order. Describe what the equation means in a real-world context.

(b) Sarah’s and Toby’s mother says the order she is filling needs 158 charms. How many bracelets were purchased in this order?

(c) Toby says they don’t have enough charms to fill an order that needs 264 charms. Sarah says it’s notpossible for an order to need 264 charms. Is Sarah right? Why or why not? Justify your answer.

Answer:

y = 17x + 5 ;

9 bracelets ;

Sarah is right

Step-by-step explanation:

Contents per bracelet :

Small charms per bracelet = 12

Large charms per bracelet = 5

Blank spacer charms per order = 5

Number charms, y needed for X bracelets in an order ;

1 order ; x bracelets

12 + 5 = 17 small and large charms

5 = black spacer charms per order

y = 17x + 5

B.)

Order requiring 158 charms, number of bracelets :

y = 158

158 = 17x + 5

158 - 5 = 17x

153 = 17x

x = 153 / 17

x = 9 bracelets

Order requiring 264 charms

y = 264

264 = 17x + 5

264 - 5 = 17x

259 = 17x

x = 259 / 17

x = 15.23 bracelets

Sarah is right, the number of bracelets should be a positive integer and not a decimal.

simplify the expression -8x + 27/9

Answers

Answer:

-8/9x + 3

Step-by-step explanation:

(-8x + 27)/9

divide 9 on both side

-8/9x + 3

I need help with a/d​

Answers

what’s the question asking??

Answer:

yeah whats the question asking >:(

Function E is a linear function with an initial value of $2$ , and a rate of change of $\frac{1}{3}$
.

Function F is a linear function. The graph of function F includes the points $\left(2,\ 8\right)$ and $\left(0,\ 2\right)$ .

Which statement is true?

A The two functions have the same initial value.

B The two functions have the same rate of change.

C The initial value in function F is greater than the initial value in function E.

D The rate of change in function E is greater than the rate of change in function F.

Answers

Answer:

d

Step-by-step explanation:

The true statement: A The two functions have the same initial value.

What is a linear function?

A linear function has a straight line as its graph.

A linear function has the form shown below.

a + bx = y = f (x).

A linear function consists of one independent variable and one dependent variable. The independent and dependent variables are x and y, respectively.

We know that function E is a linear function with an initial value of 2 and a rate of change of 1/3. Therefore, the equation for function E can be written as:

E(x) = (1/3)x + 2

We also know that function F is a linear function that includes the points (2, 8) and (0, 2).

We can use the two points to find the slope of the line and then use the point-slope form to write the equation for function F.

The slope of F = (8 - 2) / (2 - 0) = 6/2 = 3

Using point-slope form with the point (2, 8), we get:

F(x) - 8 = 3(x - 2)

F(x) = 3x + 2

Now we can compare the two functions.

A. The initial value of function E is 2, while the initial value of function F is 2 + 3(0) = 2. Therefore, statement A is true.

B. The rate of change of function E is 1/3, while the rate of change of function F is 3. Therefore, statement B is false.

C. The initial value of function F is 2, which is the same as the initial value of function E. Therefore, statement C is false.

D. The rate of change of function E is 1/3, which is less than the rate of change of function F, which is 3. Therefore, statement D is false.

Therefore, the only true statement is A. The two functions have the same initial value.

To learn more about the linear function;

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someone please explain how to make a fraction into a decimal im confused will give brainliest to best answer also worth 25 points

Answers

Answer:

divide the numerator by the denominator and it should give you a decimal

Answer:if u don't get it tell me.

Step-by-step explanation:

Find the volume of a right circular cone that has a height of 18 m and a base with a
radius of 5.8 m. Round your answer to the nearest tenth of a cubic meter.

Answers

Answer:

V=634.0 cubic meter.

Step-by-step explanation:

By formula   V=πr^2(h/3)

so  V=π5.8^2(18/3)

then 5.8square2 =33.64 ,18/3=6  and pi  

multiply everything you'll get  V=634.0990612

finally it says round to the nearest tenth which mean , V=634.0 cubic meter.

Answer:

634.1

Step-by-step explanation:

Which piece of information below will not help you prove that triangles ABC and DEF are congruent using ASA?

Answers

Answer:

A) [tex]AC=DF[/tex]

Step-by-step explanation:

Given

See attachment for triangles ABC and DEF

Options

A) [tex]AC=DF[/tex]

B) [tex]AB=DE[/tex]

C) [tex]\angle B=\angle E[/tex]

D) [tex]\angle A=\angle D[/tex]

Required

Which does not prove the congruence of ABC and DEF using ASA?

From the attachment, we have the following:

[tex]\angle A = \angle D[/tex] --- Angle

[tex]AB = DE[/tex] --- Side

[tex]\angle B = \angle E[/tex] ---- Angle

The ASA theorem means that 1 side of both triangles are equal.

By comparing the listed parameter to the options, we can see that options B, C and D prove that both triangles are congruent by ASA.

However, option A [tex]AC=DF[/tex] cannot be used because that will mean that two sides of both triangles are equal. This does not support the ASA theorem

Please help anyone will give Points

Answers

Answer:

do the base are 3 then times that twice

Step-by-step explanation:

2/8 = x/64

2/8 • 64 = x/64 • 64

128/8 = x

x = 128/8

x = 16

The volume of Figure A is 16 m³.


Hope it helps!

how do I find a percentage from a discount​

Answers

Answer:

Subtract the post-discount price from the pre-discount price.

Divide this new number by the pre-discount price.

Multiply the resultant number by 100.

Step-by-step explanation:

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