Find the product of (x + (3+5i))^2

Answers

Answer 1

Answer:

x^2 +6x +10xi -16 +30i

Step-by-step explanation:

(x + (3+5i))^2

Rewriting as

(x + (3+5i))  (x + (3+5i))

Let 3+5i = m

(x + m)  (x + m)

FOILing

x^2 + xm+xm+m^2

x^2 +2xm + m^2

Replacing m with 3+5i

x^2 +2x (3+5i) +(3+5i)^2

Distribute

x^2 +6x +10xi +(3+5i)^2

Now FOIL (3+5i)^2

( 3+5i) ( 3+5i)

 3*3+ 3*5i + 3*5i+ 25i^2

= 9 +15i+15i +25(-1)

9+30i -25

-16 +30 i

Replacing that in the equation

x^2 +6x +10xi -16 +30i

Answer 2

Answer:

x² + 6x + 10xi -16 + 30i

Step-by-step explanation:

(x + (3 + 5i) )²

use the binomial theorem:

(a + b)² = a² + 2ab + b² to expand (x + (3 + 5i) )²

substitute the values,

x² + (6 + 10i)x + (-16 + 30i)

therefore

x² + 6x + 10xi -16 + 30i


Related Questions

Determine the missing step for solving the quadratic equation by completing the square. 0 = –6x2 + 24x – 5

Answers

Step-by-step explanation:

Check the above photos....

The sum of four consecutive integers is 78. What
are the 3rd and 4th integers?

Answers

Answer:

  20, 21

Step-by-step explanation:

The number halfway between the middle two integers is the average of the four:

  78/4 = 19.5

Then the four integers are 18, 19, 20, 21.

The 3rd and 4th integers are 20 and 21.

Find a possible solution to the equation cos(x+2)= sin(3x)

Answers

Answer:

x = 22

Step-by-step explanation:

Let's say that a & b are complementary angles...

Then cos a = sin b

We can also write sin(3x) as ,

[tex] \sin(3x) = \cos(90 - 3x) [/tex]

Substituting the value of sin(3x) in the question ,

[tex] \cos(x + 2) = \cos(90 - 3x) [/tex]

Cancelling cos from both the sides gives us -

[tex]x + 2 = 90 - 3x\\ [/tex]

Solving this eqn , x = 22

Find the value of x ......
Please answer this question..... ​

Answers

Answer:

x=5/2

Step-by-step explanation:

(2/7)^2x *(2/7)=(2/7)^6

(2/7)^(2x+1)=(2/7)^6

Equate indices

2x+1=6

2x=6-1

2x=5

x=5/2

Answer:

When multiplying the same number, raised to different powers, you carry the number forward so (2/7)^6  is part of the answer.

Now, we have to calculate the exponent.

2x + 1 = 6

So, the answer is x = 2.5 which means

[2/7]^(2*2.5) x [2/7]^1 = [2/7]^6 which equals

[2/7]^5 x [2/7]^1  = [2/7]^6

Step-by-step explanation:

What is the variable in the expression: 3x + 4

Answers

Answer:

x

Step-by-step explanation:

The variable(what we are to solve for) is x

Answer:

The variable in the expression is x

Step-by-step explanation:

A variable is the symbol used, which is usually a letter.

so in this case x is being used to represent something.

Jamal recorded three values for measuring water in a graduated cylinder. The
values were 25.85, 24.1, and 24.56. What was the TOTAL amount of water
measured? *
Your answer

Answers

Answer:

74.51 ml

Step-by-step explanation:

Hello!!!

from the problem statement we can infer that Jamal had a container of water where he fetches from to fill the graduated cylinder.

More so, after some couple of trails he recorded as follows

25.85, 24.1, and 24.56.

Hence the total amount of water he measured out of the container after three trials is

25.85+24.1+24.56=  74.51 ml

(assuming the cylinder is calibrated in ml)

The total volume of water he measures is  74.51 ml

[tex]\sqrt[3]{-100}[/tex]? Please help.

Answers

Answer:

-∛100Decimal : -4.64158...

Step-by-step explanation:

[tex]\sqrt[3]{-100}\\\\\mathrm{Apply\:radical\:rule}:\\\quad \sqrt[n]{-a}=-\sqrt[n]{a},\:\quad \mathrm{if\:}n\mathrm{\:is\:odd}\\\\\sqrt[3]{-100}=-\sqrt[3]{100}[/tex]

MATH ALG II! Need help quick! Will mark brainliest!

Answers

The right answer is D which is the last choice

Answer: D

Step-by-step explanation:

because yes i solved it

*HURRY AND ANSWER CORRECTLY PLS*
A particular airline offers three free snack options to it's passengers: cookies, chips, and crackers. Along with the snack, passengers are offered two free drink options: soda or water. What is the probability of a passenger choosing chips and a soda? a.)25% b.)33% c.) 50% d.) 17%

Answers

The probability of a passenger choosing chips and soda will be 25%.

What is probability?

Its simple notion is that something will most likely occur. The favorable event's proportion to the overall number of occurrences.

A particular airline offers three free snack options to its passengers: cookies, chips, and crackers.

Along with the snack, passengers are offered two free drink options: soda or water.

Then the probability of a passenger choosing chips and soda will be

P = 0.5 x 0.5

P = 0.25

Then the probability in the percentage will be

P = 0.25 x 100

P = 25%

More about the probability link is given below.

https://brainly.com/question/795909

#SPJ1

-9/11 30 as a decimal please help ​

Answers

Answer: -0.81 .30

Step-by-step explanation:

-4 - (-9). please help

Answers

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{5}}}}}[/tex]

Step-by-step explanation:

[tex] \sf{ - 4 - ( - 9)}[/tex]

When there is a ( - ) in front of an expression in Parentheses, change the sign of each term

⇒[tex] \sf{ - 4 + 9}[/tex]

Calculate

⇒[tex] \sf{5}[/tex]

Hope I helped!

Best regards!!

Answer:

5

Step-by-step explanation:

- 4 - ( -9 )

Two negatives multiplied  = positive

Therefore,

-4 + 9 = 5

add 16k to the quotient of 4m divided by 11

Answers

Answer: (16k + 4m)/11

Answer:

[tex]\Large \boxed{\frac{4m}{11}+16k}[/tex]

Step-by-step explanation:

The quotient is the result from division.

4m divided by 11 is:

[tex]\displaystyle \frac{4m}{11}[/tex]

16k is added to the result.

[tex]\displaystyle \frac{4m}{11}+16k[/tex]

PLZZZ help asap will give the brain and 100 points!!!!! For 2x^2+5=-x, choose the correct substitution for a, b, and c in the standard form of ax^2+bx+c=0. A. a=2,b=1,c=5 B. a=2,b=1,c=-5 C. a=2,b=-1,c=5 D. a=2,b=5,c=-1

Answers

hi! i believe that the correct answer would be d, a=2, b=5, c=-1

hope this helped!:)

Answer:

[tex]\huge \boxed{\mathrm{A.} \ a=2, \ b=1, \ c=5}[/tex]

[tex]\rule[225]{225}{2}[/tex]

Step-by-step explanation:

2x² + 5 = -x

The quadratic equation is in the form :

ax² + bx + c = 0

Rewriting the equation by adding x to both sides :

2x² + 1x + 5 = 0

The value of a is 2.

The value of b is 1.

The value of c is 5.

[tex]\rule[225]{225}{2}[/tex]

Which equation is for a line passing through (-2,3) and (3,4)?
O x-5y-19
0 5x-y-17
O x-5y=-17
O x-y=1

Answers

Answer:

I need help on this to what is it

23. Eduardo wants to get a grade of 95 in his math
class. His grade will be the average of three test
scores. He got a 91 on the first test and a 89 on
the second test. Write an equation to represent
the situation. What score will he need on the
third test?

Answers

Answer:

            equation:          (91 + 89 + x):3 = 95

            score needed:        x = 105

Step-by-step explanation:

x - the third test score

average of three it's a sum of the three divided by 3:

(91 + 89 + x):3 = 95

                ×3         ×3

    180 + x  = 285

         -180       - 180

            x = 105

Find the value of y for which the value of 1.7y+37 is 14 less than the value of 9.3y–25 HELP QUICK

Answers

Answer:

y=10

Step-by-step explanation:

1.7y+37 is 14 less than the value of 9.3y–25

1.7y + 37 = 9.3y - 25 - 141.7y + 37 = 9.3y - 399.3y - 1.7y = 37 + 397.6y = 76y = 76/7.6y = 10

Answer is 10

Answer:

y=10

Step-by-step explanation:

10 x 1.7 = 17

17 + 34 = 51

10 x 9.3 = 93

93 - 25 = 51

Same answer, so y = 10

Convert 21/4 into a mixed number

Answers

5(1/4). Divide 21 by 4 and write the answer by writing the integer and next to it write the remainder over the divisor.

Taila earns d dollars per week. How much does Taila earn in 10 weeks?

Answers

Answer:

[tex]10d[/tex] dollars

Step-by-step explanation:

[tex]d[/tex] is a variable, which is just a placeholder for an unknown value. Therefore, we can treat [tex]d[/tex] as if it's a number.

If you earn a certain amount of dollars per week, and you work for 10 weeks, then to find how much money you earn, you'd multiply the amount of weeks (10) by the dollars per week right?

Same logic applies for variables.

Since we have [tex]d[/tex] acting as a placeholder for the amount earned per week, then the total amount of money earned in 10 weeks is [tex]10\cdot d[/tex], which can just be represented as [tex]10d[/tex].

Hope this helped!

The answer is 10d (10 times d)

True or false: equilateral triangles can be classified as acute right or obtuse

Answers

Answer:

False

Step-by-step explanation:

Equilateral triangles can only be acute.

Because a triangle can only have 180 degrees in angles, in an equilateral triangle all angles must be less than 90 degrees since they all measure the same (60 degrees)

I hope this helps!

-TheBusinessMan

Answer: False.

Step-by-step explanation:

All the angles of an equilateral triangle are 60° all less than 90° so only acute is correct.

Write a polynomial that represents the area of the shaded region

Answers

Answer:

S = 1/2 . x^2 + 11/2 . x + 15

Step-by-step explanation:

- Let S = the area of the shaded region

- From the figure we see that S = 1/2 the area of the rectangle

- The area of the rectangle is (x+5)(x+6) = x^2 + 11x + 30

--> S = 1/2 (x^2 + 11x + 30)

--> S = 1/2 . x^2 + 11/2 . x + 15

2) You work in the tech field. Your boss has asked that you and your team design a new style phone with a 7" screen display. What are the dimensions of the phone if the aspect ratio is 16:9?

Answers

Answer:

dimensions of the phone are 7 inches x 12.44 inches

Step-by-step explanation:

The formula for the aspect ratio of a display device is a proportional relationship between the width and the height of the display.

That is;

Aspect ratio = height/width

Now, we are given;

Aspect ratio = 16:9 or 16/9

Width = 7" = 177.8 mm

Thus;

16/9 = height/177.8

Multiply both sides by 177.8 to give;

Height = (16 × 177.8)/9

Height = 316.089 mm

Converting 316.089 mm to inches gives us 12.44 inches.

Thus, dimensions of the phone are 7 inches x 12.44 inches

Verizon offers two billing plans for local calls. Plan 1 charges $30 per month for unlimited calls, and Plan 2 charges $11 per month plus $0.04 per call. For how many monthly calls is Plan 1 more cost effective than Plan 2?​

Answers

Answer:

Number of monthly calls = 475

Step-by-step explanation:

Given:

Plan 1 = $30 per month unlimited calls

Plan 2 = $11 + $0.04(per call)

Find:

Number of monthly calls, plan 1 better than plan 2

Computation:

Plan 1 (Cost) < Plan 2 (Cost)

30 < 11 + 0.04(x)

19 < 0.04(x)

475 < (x)

Number of monthly calls = 475

Write and simplify an absolute value
expression to find the distance between -3
and 8.
-
=[ans]

Answers

Think of it in terms of a number line, the distance between -3 and 8 is the difference which is 8-(-3) = 11

What would be the steps you would
take to solve the following problem?
5-2x=13

Answers

Answer:

-4

Step-by-step explanation:

1. Subtract the 5 from both sides

2. Now you have -2x=8. From here you are going to divide -2 from both sides to isolate the x value

3. Once you've done that you will have x=-4

find the equation of the line that is parallel to y=3x-2 and that contains the points ( 2,11)

Answers

Answer:

y = 3x+5

Step-by-step explanation:

[tex](2,11)=(x_1,y_1)\\y =3x-2\\m = 3\\\\Substitute \:values\:into \:point \:slope\:form\\y-y_1=m(x-x_1)\\y-11=3(x-2)\\y-11=3x-6\\y=3x-6+11\\y = 3x +5[/tex]

Water flows through a pipe at a rate of 9 gallons every 8 minutes. Express this rate of flow in fluid ounces per hour.

Answers

Answer:

[tex]Rate = 8640 fl\ oz/hour[/tex]

Step-by-step explanation:

Given

Rate: 9 gallon in every 8 minutes

Required

Express in fluid ounces per hour

Express rate as follows;

[tex]Rate = \frac{9\ gallon}{8\ minutes}[/tex]

1 gallon = 128 fluid ounces;

So:

[tex]Rate = \frac{9 * 128 fl\ oz}{8\ minutes}[/tex]

1 minutes = 1/60 hour;

So:

[tex]Rate = \frac{9 * 128 fl\ oz}{8 * \frac{1}{60} hour}[/tex]

[tex]Rate = \frac{1152 fl\ oz}{ \frac{8}{60} hour}[/tex]

[tex]Rate = 1152\ fl\ oz/ \frac{8}{60}\ hour[/tex]

[tex]Rate = 1152* \frac{60}{8}\ fl\ oz/hour[/tex]

[tex]Rate = \frac{1152*60}{8}\ fl\ oz/hour[/tex]

[tex]Rate = \frac{69120}{8}\ fl\ oz/hour[/tex]

[tex]Rate = 8640 fl\ oz/hour[/tex]

Work out 72 cents as a percentage of 83 cents.

Answers

Answer:

86.74%

Step-by-step explanation:

72/83 = 0.8674

86.74%

89% is the way u do it I think so ya

Mr Chong intends to purchase a few chickens, rabbits and ducks for his farm. The total numbers of animal is 50. He has RM1500 to be spent. A chicken costs RM20, A rabbit RM50 and a duck RM30. The number of chickens is equal to the number of ducks. How many of each animals should Mr Chong purchase? Write a system of linear equations to solve this problem.

Answers

Answer:

20 chickens, 10 rabbits and 20 ducks

Step-by-step explanation:

Let chickens be c, rabbits be r, ducks be d

Chicken cost = RM20Rabbit cost = RM50Duck cost = RM30

As per given  we get below equations:

c + r + d = 50c = d20c + 50r + 30d = 1500

Substitute d:

c + r + c= 50 ⇒ 2c + r = 50 20c + 50r + 30c = 1500 ⇒ 50c + 50r = 1500 ⇒ c + r = 30

Subtract the second equation from the first one:

c = 20

Then:

r = 10d = 20

So animals bought:

20 chickens, 10 rabbits and 20 ducks

write the divisor to complete the equation number 3
please answer I really need the answers now

Answers

Answer:6.3 ÷ 100 = 0.063

Which of the following is closest to
0 on the number line?
A) - | -5.1 |
B) 4.7
C) - | - 0.9 | D) - | 6.7 |

Answers

Answer:

C

Let's simplify the answers. Use absolute value.

| -5.1 | = 5.1 - > |5.1| = 5.1

4.7 - > |4.7| = 4.7

| -0.9 | = 0.9 - > |0.9| = 0.9

- |6.7| = -6.7 - > |-6.7| = 6.7

Now, order each from least to greatest.

0.9, 4.7, 5.1, 6.7

Which one is the smallest? 0.9

So, C is correct.

I'm sorry if I misunderstood.

Please rank Brainliest.

Always try your best and have a good day ;) !

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