Which property of addition is shown in the equation below?

a + bi + 0 + 0i = a + bi
commutative property
inverse property
identity property
associative property

Answers

Answer 1

Answer:

c. Identity property

Step-by-step explanation:

edg 2020

Answer 2

Identity property is used in the equation a+bi+0+0i=a+bi.

What is identity property?

The identity property of addition says that the sum of 0 and any number is that number only.

How to check property?

We have been given the following equation

a+bi+0+0i=a+bi

when we multiply it with 0 we get 0 and the equation becomes

a+bi=a+bi

It shows the identity property of addition.

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Related Questions

Solve the following inequality algebraically.

| x-8 | > 4

Answers

Answer:

x>12

This is the answer

Evaluate the expressions for the given value and match them with the simplified answer.

5-x/3 for x = -3
-2 + 2x/3 for x = 6
-3 + x/2 for x = 6
2-3x/4 for x = 4

-1
0
2
6​

Answers

Answer:

1st = 6

2nd = 0

3rd = -1

4th = 2

Step-by-step explanation:

Got it right on EDGE

Hope this Helps!

Have a great day!

pls thank and rate!

Thank u and God bless!

:)

The solutions of the expression for the different values of x will be,

5-x/3 = 6

-2 + 2x/3 = -1

-3 + x/2  = 0

2-3x/4 = 2

What is an expression?

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that the expressions are:-

5-x/3 for x = -3

5 - (-3 / 3 ) = 6

-2 + 2x/3 for x = 6

-2 + (2 x 6 )/3 = 2

-3 + x/2 for x = 6

-3 + (6 / 2 ) = 0

2-3x/4 for x = 4

2 - ( 3 x 4 ) /4 = -1

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Parker is working two summer jobs, making $11 per hour lifeguards and $22 per hour tutoring. Last week Parker worked a total of 16 hours and earned a total of $242. Determine the number of hours Parker worked lifeguarding last week and the number of hours he worked tutoring last week

Answers

Answer:

lifeguarding: 6 hours

tutoring: 10 hours

Step-by-step explanation:

First, to be able to tell apart the two jobs, use the variable x and y for them. use x for lifeguarding and y for tutoring. Since you have the pay per hour, you can create an expression for his pay:

11x + 22y

Then, write a system of equations to be able to find both variables.

If Parker worked a total of 16 hours, then you know that the combined amount of worked hours will be:

x + y = 16

If Parker earned a total of $242, then you know that his combined pay will be:

11x + 22y = $242

Now, you solve the system of equations (IMAGE.A):

First, solve for x:

11x + 22y = 242

11x = 242 – 22y

x = 22 – 2y

Now, plug in the x-value in the other equation:

x + y = 16

22 – 2y + y = 16

22 – y = 16

–y = –6

y = 6

This means that he has worked 6 tutoring hours.

Now, plug in the y-value to find the x-value:

11x + 22y = 242

11x + 22(6) = 242

11x + 132 = 242

11x = 110

x = 10

this means that he has worked 10 lifeguarding hours.

Answer:

10 hours lifeguarding, 6 hours tutoring

Step-by-step explanation:

You mixed it up but your work was right! This is correct because I just had this on a test and got it right. Good LUCK!

I NEED HELP PLEASE!!!

Answers

Answer:

13 seconds

Step-by-step explanation:

Since distance is directly proportional to time,

distance = time * a constant

Lets make A the constant

So, 54 = 9A

A = 6

Now, since distance = 78,

78 = time * A

From above, we can see that A = 6, so

78 = time *6

time = 13

Answer:

13

Step-by-step explanation:

54/9=6, 6 is the rate at which the car travels. 78/6 is 13 so that is how far the car traveled

7. There are 40 boys in 7th grade. The number of girls in 7th grade is 30. Carly says
that means the ratio of the number of boys in 7th grade to the number of girls in 7th
grade is 4:7. Is Carly correct? Explain. If not, what is the correct answer?
HELP ASAPP THANKS

Answers

Answer:

I'm pretty sure Carly isn't correct.

Step-by-step explanation:

If I'm not mistaken, the ratio would be 4:3....

If I'm wrong, go ahead, sue me.

y=x/2+5 what is the slope of the equation?

Answers

Answer:

1/2

Step-by-step explanation:

the equation of a function/line is y=mx+b where

b is the y intercept

x is the slope

y=x/2+5 is the same as y=1/2x+5

I need Help PLS




again

Answers

Answer:

B

Step-by-step explanation:

It is saying the same thing as 18-7 just in the parenthesis (-7).

Answer:

B. 18+(-7)

Hope this helps!!!!!!

Which definitions describe context? Check all that apply.

words that can give me clues to the meaning of an unknown word
words or ideas inside an unknown word
words or ideas around an unknown word
words that I do not know
words or ideas that are easy to understand

Answers

Answer: Words that can give you clues to the meaning of an unknown word

Step-by-step explanation:

Answer:

A and C

Step-by-step explanation:

I just answered that question and i got it right. Have a great day :)

Rohini spends 88℅ of her monthly income. If she saves rs 3420 per month,what is her monthly income ?​

Answers

Answer:

rs 28500

Step-by-step explanation:

If she saves rs3420 and spends 88% we need to convert 88% to a decimal first.

88% = 88/100 = .88

Let m equal her monthly income.

m - .88m = 3420

.12m = 3420

.12m/.12  = 3420/.12

m =  3420/.12

m = 28500

He monthly income is rs28500.

If the area of a rectangle is 100, then the length is 25 and the width is 4

Answers

Answer:

Yes.

Step-by-step explanation:

since area is length x the width, so in this case it would be 25 x 4 = 100

What is 0.362 rounded to the nearest tenth?

Answers

Answer:

0.4

Step-by-step explanation:

Answer:

0.4

Step-by-step explanation:

The tenths has 3, the hundredths has 6, and the thousandths has 2. The hundredth is greater than 5, so we have to round the tenths up by 1, making it 0.4

does anyone know? take ur time and its ok if u dont

Answers

Answer:

Your answer is: A) x 5/6

Step-by-step explanation:

Hope this helped : )

Answer:

its the first one

Step-by-step explanation:

Ayuda con esto tengo muchos deberes y nececito terminarlos ahora, por favor ayuda :( .María y Nancy son vecinas, y todas estas semanas han realizado compras en el mercado. La semana pasada María gastó 25,75 dólares, exactamente 3 veces más de lo que gastó Nancy, que tenía poco que comprar. ¿Cuánto dinero se gastó Nancy?

Answers

Answer:

Nancy gastó 8,58 dólares.

Step-by-step explanation:

Para calcular cuánto dinero gastó Nancy, debemos hallar la relación entre Nancy y María, tal como sigue:

[tex] M = 3N [/tex]    (1)

En donde M es por María y N por Nancy

En la relación de la equación (1) tenemos que el dinero que gastó María es 3 veces lo que gastó Nancy, tal como dice el enunciado.

Entonces, podemos hallar ahora cuánto gastó Nancy:

[tex] N = \frac{M}{3} = \frac{25,75}{3} = 8,58 [/tex]

Por lo tanto, Nancy gastó 8,58 dólares.  

Espero que te sea de utilidad!

I NEED HELP WITH THIS QUESTION!!

Answers

Answer:

- 1

Step-by-step explanation:

The product of the slopes of lines perpendicular to each other is - 1

Given y = 4x - 5 with slope 4

y = - [tex]\frac{1}{4}[/tex] x - 5 with slope - [tex]\frac{1}{4}[/tex] then

4 × - [tex]\frac{1}{4}[/tex] = - 1 proving the lines are perpendicular

The seventh term of an arithmetic progression is equal to twice the fifth term. The sum
of the first seven terms is 84. Find the first term.

Answers

Answer:

a₁ = - 24

Step-by-step explanation:

The n th term of an AP is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Given a₇ = 2a₅ , then

a₁ + 6d = 2(a₁ + 4d) = 2a₁ + 8d ( subtract 2a₁ + 8d from both sides )

- a₁ - 2d = 0 → (1)

The sum to n terms of an AP is

[tex]S_{n}[/tex] = [tex]\frac{n}{2}[/tex] [ 2a₁ + (n - 1)d ]

Given [tex]S_{7}[/tex] = 84 , then

[tex]\frac{7}{2}[/tex] (2a₁ + 6d) = 84

3.5(2a₁ + 6d) = 84 ( divide both sides by 3.5 )

2a₁ + 6d = 24 → (2)

Thus we have 2 equations

- a₁ - 2d = 0 → (1)

2a₁ + 6d = 24 → (2)

Multiplying (1) by 3 and adding to (2) will eliminate d

- 3a₁ - 6d = 0 → (3)

Add (2) and (3) term by term to eliminate d

- a₁ = 24 ( multiply both sides by - 1 )

a₁ = - 24

Who is the coach for - (-5x + 9)

Answers

Answer:

[tex]=5x-9[/tex]

Step-by-step explanation:

[tex]-\left(-5x+9\right)[/tex]

[tex]Distribute\: parentheses[/tex]

[tex]=-\left(-5x\right)-\left(9\right)[/tex]

[tex]Apply\:minus-plus\:rules[/tex]

[tex]-\left(-a\right)=a,\:\:\:-\left(a\right)=-a[/tex]

[tex]=5x-9[/tex]

What is (1x2)+85+2.86 divided by 8?

show work

Answers

Answer:

89.86

Step-by-step explanation:

1 x 2 = 2

2 + 85 = 87

87 + 2.86 =

89.86

20 comics for $5.00 seth buys 30 for $7.50 what is the sale price per comic

Answers

Given parameters:

 20 comics costs $5

  30 comics costs $7.50

Unknown:

Sale price per comic =   ?

Solution

The sale price per comic is ;

       = [tex]\frac{cost}{number of comics }[/tex]

       = [tex]\frac{5}{20}[/tex]  

       = $0.25 per comic

The cost per comic is $0.25 per comic

Answer:

0.25

Step-by-step explanation:

Determine the y-intercept of the following parabola:
y = 3x2 - 12x - 5

Answers

Answer:

-5

Step-by-step explanation:

Find the y-intercept by plugging in x = 0:

  y = 3x^2 - 12x - 5

  y = 3(0^2) - 12(0) - 5

  y = 0 - 0 - 5

  y = -5

(0, -5)

help please !!!!!!!

Answers

Answer:

2x^2=80

Step-by-step explanation:

A​ company's stock began the day at ​$36.66 per share. That price drops by ​$1.69 each hour.
a. What is the price per share after 6 ​hours?

Answers

Answer:

After 6 hours the price per share is $26.52

Step-by-step explanation:

You multiply 1.69 by how many hours which in your case is 6. This gives you $10.14. Then you subtract 36.66 by 10.14 and you get your answer.

Hope this helps!

kenji buys 3 yards of fabric for $7.47. Then he realizes he need 2 more yards, How much will the extra fabric cost?

Answers

$4.98

7.47 divided by 3 (to get the individual cost) is 2.49
Multiply 2.49 by 2 to get the total cost of the extra fabric

Martin painted 255 square feet of his kitchen wall with 23 gallon of paint. If he continues coverage at the same rate, how many square feet can he cover with 2 gallons of paint?765 ft2510 ft2382.5 ft21,020 ft2

Answers

Complete Question

Martin painted 255 square feet of his kitchen wall with 2/3 gallon of paint. If he continues coverage at the same rate, how many square feet can he cover with 2 gallons of paint?765 ft2510 ft2382.5 ft21,020 ft

Answer:

765 square ft

Step-by-step explanation:

2/3 gallon of paint = 255 square feet

2 gallons of paint =

Cross Multiply

2 × 255 square feet/2/3 gallon of paint

= 510 ÷ 2/3

= 510 × 3/2

= 765 square feet

Um I kinda need help on this and how to do it​

Answers

Answer:

m = 1

Step-by-step explanation:

Slope is defined by the change in y over the change in x, [tex]\frac{\Delta y}{\Delta x}[/tex]. A trick here is to find where 2 points where the slope intersects a corner of the square grids. For example, here, it can be (0,1) and (1,0). Then, you count how many squares you needed to go up or down by and divide by the number of square you needed to move right or left by. If you move up or right, the value will be positive and vice versa for down and left. Which direction you go will depend on which point you start on. Here, we can see between (0,1) and (1,0), we need to move up 1 and right 1. Meaning 1/1 is the slope or m = 1. If this doesn't make sense, just ignore it but it may come in handy when you move to more complex problems where the slope is a fraction or something.

Answer:

b= -1

m=1

Step-by-step explanation:

the equation for a linear graph is y=mx+b

your y intercept would be -1 because thats where the line crosses on the y axis. The slope which would be 1 is because when you are on the point (0,-1) you go up one and one to the right and get (1,0)

therefore the equation would be

y=1x-1 or y=x-1

is 3.14 a terminating decimal ?​

Answers

Answer:

Yes, it is a terminating decimal.

Step-by-step explanation:

3.14 ends and it does not repeat. If it repeated, it would be a repeating decimal but since it does not, it is a terminating decimal.

Is x = 1 a solution of the equation 2 – 8x = –6?

Answers

Let's verify by substituting 1 to x.

2 - 8x = -6

2 - 8(1) = -6

2 - 8 = -6

-6 = -6

It is equal, therefore x = 1 is the solution.

Answer:

yes

Step-by-step explanation:

Substitute x = 1 into the left side of the equation and if equal to the right side then it is a solution.

2 - 8(1) = 2 - 8 = - 6 = right side

Thus x = 1 is a solution of the equation

Does 4.5, 6, and 7.5 make a right triangle?

Answers

Answer:

yes.

Step-by-step explanation:

Write a two-column proof to verify each conjecture: If -1/3n = 12, then n = -36. This is for geometry btw. Any help would be much appreciated, thanks.

Answers

Answer:

Step-by-step explanation:

statement        reasoning

n = -36               given

-1/3 x -36 = 12    multiplcation property of equality

12 = 12                reflexive property

help me and do it out please

2x+4=12

Answers

Answer:

x=4

Step-by-step explanation:

2x=12-4

2x=8

2x/2=8/2

x=4

The answer is x=4 I’m sure

lev buys a drink of $3.05 and a slice of a pizza for $5.40 he now has $12.37 let how much money did teddy have to begin with

Answers

Answer:

12.37 + 5.40 + 3.05 = $20.82

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