Simplify the expression to a + bi form:
(1 – 6i) + (12 + i)

Answers

Answer 1

[tex]\\ \sf\longmapsto (1-6i)+(12+i)[/tex]

[tex]\\ \sf\longmapsto 1-6i+12+i[/tex]

[tex]\\ \sf\longmapsto 1+12-6i+i[/tex]

[tex]\\ \sf\longmapsto 13-5i[/tex]

Answer 2

[tex]\sf{13+(-5i) }[/tex]

Step-by-step explanation:

we have to Simplify the expression(1 – 6i) + (12 + i) to a + bi form

[tex](1 – 6i) + (12 + i)\\\\1-6i+12+i\\\\1+12-6i+i\\\\13-5i\\\\13+(-5i)[/tex]


Related Questions

See photo please help

Answers

Answer:

2/3 is right one . option no B

Lisa estimates the product 351 x 34 is more than 10,000. Gene disagrees. He estimates the product is less than 10,000. Whose estimate is better?

Answers

Answer:

Lisas

Step-by-step explanation:

You have to multiply 351X34

then you subtract 10,000, 10,000

someone help me if you can :)

Answers

Answer:

the answer is 126,321,000

Hi, I need help on this, please help me out.

Answers

The decimal point should be moved 4 places to the right

Find the x-intercept and y-intercept of the line. 7x+5y=-15

Answers

Answer:

The x-intercept is (-2 1/7, 0).

The y-intercept is (0, -3).

Step-by-step explanation:

To find the y-intercept, substitute x with zero.

To find the x-intercept, substitute y with zero.

Finding the y-intercept by substituting x with zero:

7*0 + 5y = -15

5y = -15

y = -3

The y-intercept is (0, -3).

Finding the x-intercept by substituting y with zero:

7x + 5*0 = -15

7x = -15

x = -15/7

x = -2 1/7

The x-intercept is (-2 1/7, 0).

Solve for x: 0.4x+3.8=1.6x+1.2-0.6x
please help me!

Answers

I got x = 4.3 (I cant type it but there’s a line above 3 which means there’s no end)

Question 2 options:

If Mike left his home at 8:00 am, what time did he return home?

Question 3 (1 point)


Compare the time between Mike going to his destination and arriving home from his destination. (Include time units in your answer.)


Question 4 (1 point)
Graph - Mike's Day Off

Write a graphing story about "Mike's Day Off'.

Be sure to explain what is happening during each interval

Answers

2. 7 PM
3. Mike went continuously towards his destination until hour 3. And the total time he went back home was three hours (hrs 8-11.)
4.Mike new this was the time. He was going to go on vacation!! He went on for 3 hours straight until he took a break for 4 hours. Mike went back on the road again for 2 hours until he needed more gas. He then seen candy bars and really wanted some. And then he had to go to the bathroom. So that took an hour. Mike buckled down for the last hour to go back to home sweet home.

1. What is the mean change in the forecasted high temperatures over the next 7 days? Remember, this can be found by averaging the values in the Difference column for the high temperatures. Show your work and steps. If your answer is not an integer, explain what two integers your answer is between.

Answers

Answer: 92.5

Step-by-step explanation:

96 93 93 92 91 84 are your highs and to find the mean you cross one on each side until there is only one or 2 left.

you are left with 93 and 92 so you add them together and divide by two to get 92.5 which is your answer

HELP
Linear function t has an x-intercept of −1 and a y-intercept of 5. Which graph best represents t?

A) Graph A

B) Graph B

C) Graph C

D) Graph D

Answers

I think it’s B I’m not sure about it but I hate wan I gat it wrong.

The graph D has a x-intercept = −1  and y-intercept = 5

How to determine the graph?

The given parameters are:

x-intercept = −1

y-intercept = 5

The above means that the graph crosses the x-axis at -1, and it crosses the y-axis at -5

From the list of options, the graph that satisfies the above highlights is graph D

Hence, the graph D has a x-intercept = −1  and y-intercept = 5

Read more about linear graphs at:

https://brainly.com/question/14323743

A line that includes the points ( – 8,9) and ( – 10,d) has a slope of 6. What is the value of d?

Answers

Answer:

The value of d is -3.

Step-by-step explanation:

We are given that a line that includes the two points (-8, 9) and (-10, d) have a slope of 6. We want to determine the value of d.

Recall that the formula for slope is:

[tex]\displaystyle m = \frac{\Delta y}{\Delta x}[/tex]

We know that the slope is 6. Substitute:

[tex]\displaystyle (6) = \frac{(d) - (9) }{(-10) - (-8)}[/tex]

Solve for d:

[tex]\displaystyle \begin{aligned} 6 & = \frac{d - 9}{-10 + 8} \\ \\ 6 & = \frac{d - 9}{-2} \\ \\ -12 & = d - 9 \\ \\ d & = -3 \end{aligned}[/tex]

In conclusion, the value of d is -3.

Help me please help me help please

Answers

Answer:

y = 4x + 4

y = rise/run + y-intercept

Choose the number sentence that illustrates the distributive property of multiplication over addition.

A. 2x(5+ 6) = (2 x 5) + 6

B. 2x (5 + 6) = (2 x 5) + (2 x 6)

C. 2x(5 + 6) = (2+5)* (2 +6)

Answers

Answer:

One number sentence shows the distributive property of multiplication over addition. ... (5 + 4) × 3 = (5 × 3) + (4 × 3) is an example of the distributive property. (5 − 4) × 3 = 1 × 3. 1 × 3 is not equal to (1 × 3) − (1 × 3).

Step-by-step explanation:

A

Kim bought a blouse for $17.16, a skirt for $28.19, and a purse for $35.14. The sales tax was 12%. If she hands the clerk a $100 bill how much will she get back?

Answers

Based on the cost of her items, if Kim hands over $100, she will get back $9.85.

The total that Kim will pay includes the cost of all three items as well as the sales tax.

The total cost of the three items is:

= Blouse + Skirt + Purse

= 17.16 + 28.19 + 35.14

= $80.49

The total including the sales tax will be:

= Cost + (Cost x Sales tax)

= 80.49 + (80.49 x 12%)

= $90.15

The change she will get is:

= 100 - 90.15

= $9.85

In conclusion, Kim will get a change of $9.85.

Find out more at https://brainly.com/question/13706696.

simplify the expression 2(xy+2x)-3xy​

Answers

Answer: Simplify each term.

Tap for more steps...

4

x

2

6

x

y

+

6

y

x

9

y

2

Add  

6

x

y

and  

6

y

x

.

4

x

2

+

0

9

y

2

Add  

4

x

2

and  

0

.

4

x

2

9

y

2

Step-by-step explanation:

Answer:

1. 4x-xy

Step-by-step explanation:

2(xy+2x)-3xy=2xy+4x-3xy

=-xy+4x

=4x-xy

A camp counsellor is fencing off a rectangular play area for the younger campers.

a) if she has 16m if fencing, how should she arrange the fencing to provide the greatest possible area?

b) How should she alter her diagram if she can use the dining hall as one of her boundaries?​

Answers

Answer:

Step-by-step explanation:

a) if she had 16 m of fencing

all possible outcomes

4 by 4

2 by 6  

1 by 7

the greatest should be 4 by4

b) she could alter it to 2 by 6

will mark brainlist
Simplify. 3/2(x+3/4)−(x+1)

5/2x+17/8

12x+17/8

1/2x+1/8

Answers

Answer:

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

Step-by-step explanation:

Remove the parenthesis

What percent is 11÷88

Answers

Answer:

hello

Step-by-step explanation:

it must be 0,125

hope it helps

Hi! I am giving the community a chance, will give brainliest if you answer this question for 20 points

Answers

Answer:

Step-by-step explanation:

Lol, so you start by looking at two of your fingers.

You pull up two more fingers.

To find the answer, you add those two numbers (two and two), which gives you four.

Final Answer: 'Four' in words or 4 in numbers.

Hope you found this helpful, or at least amusing.

Can someoe help?
7x-24=6x-2

Answers

Answer:

[tex]7x - 24 = 6x - 2 \\ collecting \: like \: terms \: \\ 7x - 6x = - 2 + 24 \\ 1x = 22 \\ x = \frac{22}{1} \: \: or \: \: x = 22[/tex]

Answer:

x = 22

Here's how i got it ^u^

7x - 24 = 6x - 2

Step 1: Subtract 6x from both sides.

 7x - 24 = 6x - 2

- 6x         - 6x

   x - 24 = - 2

Step 2: Add 24 to both sides.

x - 24 = - 2

 + 24   + 24

which TA-DA!!! it equals x = 22

How to answer this question

Answers

I don’t know tbh cause I don’t know what that is
The answer to this is seven

A bird park has black and white birds in the ratio of 8 to 2 as shown below:



What is an equivalent ratio for black birds to white birds? Explain how you arrived at your answer in complete sentences.

Answers

Answer:

4:1

Step-by-step explanation:

So, although the ratio 8:2 is technically correct, it is not in its simplest form. To get it into its simplest form you need to find the largest multiplying factor that is the same for both numbers. In this case, 2 is the largest factor because it goes into both 2 and 8. Now, you need to divide the entire ratio by 2 the reach the simplest form, so 8 divided by 2 equals 4, and 2 divided by 2 equals 1. This gives us our final ratio of 4:1.

help me please with the question I will mark BRAINLIEST ​

Answers

Answer:

4^126^78^57^3

Step-by-step explanation:

apply the indices law

multiple means additiondivision means subtraction you are suppose to add the powers or subtract where necessary4^9x 4^3= 4^56^5x6^2=6^78^6÷8=8^57^8÷7^6=7^2

What is the equation of a line parallel to y=-4x-7 that passes through 2,29

Answers

parallel means the slopes are equal, so -4 stays the same, and for the line to fall on (2,29) the y int must be 37.

so, answer: y=-4x+37

what is 13q - 9q + 5 = 17

Answers

the answer is: q=3

start by combining like terms (13q - 9q) which would leave you with 4q + 5 = 17. subtract 5 from both sides and you're left with 4q = 12. divide by 4 on both side and you get q = 3

Answer:

q=3

Step-by-step explanation:

13q - 9q + 5 = 17

13q - 9q = 17 - 5

4q = 12

4q/4 = 12/4

q = 3

100 points and brainleist to whoever gets these right

Answers

Answer:

the answer is 8 that is

4/1/2

4÷1/2

4×2/1=

8

Answer:

#14/(1/2) = 4*2 = 8#2(12.034) + 5/8 = 12.034 + 0.625 = 12.659#3(2/3)/(1/6) = (2/3)*6 = 4#4(3.406) + 3 4/7 = 3.406 + 3.571 = 6.977 (4/7 is rounded to the nearest thousandths)#53/5             = Rational0                = Whole & Integer & Rational -25/5 = -5  = Whole & Integer & Rational

using de moivre's theorem to find square roots of (2-2√ 3 i) ​

Answers

Let z = 2 - 2√3 i. In polar form, we have

[tex]z = |z| e^{i\arg(z)}[/tex]

where

[tex]|z| = |2-2\sqrt3| = \sqrt{2^2 + (-2\sqrt3)^2} = 4[/tex]

[tex]\arg(z) = \tan^{-1}\left(-\dfrac{2\sqrt3}2\right) = -\tan^{-1}(\sqrt3) = -\dfrac\pi3[/tex]

Equivalently,

[tex]z = 4\left(\cos\left(-\dfrac\pi3\right) + i\sin\left(-\dfrac\pi3\right)\right)[/tex]

Let w be a complex number such that w ² = z. By DeMoivre's theorem,

[tex]z = 4\left(\cos\left(-\dfrac\pi3\right) + i\sin\left(-\dfrac\pi3\right)\right) \\\\ \implies z^{1/2} = 4^{1/2} \left(\cos\left(\dfrac{-\frac\pi3+2k\pi}{2}\right) + i \sin\left(\dfrac{-\frac\pi3+2k\pi}{2}\right)\right)[/tex]

where k ∈ {0, 1}. So the two square roots of z are

[tex]z^{1/2} = \begin{cases}2\left(\cos\left(-\dfrac\pi6\right) + i\sin\left(-\dfrac\pi6\right)\right) & \text{for }k=0 \\\\ 2\left(\cos\left(\dfrac{5\pi}6\right) + i\sin\left(\dfrac{5\pi}6\right)\right) & \text{for }k=1\end{cases}[/tex]

[tex]z^{1/2} = \begin{cases}2\left(\dfrac{\sqrt3}2 - \dfrac12 i\right) & \text{for }k=0 \\\\ 2\left(-\dfrac{\sqrt3}2 + \dfrac12 i\right) & \text{for }k=1\end{cases}[/tex]

[tex]\boxed{z^{1/2} = \begin{cases}\sqrt3 - i & \text{for }k=0 \\ -\sqrt3 + i & \text{for }k=1\end{cases}}[/tex]

PLEASE HELP ITS MATH THANK YOUUUU

Answers

The answer is 5.6 miles!

What kind of fraction is 14/6

Answers

It is an Improper fraction

Yes, It is an improper fraction

what is 5+6? Show your work

Answers

Answer:

11

Step-by-step explanation:

2+2+1(5)+3+3(6) =11

Which of the following is true?

A. |−8| < 6
B. |−6| < |−8|
C. |8| < |−6|
D. |−6| < −8

Answers

Answer:

B. |-6| < |-8|

Step-by-step explanation:

I used a calculator, pls let me know if im incorrect

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