Write (3 + 4i) + (8 + 2i) as a complex number in standard form.
А.11 - 6i
В.5 + 12i
C.7 + 10i
D. 11 + 61

Answers

Answer 1

Answer:

D. 11+6i

Step-by-step explanation:

3+8+4i+2i

11+6i


Related Questions

Order the expressions by choosing >,<,or =

Answers

Answer:

==<

Step-by-step explanation:

The applicable rules of exponents are ...

  (a^b)(c^b) = (ac)^b

  (a^b)(a^c) = a^(b+c)

__

1. 3^3 × 5^3 = (3×5)^3 = 15^3 . . . . equal

2. 3^5 × 3^3 = 3^(5+3) = 3^8 . . . . equal

3. 3^5 × 5^3 = 3^5 × (5^(5 -2) = (3^5 × 5^5) × 5^(-2)

  = 15^5 × 5^-2 < 15^15 . . . . less than

_____

Additional comment

Your calculator can evaluate these expressions so you can see their relationships.

Select the correct answer.
If you divide -16 into 5 equal parts, how much is each part equal to?
A.
-4
B.
-3.2
C.
+2.4
D.
+5

Answers

Answer:

B) -3.2

Step-by-step explanation:

-16/5 = -15/5 - 1/5 = -3 - 0.2 = -3.2

If f(x) = 4x − 1 and g(x) = −3x + 2 (a) Find ℎ(x) = f(x) + g(x)

Answers

Answer:

x+1

Step-by-step explanation:

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

f
(
x
+
2
)
=
3
x
+
10
Explanation:
f
(
x
+
2
)

means replace all the

x
s

with

(
x
+
2
)
f
(
x
)
=
3
x
+
4
f
(
x
+
2
)
=
3
(
x
+
2
)
+
4
Now simplify
f
(
x
+
2
)
=
3
x
+
6
+
4
f
(
x
+
2
)
=
3
x
+
10

3. What is the area of the figure? ​

Answers

The area would be 1963.5
Hope this helps!

Answer:

981.75

Step-by-step explanation:

The area of a circle is πr^2, but this a semi circle, so you need to half it.

Jeremiah is taking two of his friends out for pancakes. If he spends $17.55 on their meals and has $26 to spend in total, Jeremiah’s pancakes must cost no more than what amount?
Inequality Question

Answers

Answer:

$8.45

Step-by-step explanation:

if he has $26 to start and spends 17.55 on his friends, he has 8.45 leftover to spend on himself, but since he bought his friends pancakes for 17.55 their pancakes would have cost 8.775 each which suggests that Jeremiah likely cannot afford his own pancakes

Amy is solving the equation using the steps shown.



Which could be the correct next step in solving the equation?


Subtract 2 from both sides of the equation to yield (x 2 – 16) = 0.
Subtract 2 from both sides of the equation to yield (, x , 2, – 16) = 0.

Multiply (x 2 – 16)(x + 2) on the left side of the equation to yield x 3 + 2x 2 – 16x – 32 = 0.
Multiply (, x , 2, – 16)(, x, + 2) on the left side of the equation to yield , x, , 3, + 2, x, , 2, – 16, x, – 32 = 0.

Factor (x 2 – 16) on the left side of the equation to yield (x + 4)(x – 4)(x + 2) = 0.
Factor (, x , 2, – 16) on the left side of the equation to yield (, x, + 4)(, x, – 4)(, x, + 2) = 0.

Add 16 to both sides of the equation to yield x 2(x + 2) = 0.
Add 16 to both sides of the equation to yield , x , 2, (, x, + 2) = 0.

Answers

The correct next step Amy could take is to factor (x^2 - 16) on the left side of the equation to yield (x + 4)(x – 4)(x + 2) = 0.

The equation is given as:

[tex]\mathbf{(x^2 - 16)(x + 2) = 0}[/tex]

The possible next steps are:

1. Expand the equation as follows

[tex]\mathbf{x^3+2x^2-16x-32 = 0}[/tex]

2. Express x^2 -16 as a difference of two squares as follows

[tex]\mathbf{(x + 4)(x- 4)(x + 2) = 0}[/tex]

However, the correct step in this case is to factor x^2 - 16 as a difference of two squares to give [tex]\mathbf{(x + 4)(x- 4)(x + 2) = 0}[/tex]

This is so, because the question says Amy is trying to solve for variable x.

This step will ensure that she gets the possible values of x, unlike expanding the whole equation .

Hence, the correct next step is [tex]\mathbf{(x + 4)(x- 4)(x + 2) = 0}[/tex]

Read more about equations at:

https://brainly.com/question/7674413

what is the cosine rule

Answers

Answer:

The sum of the squares of the lengths of the other sides minus twice the product of the other two sides multiplied by the cosine of angle contained between them equals the square of the length of any side of a given triangle.

Step-by-step explanation:

hope it helps

when a card is drawn from a well shuffled pack of 52 cards , find the probability of getting the card a club or a jack​

Answers

Answer:  4/13

Explanation:

There are 4 jacks (one of each suit) and 13 clubs. This gives 4+13 = 17 cards that are either jack or club. However, we double-counted the jack of clubs which means there are really 17-1 = 16 cards that are one or the other or both.

This is out of the 52 total mentioned. So we end up with the probability:

16/52 = (4*4)/(4*13) = 4/13

Julio just bought a $267,900 house. He had a 20 year mortgage with a fixed rate of 5. 875%. Julio’s monthly payments are $1,558. 9. What percent of the purchase price was Julio’s down payment? a. 13% b. 15% c. 18% d. 20%.

Answers

Julio's down payment was 22.08% of the purchase price.

Given that Julio just bought a $ 267,900 house, and he had a 20 year mortgage with a fixed rate of 5.875%, and Julio's monthly payments are $ 1,558, to determine what percent of the purchase price was Julio's down payment the following calculation must be performed:

(267,900 x 1.05875) - (1558 x 12 x 20) = X

582,682.50 - 373,920 = X

208,762.50 = X  

267,900 = 100

208,762.50 = X

208,762.50 x 100 / 267,900

77.92 = X

100 - 77.92 = 22.08

Therefore, Julio's down payment was 22.08% of the purchase price.

Learn more about maths in https://brainly.com/question/25917920

solutions of the quadratic $x^2 + 7x - 18 = 0.$

Answers


(x^2+7x-18) can be factored into (x+9)(x-2). Set each part equal to zero and solve for x.

x+9=0 => x=-9
x-2=0 => x=2

I’m guessing the dollar signs aren’t supposed to be there.

The solution of the quadratic equation x² + 7x - 18 = 0 will be 2 and negative 9.

What is the solution to the equation?

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

The quadratic equation is given as ax² + bx + c = 0. Then the degree of the equation will be 2.

The quadratic equation is given below.

x² + 7x - 18 = 0

Factorize the quadratic equation, then we have

x² + 7x - 18 = 0

x² + 9x - 2x - 18 = 0

x(x + 9) - 2(x - 9) = 0

(x + 9)(x - 2) = 0

x = 2, -9

The arrangement of the quadratic condition x² + 7x - 18 = 0 will be 2 and negative 9.

More about the solution of the equation link is given below.

https://brainly.com/question/545403

#SPJ2

Please help, its Geometry

Answers

Hope it helps just read it and type it in XD

Help tbh I have no idea to what to do rn

Answers

4x+1=17 ,17-1= 16., 16/4=4 The answer is x=4

If a die is thrown, the probability of getting even number is
a)1/2 b)1/6 c)1/3 d) 2/3

Answers

Answer:

A 1/2

Step-by-step explanation:

Its a half chance since theres 6 sides so 1/2:)

Sample space of a throwing of a die - {1, 2, 3, 4, 5, 6}Number of trial = 6Numbers which are even = 2, 4, 6Number of number which are even = 3Therefore, probability of getting an even number [tex] = \frac{3}{6} = \frac{1}{2} [/tex]

Answer:

[tex]b) \frac{1}{2} [/tex]

Hope you could get an idea from here.

Doubt clarification - use comment section.

How i can answer this question, NO LINKS, if you answer correctly i will give u brainliest!

Answers

Answer:

It is too garlicky.

Step-by-step explanation:

lol, uhm, this is a little bit of a strange question ngl, but I guess it's testing you on measurements and units, right?

Well, 12 gloves of garlic for every 900 mL of sauce in comparison to 8 cloves of garlic for every 500 mL of sauce is quite a difference to be honest, might even be too much in her opinion. 8 cloves for every 500 mL is more than 12 cloves for every 900 mL, so I'd say she'll think it's too garlicy.

I apologize, in advance, if I am incorrect.

find the degree desirous the number of turning point in the y-intercept of the given graph of each polynomial function below
pasagot po ako​

Answers

Answer:

2

Step-by-step explanation:

There are two turning points, therefore this is a cubic function. The degree is 3

26. A(-4, -1), B(-4, 6), C(2,6), D(2, -4)

Answers

Answer:

I NEEEEEEEED TO SEEEE GRAPHHHHHHHHHHHH

Step-by-step explanation:

Classify each of the following expressions by selecting the polynomial type.

9xy5

A)monomial
B)binomial
C)trinomial
D)polynomial

Answers

Answer:

i dont know just need points

Step-by-step explanation:

can someone help with this ​

Answers

[tex]R.H.S\\\\=(a+b)(a^3-a^2b-ab^2+b^3)\\\\=a^4-a^3b-a^2b^2+ab^3 + ba^3-a^2b^2-ab^3+b^4\\\\=a^4+b^4-2a^2b^2\\\\\neq a^4 +b^4\\\\\\\text{Hence, }(a+b)(a^3-a^2b-ab^2+b^3) =a^4+b^4 ~ \text{is not true.}[/tex]

Ok done. Thank to me :>

PLZ HELP ME
NO LINKS PLZ

Answers

Answer:

the domain is -11,10 but i didnt know if you wanted that or not

Step-by-step explanation:

PLEASE, LAST POINTS! ( GIVING BRAINLIEST) TO GET BRAINLIEST ANSWER 6 and 8 PLEASE. LAST 10 POINTS!

Answers

Answer:

6; 6⁒2

10; 10⁒2

0; 3(0)+3

1; 3(1)+3

2; 3(2)+3

3; 3(3)+3

4; 3(4)+3

Step-by-step explanation:

each line is in order.

Answer:

  6. inputs: 2, 6, 10

  8. inputs: 0, 1, 2, 3, 4

Step-by-step explanation:

Use your knowledge of arithmetic facts.

6.

x = 2, 2÷2 = 1

x = 6, 6÷2 = 3

x = 10, 10÷2 = 5

__

8.

x = 0, 3×0 +3 = 3

x = 1, 3×1 +3 = 6

x = 2, 3×2 +3 = 9

x = 3, 3×3 +3 = 12

x = 4, 3×4 +3 = 15

PLEASE ANSWER FAST....Which expressions have a value equal to or greater than 13?

I WILL MARK BRAINLIEST

Answers

Answer: D and B

Step-by-step explanation:

D: 10/10 can be simplified to 1/1, or 1. 1 times 13 is equal to 13.

B: 4 x 13 is simply 52.

Hope this helps!

A. 5/6 x 13 = 10.83

B. 4 x 13 = 52

C. 3/4 x 13 = 9.75

D. 10/10 (1) x 13 = 13

B. 4 x 13 & D. 10/10 (1) x 13 are your answers.

X cube+6x-16=0
find all solutions by factoring.
answers
(-2,8)
(-8,2)
(2,8)
(-8,-2)

Answers

Answer:

  (b)  {-8, 2}

Step-by-step explanation:

The given equation

  x³ +6x -16 = 0

cannot be factored in integers. It has one irrational real root near x=1.759, and two complex roots.

__

Perhaps you want to factor ...

  x² +6x -16 = 0

  (x +8)(x -2) = 0

This has solutions x = -8 and x = 2 that make the factors be zero.

_____

Additional comment

"Cubed" refers to an exponent of 3.

Answer:

Option b] (2,-8)

Step-by-step explanation:

⇒ x³ + 6x - 16 = 0

♦ the value of one root is irrational and other two are complex roots.

⇒ x² + 6x - 16 = 0

⇒ (x + 8)(x - 2) = 0

x = 2 , -8

Which expression is equivalent to 3/5x +3

2/5x + 1/5x

4/5x - 1/5x + 3

2/5x + 3 3/5x -1

1 + 3/5x + 2

1 +x/5 + 2

1 + 2/5x +3

Answers

3/5 c 3 + 3 is equivalently

solve pls brainliest

Answers

I'm just doing this for achievement sorry bro

Step-by-step explanation:

dud

A musician has just purchased a theremin — an instrument that can be played by moving your hands in the air. For every 30 centimeters that she moves her hand away from the theremin’s antenna, the pitch of the theremin’s sound drops 500 hertz. By how many hertz does the pitch drop for every meter that she moves her hand away?

Answers

Answer:

1665 hertz

Step-by-step explanation:

30 x 3.33 = 1 (1 meter) so 500 x 3.33 = 1665 (1 meter of movement)

May I please receive help?

Answers

no

.........................................................

30 points! "A triangle with the side lengths of these numbers can not exist: 9, 3, and __?"

Answers

Answer:

A triangle with the side lengths of these numbers can not exist: 9,3 and 6

Step-by-step explanation:

hope it helps

Step-by-step explanation:

Let the third side be x

We know that

Sum of two sides of a triangle must be greater than the third side

So,

9 + 3 > x

12 > x (1)

Also, difference of two side of triangle must be smaller than the third side

9 - 3 < x

6 < x (2)

From 1 and 2 we concluded

6 < x < 12

The length of third side would lie between 7 to 11

A large bowl and a small bowl both contain gems. of the gems in each bowl are red. All the gems from the two bowls are now put into a third bowl. What fraction of the gems in the third bowl will be red?

Answers

You don’t say how many of the gems in each bowl are red. With this information, all of the gems in the third bowl are red.

Of the 16 new students in a swim class, 6 said they knew how to do the butterfly stroke. Write a ratio that is equivalent to 6/16.

Need answer ASAP. I will provide brainliest in this Q.

Answers

ANSWER: 3:8
EXPLANATION: 6/16 = 3/8

WHOEVER ANSWERS FIRST AND CORRECTLY GETS BRAINLIEST!
9y + 2 = 58; {4,5,6}
Please show your work.

A, Y=4
B, Y=5
C, Y=6

Answers

Answer:

6

Step-by-step explanation:

Replace y with each of your answers and then solve from thwre.

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