Simplify the expression to a + bi form:
(-2 - 6i)?

Answers

Answer 1

The expression (-2 - 6i)-(-2-4i) to a + bi form is 0 - 2i.

Complete question.

Simplify the expression to a + bi form:

(-2 - 6i)-(-2-4i)

Square root of any negative number are expressed as a complex number. For example i = √-1

Complex numbers are generally written in the format z = x+iy

Given the expression (-2 - 6i)-(-2-4i)), in expansion:

(-2 - 6i)-(-2-4i)

= -2 - 6i + 2+4i

Collect the like terms

= (-2 + 2) - 6i + 4i

= 0 - 2i

Therefore the expression (-2 - 6i)-(-2-4i) to a + bi form is 0 - 2i.

Learn more on complex number here: https://brainly.com/question/12375854


Related Questions

rewrite the inequality with absolute value sign: a) -4<x<-1

Answers

Redacte tres propuestas de solución apoyados en las enseñanzas que nos da Jesús sobre la tolerancia, el respeto y la verdad.

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One hamburger and one coke cost $3.20. Three hamburgers and one coke cost $8.00. Find the cost of one hamburger.
$2.40
$2.60
$4.80
$0.80
$2.10

Answers

Answer:

$0.80

Step-by-step explanation:

-3 (1x + 1y = 3.2)

3x + 1y = 8

----------------

-3x - 3y = -9.6

+

3x + 1 y = 8

-------------------

0x -2y = -1.6

÷ -2

-----------------

y = 0.8

one hamburger costs $0.80

it the repeating number 0.362799791799176191... rational or irrational and why

Answers

Answer:

no, because the number is not repeating

Step-by-step explanation:

PLSSSS HELP ME WHOEVER ANSWERS CORRECTLY GETS BRAINLIEST!!!!
1. How would we name the polynomial below? Think about degree and number of terms.
x^4 + 3x^2 - x


2. Simplify by adding
(x + 4) + (2x + 7)


3. Multiply
3x^2(5x^3)


4. Divide
8x^3y^5 / 4x^2y^3

Answers

Answer:

This is what you asked me just now.

Step-by-step explanation:

2. Distribute the -1
(6h + 4) - (2h - 3)

Answers

Answer:

6h+4  -2h +3

Step-by-step explanation:

(6h + 4) - (2h - 3)

Distribute

6h+4  -2h +3

What is the length of the dotted line in the diagram below? Round to the nearest tenth. *Will mark brainliest*

Answers

Answer:

The dotted line is 4.9

Step-by-step explanation:

The lower triangle is a right triangle so we can use the Pythagorean theorem

a^2+b^2 = c^2

where a and b are the legs and c is the hypotenuse

2^2 + 4^2 = c^2

4+16 = c^2

20 =c^2

Taking the square root of each side

sqrt(20) = c

The upper rectangle has a length of sqrt(20) and a height of 2

We can use the  Pythagorean theorem

a^2+b^2 = c^2

where a and b are the legs and c is the hypotenuse  to find the  diagonal

2^2 + (sqrt(20))^2 = c^2

4+20 = c^2

24 = c^2

Taking the square root of each side

sqrt(24) = c

4.898979486=c

Rounding to the nearest tenth

4.9 =c

Please help me with my work

Answers

Answer:

8*4+3*2

Step-by-step explanation:

Answer:

38. hope i'm right

Step-by-step explanation:

Given the equation, 1 + 6k = 25, for some value of k, what is the value of k +7 for the same value
of k?

Answers

Answer:

k + 7 = 11

k = 4

Step-by-step explanation:

1 + 6k = 25

25 - 1 = 6k

24 / 6 = k

k = 4

4 + 7 = 11

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

k = 4

The value of k + 7 = 11

Step-by-step explanation:

1 + 6k = 25

To find the value of k we have to use inverse operations

1 + 6k = 25

1 - 1= 0

25 - 1 = 24

This cancels out the 1 in this equation. 25 becomes 24 now because what we do to one side we do to the other.

6k = 24

To find k we have to divide 6 from 6 and 24

6/6= 0

24/6= 4

Now we are left with the variable k and 4

Therefore, k = 4.

To solve the second part of the equation we plug in k to the equation

k = 4

so the equation becomes 4 + 7

4 + 7 = 11

WHERE ARE THE EXPERTS AND ACE!!!!!!! I NEED HELP PLS SHARE YO SMARTNESS!!!!! WILL GIVE BRAINLIEST AND RATE AND VOTE!!! EASY IM JUST NOT SMART

PLEASE GIVE EXPLANATION

Answers

Answer:

[tex]{ \bf{ \sec( \theta) = \frac{10}{6} }}[/tex]

Step-by-step explanation:

[tex]{ \boxed{ \bf{ \cos( \theta) = \frac{adjacent}{hypotenuse} }}}[/tex]

Adjacent = 6

Hypotenuse = 10

[tex]{ \sf{\sec( \theta) = \frac{1}{ \cos( \theta) } }}[/tex]

therefore:

[tex]{ \sf{ \sec( \theta) = \frac{hypotenuse}{adjacent} }} \\ \\ { \sf{ \sec( \theta) = \frac{10}{6} }}[/tex]

picking brainliest! what's the difference between the union and intersection of two sets??

Answers

Step-by-step explanation:

The union of two sets contains all the elements contained in either set,

The intersection of two sets contains only the elements that are in both sets.

Answer:

Step-by-step explanation:

The union is the set that contains all the elements in both sets ( no repetitions).

The intersection is the set that contains only the elements that are common to both sets.

1. The weight, wky, of a bag of sand is given as 5.6 kg correct to
1 decimal place. Find the range of values in which the actual
weight lies.

Answers

Answer:

5.56

Step-无by-step explanation:

Which equation represents a proportional relationship between
x and y?
A: k/x = y
B: k - x = y
C: k + x = y
D: k * x = y

Answers

Answer:

D: k*x=y

Step-by-step explanation:

a proportional relationship is basically a linear equation (y=mx+b)

Name the relationship: complementary, linear pair, vertical, or adjacent.

Answers

Answer:

1. Supplementary and Linear pair, 2. Adjacent, 3. Adjacent, 4. Complementary and adjacent, 5, Vertical, 6. Adjacent

Step-by-step explanation:

1. is a Linear pair because the two angles form a straight line, this means they are also supplementary because the two angles must add up to 180 degrees which is a straight line.

2. Are adjacent angles, because they share a common side and do not share any interior points.

3. Are adjacent angles, because they share a common side and do not share any interior points.

4. These angles are complementary and adjacent. They both sum to 90 degrees which makes them complementary. They are also adjacent angles, because they share a common side and do not share any interior points.

5. These are vertical angles because they are opposite angles made by intersecting lines.

6. Are adjacent angles, because they share a common side and do not share any interior points.

A baker is building a rectangular solid box from cardboard to be able to safely deliver a birthday cake. The baker wants the volume of the delivery box to be 224 cubic inches. If the width of the delivery box is 3 inches longer than the length and the height is 4 inches longer than the length, what must the length of the delivery box be?

3 inches
7 inches
8 inches
4 inches

Answers

Answer:

4 inches.

Step-by-step explanation:

Let l = length, w = width, and h = height

    The formula for the volume of a rectangular solid would be V = lwh. We are tasked with finding the length of the delivery box. In order to find the length, we need to change the variables so that l is the only variable in the equation.

    The prompt tells us that the width of the box is 3 inches longer than the length. That means that w = l + 3. Likewise, the prompt also informs us that the height is 4 inches longer than the length. Therefore, h = l + 4.

    Now that the variables have been changed so that l is the only variable, we can finally solve for l.

[tex]V=lwh\\\\224=l(l+3)(l+4)\\\\224=l^3+7l^2+12l\\\\0=l^3+7l^2+12l-224\\\\0=(l-4)(l^2+11l+56)[/tex]

    After factoring, we are left with (l - 4)(l² + 11l + 56) = 0. Ultimately, by using the quadratic formula, l² + 11l + 56 = 0 will have imaginary number solutions. However, l - 4 = 0 gives us l = 4. Therefore, the length of the delivery box is 4 inches.

Answer:

4 inches

Step-by-step explanation:

just took test

Complete the following sentence.

A radius is________
the diameter.

Answers

Answer:

1/2

Step-by-step explanation:

The radius is 1/2 of the diameter

a radius is 1/2 the diameter

prove that...sin^4α+sin^2αcos^2α=sin^2α​

Answers

Answer:

Note that LHS means left-hand side and RHS means right-hand side.

Step-by-step explanation:

LHS = sin⁴a + sin²a cos²a

= sin²a (sin²a + cos²a)

At this point, you can use the identity sin²a + cos²a = 1,

= sin²a (1)

= sin²a

= RHS (Proved)

Answer:

Step-by-step explanation:

[tex]\Large \boldsymbol{} \sin^4a+\sin^2a \cos^2a=\sin^2a \\\\\sin^2a(\underbrace{\sin^2a+\cos^2a}_1) =\sin^2a \\\\\sin^2a\cdot 1=\sin^2a \\\\\sin^2a=\sin^2a[/tex]

Please help!!!!!!
Find the radical equivalent 8-2/3 and compute It.

Answers

Answer:

2.71

Step-by-step explanation:

Given 8 - 2/3 = 8(3/3) - 2/3 = 24/3 - 2/3 = 22/3 = 7.333 then the radical is

7.333**(1/2) = 2.71

(26)x = 1, what is the value of x

Answers

Answer:

x = 1/26

Step-by-step explanation:

(26)x = 1

26x = 1

x = 1/26

Banners at the school’s store we’re on sale for $4 off the regular price. Mike brought 5 banners on sale and paid a total of $20. Write and solve an equation to find the regular price of one banner.

Answers

Answer:

$8

Step-by-step explanation:

Let the regular price is x, then:

(x - 4)*5 = 20x - 4 = 20/5x - 4 = 4x = 4 + 4x = 8

Choose the graph that matches the following system of equations: x–3y =-12, 2x - y = 1​

Answers

Hmmm the actual solution should x=3 and y= 5 so I see no points plotted like that in those graphs

Answer:

x=3, y=5

Step-by-step explanation:

use logarithm tables to evaluate
the following
723.7 X 0.0667​

Answers

Answer:

1.68

Step-by-step explanation:

log723.7=2.86

multiplication in log is addition so 2.86+

log0.0667=-1.18

so 2.86+-1.18=1.68

Find a (Round to the nearest tenth). PLS HURRY!!

Answers

Answer:

a = 56.3°

Step-by-step explanation:

tan(a) = 9/6 = 1.5

atan(1.5) = 56.31°

Answer:

[tex]\boxed {\boxed {\sf 56.3 \textdegree}}[/tex]

Step-by-step explanation:

We are asked to find the measure of angle a.

This triangle is a right triangle because of the small triangle in the corner representing a 90 degree or right angle. Therefore, we can use trigonometric functions. The three main functions are:

sinθ=opposite/hypotenuse cosθ= adjacent/hypotenuse tanθ= opposite/adjacent

The side measuring 6 is adjacent or next to angle a. The side measuring 9 is opposite angle a. Therefore, we will use the tangent function.

[tex]tan \theta= \frac{ opposite}{adjacent}[/tex]

[tex]tan \ a = \frac{ 9}{6}[/tex]

Since we are solving for an angle measure, we use the inverse trigonometric function.

[tex]tan ^{-1} * tan \ a = tan ^{-1} * \frac{9}6}[/tex]

[tex]a= tan ^{-1} * \frac{9}6}[/tex]

[tex]a= 56.30993247[/tex]

Round to the nearest tenth. The 0 in the hundredth place tells us to leave the 3 in the tenth place.

[tex]a \approx 56.3[/tex]

The measure of angle a is approximately 56.3 degrees.

Subtract these polynomials.
(3x^2 - 2x + 5) - (x^2 + 3) =
O A. 4x² - 2x + 2
OB. 4x^2 - 2x + 8
O C. 2x^2- 2x + 8
D. 2x^2- 2x + 2

Answers

The answer would be D.

helpppppppppppppp meeeeeeeeeeeeeeeee plsssssssssssssssss!!!!!!!!!!!!!

Answers

Answer:

a=13

Step-by-step explanation:

-90=-6a-12

-6a=-78

a=13

Answer:

a=13 well as u can see the other comment already gave an explanation of y it is a=13 and i completely agree with it have a nice afternoon,night,or day to u

Step-by-step explanation:

What is 1/2 in money

Answers

Answer: 2 quarters

Step-by-step explanation: I know this because

Answer: $0.50

Step-by-step explanation:

Well, lets see what's 1 in money. $1. Now we need to half that, so 1/2 in money would be 50 cents or $0.50. Hope this helped.

Solve the following.
2x^2-7x-4/6x^2+7x+2<0
Can someone explain how to solve this.

Answers

Answer:

Which one have same variable gather or decrease up

Step-by-step explanation:

2x^2-4.6x^2=1.4x^2

-7x+7x=0

1.4x^2+2<0

x<0

Write the domain and range of the function f(x)=3x+5

Answers

Answer:

-1.6

Step-by-step explanation:

0 = 3x + 5

-3x = 5 /÷(-3)

x = -5 ÷ 3

x = -1.6 -5/3

Chris is saving for a down payment to buy a house. The account earns 3.9% interest compounded semi-annually, and he wants to have $8,000 in 10 years. What must his principal be? Round your answer to the nearest cent. Do not round at any other point in the solving process; only round your answer.

Answers

Answer:

$5436.82

Step-by-step explanation:

8000 = P(1 + .039/2)^10*2

[tex]\frac{8000}{\left(1+\left(\frac{0.039}{2}\right)\right)^{20}}=5436.82538[/tex]

formula of (a^3+b^3)​

Answers

Answer:

[tex](a+b)(a^2-ab+b^2)=(a^3+b^3)[/tex]

Step-by-step explanation:

The eighth term of a linear sequence is 26. The term-to-term rule is 'add 3
Work out the fourth term of the sequence.
Explain the method you used to solve this problem.

Answers

Common difference=d=3

Let a be first term

[tex]\\ \rm\longmapsto a_8=a+7d[/tex]

[tex]\\ \rm\longmapsto 26=a+7(3)[/tex]

[tex]\\ \rm\longmapsto a=26-21[/tex]

[tex]\\ \rm\longmapsto a=5[/tex]

Now

[tex]\\ \rm\longmapsto a_4=a+3d[/tex]

[tex]\\ \rm\longmapsto a_4=5+3(3)[/tex]

[tex]\\ \rm\longmapsto a_4=5+9[/tex]

[tex]\\ \rm\longmapsto a_4=14[/tex]

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