Which addition expression
has the sum 8 - 3i ?
(9 + 2i) + (1 - i)
(9 + 4i) + (-1 - 71)
(7 + 2i) + (1 - 1)
(7 + 4i) + (-1 - 71)

Answers

Answer 1
B. (9+4i)+(-1-7i)

This is because when you add the terms, the 9 becomes an 8 and the 4i becomes a negative 3i.

Related Questions

Brandon owns a car that has a value of $6,043 and a boat that has a value of $950. He owes $4,740 to credit cards and has stocks valued at $10,426. Using these assets and liabilities, what is Brandon's net worth?
A.
$12,679
B.
$10,779
C.
$1,307

Answers

Answer:

This puts Brandon at a net worth of $12,679. So, your answer is option A.

Step-by-step explanation:

Find the value of y that makes the equation y= 2/3 x-4 true when x= 9.

a 2
b 4
c 6
d 10

Answers

Lol whoever made these multiple choice answers are wrong. It should be 3.3333

Answer:

a. 2

Step-by-step explanation:

Plugging in 9 for x and 2 for y we get: 2=2/3(9)-4

2/3 times 9 = 6

6-4 is 2

When solved we get 2=2 this is true.

A 25 foot ladder leans against a house. How far is the foot of the ladder from base of the building if the top of the ladder is 30 feet from the ground?

Answers

Answer:

15ft

Step-by-step explanation:

Because the Pythagorean theorem stats [tex]A^{2}+B^{2}=C^{2}[/tex] the first leg, the unknown leg would be A. The leg that is the side of the house would be substituted in for B. The length of the ladder would be C. Thus [tex]x^{2}+20^{2}=25^{2}[/tex], then you would simplify it to [tex]x^2+400=625[/tex] then you would subtract 400 from both sides. Then that would equal [tex]x^{2}=225\\[/tex]. Then you would square root both sides giving you [tex]x=15\\[/tex].


In the diagram below, AB is parallel to CD. What is the value of x?
A. 30
B. 60
C. 150
D. 120

Answers

Answer:

C. 150

Step-by-step explanation:

x° + 30° = 180°...(sum of interior angles)

x° = 180° -30°

x°= 150°

x= 150

The value of x° in the given diagram is 150°. This is obtained by using the pair of interior angles formed along a transverse when passing through parallel lines.

What are the interior angles?The angles that lie inside or in-between region of the parallel lines when a transverse passes through them are said to be pair of Interior angles. These angles are on the same side of the transverse.The sum of these angles is 180°.

What are the verticle angles?

The verticle angles are opposite to each other when two lines are intersected at a point. Those angles are the same in size.

Calculating the angle x:

It is given that line AB is parallel to line CD and transverse is making angles with these lines.

The angles are x° and 30°.

The angle of 30° is at the exterior side of these lines at the point of intersection of line CD and the transverse line. So, it forms a verticle pair of angles with the angle opposite to it.

Thus, the angle opposite to it also becomes 30°. This opposite angle lies inside the parallel lines. So it forms a pair of interior angles with a given angle x.

Since we know that sum of pair of interior angles = 180°, we get

x° + 30° = 180°

⇒ x° = 180° - 30°

⇒ x° = 150°

∴ x = 150°

Thus, the angle x = 150°. So, option C is correct.

Learn more about interior angles here:

https://brainly.com/question/16976757

#SPJ2

Which expression is equivalent to StartFraction (4 p Superscript negative 4 Baseline q) Superscript negative 2 Baseline Over 10 p q Superscript negative 3 Baseline EndFraction? Assume p not-equals 0, q not-equals 0. StartFraction 25 p Superscript 10 Baseline Over 4 q Superscript 8 Baseline EndFraction StartFraction 2 q Over 5 p Superscript 5 Baseline EndFraction StartFraction p Superscript 7 Baseline q Over 160 EndFraction StartFraction 125 p Superscript 11 Baseline q Over 2 EndFraction

Answers

Answer:

C. [tex]\frac{p^7q}{160}[/tex]

Step-by-step explanation:

Answer: C

Step-by-step explanation:

Find the area of a regular pentagon with an apothem of 11 units. *
364 square units
O 440 square units
516 square units
O 166 square units

Answers

Answer:

440 square units

Step-by-step explanation:

We can find half of a side of the pentagon with the expression

[tex]tan(36\°)=\frac{s_{half} }{11}[/tex]

Because, as a regular polygon, all its sectors have the same central angle, and the apothem divides equally each sector in two equal parts.

[tex]s_{half} \approx 8[/tex]

Therefore, half of a side is 8 units long, which means each side measures 16 units.

Now, the area of a penthagon is defined by

[tex]A=\frac{p \times a}{2}[/tex]

Where [tex]p[/tex] is the perimeter and [tex]a[/tex] is the apothem. Where the perimeter is the sum of all sides, which is 80 units.

[tex]A= \frac{80 \times 11}{2} =440 \ u^{2}[/tex]

Therefore, the right answer is the second choice.

Hey guys can yall help me plzz? Explain how u found the answer too plzz! 20 points?

Math Problem: An airplane traveled 5.7 x 102 miles per hour for 1.4 x 101 hours. How far did the airplane travel?

Answers

Answer:

82209,96 miles

Step-by-step explanation:

1. 5,7 x 102 = 581,4 miles/hour

And

1,4 x 101 = 141,4 hours

2. 141,4 (hours) x 581,4 (miles) ÷ 1 (hour) = 82209,96 miles

It's the rule of three...

I hope it helped you!

The quotient of fifteen and three minus four

Answers

Answer:

1

Step-by-step explanation:

(15 divided by 3) - 4

5-4=1

A 25 foot ladder leans against a house. How far is the foot if the ladder from base if the building if the top of the ladder is 20 feet from the ground?

Answers

Answer:

C.

Step-by-step explanation:

x^2+20^2=25^2

x^2+400=625

x^2=225

x=15

What is the volume of the cylinder? Express the answer in terms of Pi.


A cylinder with a diameter of 8 centimeters and height of 18 centimeters.


Recall the formula V = pi r squared h.

288 pi Centimeters cubed

1,152 pi Centimeters cubed

1,296 pi Centimeters cubed

2,592 pi Centimeters cubed

Answers

Answer:

288 pi Centimeters cubed

Step-by-step explanation:

To find the volume of  the cylinder with diameter of 8 centimeters and height of 18 centimeters, we will follow the steps below:

First, write the formula for calculating the volume of a cylinder

volume of a cylinder = πr²h

where r is the radius and h is the height of the cylinder

from the question given, height h = 18 cm    and diameter = 8 cm

but diameter = 2r, this implies that r=[tex]\frac{d}{2}[/tex]    hence radius r = [tex]\frac{8}{2}[/tex] = 4 cm

we can now proceed to insert the values into the formula;

volume of a cylinder = πr²h

                                    =π×4² ×18

                                    =π×16 ×18

                                    =288 π cm³

volume of the cylinder = 288 π cm³

Answer:

its A

Step-by-step explanation:

288 pi Centimeters cubed

cos 60° = 1/2
and sin 60º SQT 3/2
True or false

Answers

Answer: true...

Step-by-step explanation:

Answer:

True

Step-by-step explanation:

In a standard 90°- 60°- 30° triangle

with legs 1 and [tex]\sqrt{3}[/tex] and hypotenuse 2

cos60° = [tex]\frac{1}{2}[/tex] and sin60° = [tex]\frac{\sqrt{3} }{2}[/tex] ← True

Which ordered pair would form proportional relationship with the point graphed below ?

Answers

Answer:

(-30, 10)

multiply -20/60 by -0.5 each and you get 10/-30

this is the only pair achievable by proportion.

will mark as bianleast
Which of the following ratios in a circle is equal to π?

circumference to radius

radius to circumference

diameter to circumference

circumference to diameter

Answers

Answer:diameter to circumference

Answer:

Circumference to diameter

Step-by-step explanation:

Find the value of X in the triangle shown below

Answers

Answer:

The answer is A) x=5

Step-by-step explanation:

Sq root of 156 is about 22,so that doesnt work, 313 is bigger, and 1 is too small

Which polynomials are prime? Check all that apply.
2.22+ 7x + 1
5.x2 - 10.x + 5
3.x2 + 8
4.x2 - 25
x2 + 36

Answers

Answer:

a b d

Step-by-step explanation:

is all that apply

Answer:a c e

Step-by-step explanation:just took it. Those are all that apply.

Write an equation and solve

Nine less than five times a number equals 71. Find the number

Answers

The answer is 16 because 16•5=80 and then 80-9=71 yk?
The answer is 16 I’m pretty sure for sure

PLEASE ANSWER.

A. Reflection over the x-axis and translation 4 units left.
B. Refection over the y-axis and translation 6 units down.
C. 90 degrees counterclockwise rotation about the origin and translation 2 units down
D. 180 degrees counterclockwise rotation about the origin and translation 2 units down

Answers

C looks like it’s the correct answer

Sorry if I’m wrong

Answer:D

Step-by-step explanation:180 degrees counterclockwise rotation about the origin and translation 2 units down

A parachutist's rate during a free fall reaches 75 meters per second. What is this rate in feet per second? At this rate, how many feet will the parachutist fall during 10 seconds of free fall? In your computations, assume that 1 meter is equal to 3.3 feet.

Answers

Answer:

40 meters

Step-by-step explanation:

Pleeasseeeeeeejdje helppp

Answers

Answer:

9.3361

Step-by-step explanation:

simplify each term

subtract 3.51 from 6.2

I need help will give brainliest!!!

Answers

Answer:

29,25,C

Step-by-step explanation:

One of those fraction type questions, that I don’t know

Answers

Answer:

C

Step-by-step explanation:

To solve this problem, we need to first find the ratio of numbers less than four to total numbers.

There are 3 numbers on the wheel less than 4 (1, 2, and 3). There are 8 total numbers, meaning the ratio of numbers less than 4 to total numbers is 3:8.

Now, we need to find the probability of spinning a white number. There are 3 white numbers on the wheel (3, 5, 8). However, one of these numbers (3) is less than 4, so it is already accounted for in the previous ratio. There are 2 numbers left, meaning the ratio of remaining white numbers to total numbers is 2:8.

Adding this to the original equation, we get 5:8. As a fraction, 5:8 = 5/8. The answer that correctly highlights this is C.

In the system 4x + 9y = 7 and and 4x - 9y = 9, would I add or subtract this system to solve for x? To solve for y?

add to solve for x or add to solve for y

subtract to solve for x or subtract to solve for y

add to solve for x and subtract to solve for y

subtract to solve for x and add to solve for y

Answers

Answer:

add to solve for x and subtract to solve for y

Step-by-step explanation:

To solve for any variable, it is required to eliminate the other variable in two variable - two equation set.

The set of equations are

4x + 9y = 7  __________1

4x - 9y = 9 ___________2

To solve for x we need to eliminate  Y

We see that in equation 1 there is 9y and

in equation 2 there is -9y

if we add 9y and -9y (9y -9y = 0)

Hence it is clear  that to solve for x , it is needed to add equation 1 and equation 2.

by adding equation 1 + equation 2 we have

4x + 9y = 7  __________1

=> 4x - 9y = 9 ___________2

=>4x + 9y + 4x -9y  = 7 +9

=>8x = 16

=>x = 16/8 = 2

____________________________

To solve for y we need to eliminate  x

We see that in equation 1 there is 4x and

in equation 2 also there is 4x

if we subtract 4x and 4x (4x -4x= 0) , we get 0

Hence it is clear  that to solve for y , it is needed to subtract equation 2 from equation 1.

by performing equation 1 - equation 2 we have

4x + 9y = 7  __________1

=> 4x - 9y = 9 ___________2

=>4x + 9y -( 4x -9y)  = 7 - 9

=>4x + 9y - 4x +9y  = -2

=>18y = -2

=>y =  -2/18 = -1/9

_____________________________

Thus, correct answer is

add to solve for x and subtract to solve for y

Answer: The answer is add to solve for x and subtract to solve for y, I hoped this helps, brainliest please? :)

Step-by-step explanation:

What is the area of the shaded figure?

Answers

Answer:

144

Step-by-step explanation:

32+112=144

Answer:

352

Step-by-step explanatioThe shape as you can see is a trapezoid. To find the area of the trapezoid is base 1 + base 2 x height. I multiplied 26 and 16 which made the whole shape 416. Now, we need to take away the white triangle which will show in the end the area of the shaded figure. To find the area of the triangle, you need to do 8x16 then divide by 2. 8 x 16= 128 feet. Then we divide that number by two which equals 64. The area of the unshaded triangle is 64 feet. Finally, we take 416 and subtact 64, which equals 352.

Two lines intersect (see image below)







Find the value of c.




24°


48°


66°


156°



Find the value of a.




24°


48°


66°


156°

Answers

Answer:

c-24

a-156

Step-by-step explanation:

a=180-24( angles on s straight line)=156

c= 24 opposite angles

What is the value of x, if 105% of 90 is equal to 200% of x?

Answers

Answer:

Step-by-step explanation:

200% of x = 105% of 90

(200/100) * x = (105/100) * 90

2 * x = 1.05 * 90

[tex]x = \frac{1.05*90}{2}\\\\x=1.05*45\\\\[/tex]

x = 47.25

Answer:

47.25 or 47 1/4

Step-by-step explanation:

write an equation for the line graphed
Y=_________


pls answer the question cause I really need the answer to this question​

Answers

Answer:

y = 3x + 2

Step-by-step explanation:

So we can use the point-slope equation to help us figure out our y = mx +b equation

First we need to choose two points on the graph so we can calculate our slope

I personally like to choose point that intersects two numbers perfectly on the line rather than a point that is maybe half way between two numbers

So we can use the point (0,2) and the point (2,8)

Our (0,2) will represent (x₁, y₁) and our (2,8) will represent (x₂,y₂)

The equation to find the slope is [tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1} }[/tex], so plugging in our values, we get [tex]m=\frac{8-2}{2-0} =\frac{6}{2} =3[/tex]

We have found our slope, 3, and now we can use the point-slope equation: y - y₁ = m(x - x₁) to figure out the remainder of the equation.

Plugging in our values we get: y - (2) = (3)(x - (0)) which simplifies to y - 2 = 3x which then simplifies to y = 3x + 2

The height of a flare fired from a 32-foot high platform can be modeled by the function h= -16t^2 + 16t + 32, where h is the height in feet above the ground and t is the time in seconds. Find the time it takes the flare to reach the ground

Answers

Answer:

Time, t = 2 seconds

Step-by-step explanation:

The height of a flare fired from a 32-foot high platform can be modeled by the function :

[tex]h= -16t^2 + 16t + 32[/tex]

Here, h is the height in feet above the ground and t is the time in seconds.

It is required to find the time taken by the flare to reach the ground. When its reaches ground, height covered by it equals 0 such that,

h = 0

[tex]-16t^2 + 16t + 32=0\\\\t=\dfrac{-16+\sqrt{16^2-4\times (-16)(32)} }{2(-16)}, \dfrac{-16-\sqrt{16^2-4\times (-16)(32)} }{2(-16)}\\\\t=-1\ s, 2\ s[/tex]

Neglecting t = -1 seconds, the time taken by the flare to reach the ground is 2 seconds.

In the figure, polygon ABCD is transformed to create polygon A’B’C’D’. This transformation is a

Answers

reflection transformation i believe. Correct me if im wrong im not that smart lol.

HURRY WILL MARK BRAINLIEST AND CASHAPP 10 BUCKS.
Which fraction id's represented by point A on the number line HURRY!! ​

Answers

Answer:

-1/4

Step-by-step explanation:

The dot is negative because it is below 0. It is 1/4th of the way from 0 to -1. Therefore it is -1/4.

Answer:

-1 / 4 ?

Step-by-step explanation:

Because it's already in the negative section.

Jackson gave Lena this expression to evaluate: 14(8 + 12). Lena said that to evaluate the expression was simple; just multiply the factors 14 and 20. Jackson told Lena she was wrong. He solved it by finding the product of 14 and 8 and then adding that to the product of 14 and 12.


a. Evaluate the expression using each student’s method.

b. Who was right in this discussion? Why?

Answers

Answer:

In this discussion, they both got  the same answer, so they're both right. However, when Jackson said Lena was wrong, he was incorrect, because Lena's way was also correct. So, they were both right in this discussion when it comes to the answers, but Jackson was wrong when he said lena was wrong. (I hope this helped).

Step-by-step explanation:

Lena: 14(8 + 12)

14(20)

280

Jackson: 14 x 8 = 112

14 x 12 = 168

168 + 112 = 280

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