3. Consider the complex numbers z and w below. Find the difference z-
w and the product z.w.
z = (1 – 3i) and w = (-2 + 5i)

Answers

Answer 1

Answer:

see explanation

Step-by-step explanation:

z - w

= 1 - 3i - (- 2 + 5i) ← distribute parenthesis by - 1

= 1 - 3i + 2 - 5i ← collect like terms

= 3 - 8i

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

z × w

= (1 - 3i)(- 2 + 5i) ← expand using FOIL

= - 2 + 5i + 6i - 15i² [ i² = - 1 ]

= - 2 + 11i + 15

= 13 + 11i


Related Questions

attorney b charges 150 for the inity meeting and 175 per hour for all hours worked after that write an equation in slope intercept form​

Answers

Answer:

fcuyah;tug2jw

Step-by-step explanation:

what is 9 time 64 what does it equal to

Answers

Answer:

It's 576 if you mean 64 times 9!

Step-by-step explanation:

URGENT HELP RN
what is the solution set of this inequality? 1<|x-2|<5
(-3, ) U ( , )

Answers

We first need to consider the absolute value of x-2 to find the solution set of this inequality, The solution set of this inequality is (3, 4, 5).

What is absolute value?

An absolute value is a number's distance from 0 on the number line.

Since the inequality is 1<|x-2|<5, we can then determine the two extreme points of the absolute value of x-2.

These points are 1 and 5.

Now, to find the solution set of this inequality, we need to find the two points that are 1 and 5 units away from the point x = 2.

The two points that are 1 and 5 units away from x = 2 are 3 and 5 respectively.

This is because the absolute value of x-2 has two extreme points, which are 1 and 5 units away from the point x = 2.

Therefore, the two points that are 1 and 5 units away from x = 2 are 3 and 5 respectively.

For more questions related to inequality

https://brainly.com/question/24372553

#SPJ1

Which representation does not show y as a function of x?

Answers

Answer:

The letter j because the points have to be functioned as a straight line

32a + 28 = 0
(Factor completely.)

Answers

Answer:           0.875

Step-by-step explanation:

If you earn $134 in 8 hours, how much do you earn per hour?

Answers

Answer:$16.75

Step-by-step explanation:

Write an equation of the line given an intercepts. Express in standard form.
1. x – intercept is 4 and y – intercept is 3.
2. x – intercept is -2 and y – intercept is 5.

Answers

Answer:

Required equations in standard form are:

1. 3x+4y=12

2. -5x+2y = 10

Step-by-step explanation:

Standard form of equation is given as:

[tex]Ax+By = C[/tex]

1. x – intercept is 4 and y – intercept is 3.

The points will be:

(4,0) and (0,3)

Slope: m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]m = \frac{3-0}{0-4}\\m = -\frac{3}{4}[/tex]

Slope intercept form of line is:

[tex]y = mx+b[/tex]

Putting the values of m and b(y-intercept)

[tex]y = -\frac{3}{4}x+3[/tex]

Multiplying whole equation by 4

[tex]4y = -3x+12\\3x+4y = 12[/tex]

2. x – intercept is -2 and y – intercept is 5

The points will be:

(-2,0) and (0,5)

Now

[tex]m = \frac{5-0}{0+2}\\m = \frac{5}{2}[/tex]

Putting the values of m and b in slope intercept form

[tex]y = \frac{5}{2}x+5[/tex]

Multiplying the equation by 2

[tex]2y = 5x+10[/tex]

[tex]-5x+2y=10[/tex]

Hence,

Required equations in standard form are:

1. 3x+4y=12

2. -5x+2y = 10

This question is simple, (and you might get a brainliest if you answer within 5 minutes of the time it was posted!) It is basic, but you just have to answer quickly and with an actual answer and an good explanation: what is 1/2 Multiplied by (4+8) btw the answer has to be correct, and i will randomly pick someone's correct answer and explanation for brainliest! I might or might not pick the first person, it just depends to who i want to give the brainliest to. (P.S..........And please DON'T be a Karen and report this! I'm just tryna give someone a brainliest, so chill out, Karens!)

Answers

Answer:

6

Step-by-step explanation:

1/2 = .5

.5 x (4+8)

.5 x (12)

= 6

SOMEONE ANWSER QUIKLY PLEASE !!!!!


The second of two numbers is one more than twice the first. The sum of the numbers is
40. What are the numbers?

Answers

Answer:

13 + 1/3 and 26+2/3

Step-by-step explanation:

so one is twices a large as the first. so 40/3 = 13 + 1/3 so thats one of your awnsers the larger one is 2 times larger so13 +1/3 * 2 is 26+2/3 hope this helps! :D

Answer:

First Number is 13

Second Number is 27

Step-by-step explanation:

let x = first number

let 2x + 1 = second number

x + (2x + 1) = 40

3x + 1 = 40

    - 1      -1

3x = 39

/3      /3

x = 13

13 x 2 = 26 + 1 = 27

pls help!!! look at picture

Answers

a) 45+9h =130
b) Joe will have to work 9 hours to make enough money to buy the AirPods.

Answer:

8.5 hours

Step-by-step explanation:

a). 10h + 45 = 130

b). 10h = 130 - 45 ⇒ h = 8.5 hours



Shipping Company A charges $14 plus $2.25 a pound to ship overnight packages. Shipping Company B charges $20 plus $1.50 a pound to

ship an overnight package. For what weight is the charge the same for the two companies?

Let p represent the number of pounds. Select the correct values to write an equation to represent the situation

Answers

Answer:

8 pounds

Step-by-step explanation:

Shipping Company A = 14 + 2.25p

Shipping Company B = 20 + 1.50p

Where,

p = the number of pounds.

For what weight is the charge the same for the two companies

Equate the charges of the two companies

14 + 2.25p = 20 + 1.50p

14 - 20 = 1.50p - 2.25p

-6 = -0.75p

Divide both sides by -0.75

p = -6 / -0.75

= 8

p = 8 pounds

Jermaine buys T-shirts for $6 each and marks up the price by 45%.
How much does Jermaine charge for each T-shirt (with the mark-up)?

Answers

Answer:

8.7

Step-by-step explanation:

6*1.45=8.7

Select ALL 4 ways of displaying a relation.
Scatter plots
In words
Mapping Diagrams
Table
o Pie Graph
Graph
O Ordered Pairs

Answers

Answer:

Scatter plots

Pie graph

graph

in words

I WILL GIVE THE BRAINLIEST
Jack works after school. each day he earns a set amount, plus an hourly wage. the following table represents a linear function f jack can use to determine to his pay.
hours: 1, 2, 3 | Pay: 18, 28, 38
SLOPE is 10.
Using the slope, find the y-intercept and write the function.​

Answers

Answer:

The y intercept is (0, 8). The equation of the function is f(x) = 10x + 8

Step-by-step explanation:

Given that after 1 hour of work, Jack will make 18 dollars and the slope is 10, subtract 10 dollars from 18 dollars to find his set amount, or y-intercept.

18 - 10 = 8 dollars.

Now that we have the m and b values, we can create our equation.

The equation in standard form is f(x) = mx +b, where m = the slope and b = the y-intercept. Plug our values in and the equation will be f(x) = 10x + 8. You can test if this is correct by plugging in x values from the table and seeing if your calculated value correctly corresponds to the given y value in the table.

12 IF APOR is similar to AXYZ, which of the following statements must be true?

Answers

Answer:

F

Step-by-step explanation:

There's no Q in APOR or AXYZ

what is 4.25% as a decimal ​

Answers

Answer:

0.0425

Step-by-step explanation:

Answer:

0.0425

Step-by-step explanation:

hope this helped ^^

I need help with this

Answers

Answer:

A, B, and C

Step-by-step explanation:

We can substitute each number into each equation

2 < -1 + 5 true

2 > 1 true

1 > 0 true

A is correct

4 < -1 + 5 true

4 > 1 true

1 > 0 true

B is correct

3 < -0 + 5 true

3 > 0 true

0 > 0 true

C is correct

5 < -2 + 5 false

D is incorrect

(3x +8) - 6(2.5x - 3)

Answers

If you’re looking to simply the expression, the answer is -12x+26

Find the value of x that makes this a true statement (1/27)^x=3

Answers

Answer:

x = -1/3

Step-by-step explanation:

Given

(1/27)^x=3

Solving for x

(1/27)^x=3(1/3)^3x = 33^-3x = 3^1-3x = 1x = -1/3

the time, t, in seconds, is required for an object accelerating at a constant rate of a meters/second to travel a distance of d meters is given this equation

Answers

Answer:

C. [tex] d = \frac{at^2}{2} [/tex]

Step-by-step explanation:

Given:

[tex] t = \sqrt{\frac{2d}{a}} [/tex]

Required:

Make d the subject of the formula.

SOLUTION:

[tex] t = \sqrt{\frac{2d}{a}} [/tex]

Square both sides

[tex] t^2 = (\sqrt{\frac{2d}{a}})^2 [/tex]

[tex] t^2 = \frac{2d}{a} [/tex]

Multiply both sides by a

[tex] a*t^2 = \frac{2d}{a}*a [/tex]

[tex] at^2 = 2d [/tex]

Divide both sides by 2

[tex] \frac{at^2}{2} = \frac{2d}{2} [/tex]

[tex] \frac{at^2}{2} = d [/tex]

[tex] d = \frac{at^2}{2} [/tex]

If we estimate that 10 people can fit in a 5ft by 5ft area, then what would be your estimate of how many people can fit on a basketball court measuring 94ft by 50ft?

Answers

Answer:

1,880 people will fit in 94 ft by 50 ft

Step-by-step explanation:

We can estimate this using the area

For 5 ft by 5ft ; 10 people can fit in an area of 5 * 5 = 25 ft^2

In an area of 94 ft by 50 ft, the number of people that can fit will be;

let’s start with the area

Area = 94 * 50 = 4,700 square feet

10 people will fit in 25 square feet

x people in 4,700 square feet

25 * x = 10 * 4700

25x = 47,000

x = 47000/25

x = 1,880 people

please help i’ll give brainliest

Answers

Answer:

87.5

Step-by-step explanation:

2 inches is 70 miles. .5 inches is 17.5 and add them together and you get 87.5.

Please mark brainliest.

Answer: D. 87.5 miles

Step-by-step explanation:

They have given us a scale that 1 inch = 35 miles.

Since the distance is 2.5 inches, we have to multiply 2.5 inches by 35 miles.

1 in. = 35 miles

2.5 in = x

2.5 times 35 = 87.5 miles

hope this helps!

answered
If y = 3x and 2x – 4y = 3, then x=

Answers

Answer:

x= -3/10

Step-by-step explanation:

putting value

2x - 4(3x) =3

2x- 12x = 3

-10x = 3

x = -3/10

I will mark brainly if anyone can answer this
-2-4(6p-5)
-5(v-6)+10v
and 25 pts

Answers

Answer:

Ich weiß nicht =13

die Antwort -2 -4 (6p-5)

Step-by-step explanation:

Help me pls 4 5 6 7 8 and 9 pls

Answers

9514 1404 393

Answer:

  4C, 5D, 6A, 7E, 8B, 9s

Step-by-step explanation:

This is a vocabulary question. The angles named by the relationships A-E are angles that have the transversal as a common side. "Interior" and "exterior" refers to the space between the crossing lines, or outside the crossing lines, respectively. "Alternate" means the angles are on opposite sides of the transversal; "consecutive" means they are on the same side of the transversal.

Angles are "corresponding" if they are in the same direction from the point of intersection where the transversal crosses the two lines. The angles will be "consecutive", but one will be interior and the other will be exterior.

4. angle 9 is left of q, above r; angle 16 is right of q and below s, so these are alternate exterior angles, C.

__

5. angle 3 is below r and left of p; angle 5 is above s and left of p, so these are consecutive interior angles, D.

__

6. angle 7 is below s and left of p; angle 15 is below s and left of q, so these are corresponding angles, A.

__

7. angle 1 is above r and left of p; angle 10 is above r and right of q, so these are consecutive exterior angles, E.

__

8. angle 2 is above r and right of p; angle 11 is below r and left of q, so these are alternate interior angles, B.

__

9. angles 6 and 13 are above transversal s.

simultaneous equations
x^2+3xy=10
x=2y

Answers

9514 1404 393

Answer:

  (x, y) = (-2, -1) or (2, 1)

Step-by-step explanation:

Substitute for x in the first equation:

  (2y)^2 +3(2y)y = 10

  10y^2 = 10

  y^2 = 1

  y = ±1

  x = 2y = ±2

Solutions are (x, y) = (-2, -1) or (2, 1).


1. Dilate A using P as the center of dilation and a scale factor of 3. Label the new point
A'.
2. Dilate Busing Pas the center of dilation and a scale factor of 2. Label the new point B'

Answers

Answer:

Step-by-step explanation:

Rule for the dilation of a point by a scale factor 'k',

(x, y) → (kx, ky)

If we impose this rule in this problem,

k = [tex]\frac{\text{Distance of A' from P}}{\text{Distance of A from P}}[/tex]

1). If k = 3

   Therefore, Distance of A' from P = 3(Distance of A from P)

   And point A' will be on the third circle.

2). If k = 2

   Distance of B' from P = 2(Distance of B from P)

   Since, B is on circle 2, B' will be on circle 4.

Now we can plot these points A' and B' on the graph.

After the dilation point A becomes A' and it is at a distance of 3 units from point P and after the dilation point B becomes B' and it is at a distance of 2 units from point P.

1)

Given :

Dilate A using P as the center of dilation and a scale factor of 3.

Let the coordinates of point A be (x,y) then after dilation point A becomes A'(3x , 3y). So, the distance of the point A' from the point P is 3 units

2)

Given :

Dilate Busing P as the center of dilation and a scale factor of 2.

Let the coordinates of point B be (x',y') then after dilation point B becomes B'(2x' , 2y'). So, the distance of the point B' from the point P is 2 units

For more information, refer to the link given below:

https://brainly.com/question/2856466

Which is greatest: 75%, 4/5, or 0.75?

Answers

Answer:

4/5

Step-by-step explanation:

75% = 75/100 = 0.75 = 3/4

4/5 = 80/100 = 80% = 0.80

75 = 75% = 3/4 = 75/100

75%

80% - this is the biggest

75%

HOPE THIS HELPS

PLZZ MARK BRAINLIEST

Answer: 4/5

Step-by-step explanation:

75% = 75/100 same as 0.75

4/5 = 0.80

0.75 already in decimal

Therefore 0.80 is the greatest

Your MOM has a 72 boyfriends and your dad see your mom cheating on you by kissing them and 9 of them jump off the window how many boyfriends are in the room still?

Answers

Given:

Total number of boyfriends = 72

Number of boyfriends who jump off the window  = 9

To find:

The remaining number of boyfriends.

Solution:

We need to subtract the number of boyfriend who jump off the window from the total number of boyfriends to get the remaining number of boyfriends.

[tex]\text{Remaining boyfriends}=72-9[/tex]

[tex]\text{Remaining boyfriends}=63[/tex]

Therefore, the number of remining boyfriends is 63.

Answer:

About 79 million

Step-by-step explanation:

Answer:

a lot

89 x 67= 292829

So hence that's the answer

Hope this helps! :)

i need help with this one Eight cookies cost $12. At this rate, how much will 10 cookies cost?

Answers

Answer:

$15

Step-by-step explanation:

12/8 = 1.5 = 1.50 per cookie

1.50* 10 = 15

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