Multiply and simplify the following complex numbers:
(5 – 5i) . (-3+5i)

Answers

Answer 1

Step-by-step explanation:

(5 – 5i) . (-3+5i)

=-15+25i+15i-25i²

=-25i²40i-15

Answer 2

Answer:

-25i^2+10i-15

Step-by-step explanation:

(5 – 5i) . (-3+5i)

foil

1)5*-3=-15

2)5*5i=25i

3)-5i*-3=15i

4)-5i*5i=-25i^2

put that all together

-25i^2+15i+25i-15

simplify

-25i^2+40i-15


Related Questions

wat is greater 5/12 or 1/12

Answers

5/12 is greater be side you have four more pieces compared to 1/12

answer: 5/12 is greater than 1/12

help 6th grade math i will give brainliest foolish answers will get reported

Answers

Answer:

The answer is B.

Can I have Brainliest?

I may be wrong but I believe it’s C.

Which graph represents a function?

Answers

Answer:

The vertical line test can be used to determine whether a graph represents a function. A vertical line includes all points with a particular x value. The y value of a point where a vertical line intersects a graph represents an output for that input x value.

Please help this is do soon!:))
Is it:
A: g(x) =f(x) +2
B: g(x) =f(x) -4
C: g(x) =1/4f(x)
D: g(x) =4f(x)

Answers

Answer:

i think it is c but sorry if im wrong

Step-by-step explanation:

Function or not a Function?

Answers

It’s not a function because it doesn’t pass the vertical line test.

Can some please help me?? It’s do today also can you guys explain how to do it because it’s still More questions and I actually wanna learn how to do it

Answers

Answer:

-3

Step-by-step explanation:

Slope of a line is "rise over run".  Pick two points on the line.  For example, (0,4) and (1,1).  As we move from the first point to the second, we move down 3 units and right 1 unit.  So the slope is -3/1 = -3.

Here's an algebraic approach.  If the two points are (x₁, y₁) and (x₂, y₂), then the slope is:

m = (y₂ − y₁) / (x₂ − x₁)

Plugging in our two points:

m = (1 − 4) / (1 − 0)

m = -3

Nina can stitch 3 of a dress in 4 hours. If drepresents the number of dresses and h represents the number of hours, which equation
represents this proportional relationship?
OA d=6
B.
3d=4h
oc. d = 13h
D.
d=4
OE. d=12

Answers

Answer:

C. d= 1/6h

Step-by-step explanation:

2/3 dress in 4 hours

We need to find out how much of a dress can be finished per hour.

2/3 /4 = 2/12

2/12 ---> 1/6

d= 1/6h

Brainliest is much appreciated!

Identify which solid is a rectangular or triangular prism from its net.

Answers

Answer:

i took a very good look at all of these and im pretty sure its 2 :)

Step-by-step explanation:

Urvi solved a fraction division problem using the rule "multiply by the reciprocal." Her work is shown below. StartFraction 14 divided by StartFraction 2 Over 7 EndFraction. StartFraction 1 Over 14 EndFraction times StartFraction 2 Over 7 EndFraction = StartFraction 2 Over 98 EndFraction or StartFraction 1 Over 49 EndFraction

Answers

Answer:

Urvi multiplied with the reciprocal of the dividend instead of the reciprocal of the divisor.

Step-by-step explanation:

Urvi solved a fraction division problem using the rule "multiply by the reciprocal." Her work is shown below. StartFraction 14 divided by StartFraction 2 Over 7 EndFraction. StartFraction 1 Over 14 EndFraction times StartFraction 2 Over 7 EndFraction = StartFraction 2 Over 98 EndFraction or StartFraction 1 Over 49 EndFraction Which is the most accurate description of Urvi's work? Urvi solved the problem correctly. Urvi multiplied the dividend by the divisor instead of finding the reciprocal. Urvi multiplied the denominators instead of finding a common denominator. Urvi multiplied with the reciprocal of the dividend instead of the reciprocal of the divisor.

Urvi's work

= 14 ÷ 2/7

= 1/14 × 2/7

= 2/98

= 1/ 49

Correct workings

14 ÷ 2/7

= 14 × 7/2

= 98/2

= 49

The correct answer is

Urvi multiplied with the reciprocal of the dividend instead of the reciprocal of the divisor.

Ram can travel 20km by a motorcycle in 1 litre of petrol.how far can he travel from 5 litres of petrol?Also,how much petrol will be needed to travel 750km.​

Answers

Answer:

On 5 liters of petroleum he can go 100km.

He needs 37.5 liters of petroleum to go 750km.

Step-by-step explanation:

He goes 20km on 1 liter. Now we must find how far he can go on 5 liters.

1 * 5 = 5

20 * 5 = 100

The reason we multiplied was because we had to multiply 1 by 5 to get the number of liters of petroleum and what you to one side you must do to the other.

To find how many liters are needed to go 750km you must divide:

750/20 = 37.5

He needs 37.5 liters of petroleum to travel 750km.

Hope this helps! :)

Please help ASAP:) is really need some help!

Answers

Answer:

correct answer is

b

HL congruence

Answer:

B

Step-by-step explanation:

BRAINLIEST PLS

A european business has offered to donate to the Salvation Army, but they are requiring a detailed report on expenditures. Chase and his brother are tasked with converting distances measured in miles to kilometers. To estimate the number of kilometers, Chase takes the number of miles, doubles it and then subtracts 20% of the result. Alex, Chase's brother, first divides the number of miles by 5 and then multiplies the result by 8.

Answers

Answer:

Both processes are correct.

Step-by-step explanation:

Let the mile taken by Chase be 10miles .

He doubles it so it will be 20 and

20% of 20 will be 4

20-4 = 16km

Now Alex operations

(10/5 )*8 = 2*8= 16 km

In both cases the answer will be the same

1 mile = 1.60034 km

Now 10 miles = 16.00 34 km

which is the same as above.

Both the processes are correct.

Solve the equation for y y−5x=3

Answers

Answer:

y = 5x + 3

Step-by-step explanation:

y - 5x = 3

add 5x to both sides to isolate y

y = 3 + 5x

rearrange to slope intercept form

y = 5x + 3

Please help! This is my last question on the homework and it’s taking forever for me to do

Answers

Answer: y = x + 40

Step-by-step explanation: y = x + 40

First of all, the line starts at the y-axis on 40, which means the y-intercept is 40.

Second, the slope, Rise over run. y2 - y1 / x2 - x1, which is = to 50 - 40 divided by 15 - 5. That is 10 over 10 or 10/10. The slope of that is 1 so the slope is just x.

There are a few possible answers and they are

y - 40 = 1(x - 0)

y - 50 = 1(x - 10)

y - 60 = 1(x - 20)

=================================================

Explanation:

Pick two blue points from the graph. I recommend points that land on grid intersections so we can read the coordinates easily. Two such points are (0,40) and (10,50)

Use the slope formula to find the slope

m = (y2-y1)/(x2-x1)

m = (50-40)/(10-0)

m = 10/10

m = 1

The slope is 1.

Note how I subtracted the y coordinates, then did the same for the x coordinates in the same order, and divided the differences.

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

Since your teacher wants the answer in point slope form, we'll use this as our template

y - y1 = m(x - x1)

where m is the slope and (x1,y1) a the point the line goes through. We have infinitely many choices for (x1,y1) since there are infinitely many points on this line.

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

If we use (x1,y1) = (0,40), then we get

y - y1 = m(x - x1)

y - 40 = 1(x - 0)

which is one possible answer

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

If we use (x1,y1) = (10,50), then we get

y - y1 = m(x - x1)

y - 50 = 1(x - 10)

which is another possible answer

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

If we use (x1,y1) = (20,60), then we get

y - y1 = m(x - x1)

y - 60 = 1(x - 20)

which is another possible answer

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

So again there are multiple answers possible. The slope stays the same each time, but x1 and y1 change depending on which point you choose.

Find the value of x that makes FGH~JKL

Answers

Answer:

Required Answer:-

[tex]{:}\dashrightarrow [/tex][tex]\sf x-4=20[/tex]

interchange both sides

[tex]{:}\dashrightarrow [/tex][tex]\sf x=20+4 [/tex]

[tex]{:}\dashrightarrow [/tex][tex]\sf x=24[/tex]

The value of x is 30 if the triangles FGH and JKL are similar after using the property of the similarity triangles.

What is the similarity law for triangles?

It is defined as the law to prove that the two triangles have the same shape, but it is not compulsory to have the same size. The ratio of the corresponding sides is in the same proportions and the corresponding angles are congruent.

It is given that:

The triangle FGH and JKL are shown in the picture.

(x + 35)/20 = (x - 4)/8

Cross multiplication:

8(x + 35) = 20(x - 4)

8x + 280 = 20x - 80

20x - 8x = 280 + 80

12x = 360

x = 360/12

x = 30

Thus, the value of x is 30 if the triangles FGH and JKL are similar after using the property of the similarity triangles.

Learn more about the similarity of triangles here:

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Which numbers are solutions of x2+20=9x+2?
Choose exactly 2 awnsers.
2
3
5
6

Answers

Answer:

my answer is gonna be 2 and 5

2 and 5 for sure......

Ronald wants to rent a car to take a trip and has a budget of $60. There is a fixed rental fee of $25 and a daily fee of $5. Write an inequality that would be used to solve for the maximum number of days for which Ronald can rent the car on his budget.

25 + 5x ≤ 60
25 + 5x ≥ 60
25x + 5 ≤ 60
25x + 5 ≥ 60

Answers

Answer:

35+5x<_60

Step-by-step explanation:

x would stand for the amount of days and for each day you would pay $5 add that to the fee of 25 and it has to be less than or equal to 60 because that is the extent of his budget

what the last guy was trying to say is

25 + 5x ≤ 60

btw this is correct i just did the test

convert the equation into the slope-intercept.​

Answers

Answer:

Not sure what you're equation is but this is how you would convert to slope intercept form:

Step-by-step explanation:

y=mx+b is slope intercept form where m is the slope and b is the y intercept. the x is just x so don't change that. graphing your equation might help you to convert. Hope this helps if I had the equation it would help more. :)

!!QUICK PLEASE!!
consider the following table of values:

(picture below)


write m(x) as a transformation of f(x)

a. m(x) = f(x) + 2

b. m(x) = f(x + 2)

c. f(x) = m(x) - 2

d. f(x) = m(x - 2)

Answers

Answer:

I can't see the picture?

At Cass High School, 2/3 of the students play a sport. Of the students who play a sport, 2/5 play football. What fraction of the students at Cass High School play football? *

Answers

Answer:

4/15

Step-by-step explanation:

2/3 play sports

2/5 play football

Of the 2/3 that play sports, 2/5 of them play football

2/3(2/5) = 4/15

Which equation best describes the line in the graph?

Answers

Answer:b

Step-by-step explanation:

Give brainliest

Answer:

B

Step-by-step explanation:

The question is looking for an equation in slope-intercept form which is y=mx+b where m is the slope and b is the y-intercept. The y-intercept is +4, which all of the answers show, so you must find the slope.

The slope is the change in y over change in x, more commonly referred to as rise over run. So count how many units the graph changes vertically and horizontally, in this case, 1 up and 2 right, so the slope is equal to 1/2. If you have a graph where the line shifts up and left, or down and right, then the slope is negative. Additionally, one way to visually check your work is to remember slopes equal to less than -1 or greater than +1 will be steeper while fraction slopes will make the slope flatter; basically the closer to zero the less steep.

6. $15 lunch: 20% tip

Answers

a 20% tip would be $3

1. Los hoteles están clasificados por estrellas de 1 a 5 de acuerdo con la ubicación, atención servicios y lujos que proporcione al turista. En una ciudad se hizo la relación de hoteles según la siguiente lista de estrellas: 3, 3, 4, 3, 4, 3, 1, 3, 4, 3, 3, 3, 2, 1, 3, 3, 3, 2, 3, 2, 2, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 1, 1, 1, 2, 2, 4, 1.

Answers

Answer:

El orden de menor a mayor es:

1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4

La mediana es 3.

Step-by-step explanation:

En la ciudad se hizo la relación de hoteles según la lista de estrellas, la cual se ordena de menor a mayor. Entonces, el orden determinado es:

1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4

La mediana de un conjunto de números es el número medio en el conjunto, una vez que los números han sido ordenados de menor al mayor, o, si hay un número par de datos, la mediana es el promedio de los dos números medios.

En este caso el conjunto posee 38 datos. Cuando el número de observaciones es par es posible calcular la mediana como:

[tex]Mediana=\frac{n+1}{2}[/tex] donde n es la cantidad de observaciones.

Entonces:

[tex]Mediana=\frac{38+1}{2}[/tex]

Mediana= 19.5

Esto indica que el valor de la mediana se encuentra en la observación cuya posición esta entre la 19 y la 20.  Entonces el valor de la mediana será una media de los valores que están en la posición 19y 20. Estos números son 3 y 3. La media entre estos dos números es:

[tex]\frac{3+3}{2} =3[/tex]

La mediana es 3.

Pregunta completa:

Los hoteles están clasificados por estrellas de 1 a 5 de acuerdo con la ubicación, atención servicios y lujos que proporcione al turista. En una ciudad se hizo la relación de hoteles según la siguiente lista de estrellas: 3, 3, 4, 3, 4, 3, 1, 3, 4, 3, 3, 3, 2, 1, 3, 3, 3, 2, 3, 2, 2, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 1, 1, 1, 2, 2, 4, 1.

Ordena el conjunto de estrellas y encuentra la

mediana (Yo).

Responder:

3

Explicación paso a paso:

Dados los datos:

3, 3, 4, 3, 4, 3, 1, 3, 4, 3, 3, 3, 2, 1, 3, 3, 3, 2, 3, 2, 2, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 1, 1, 1, 2, 2, 4, 1.

Datos reorganizados:

1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4

Mediana: 0.5 (n + 1) th término

Mediana = 0.5 (38 + 1) th término

Mediana = 0,5 (39) término

Mediana = 19,5 a término

(Término 19.5 + Término 20) = (3 +3) / 2 = 3

La mediana = 3

what is 0.4 repeting as afraction

Answers

Answer:

2/5

Step-by-step explanation:

Answer:

4/9

Step-by-step explanation:

When you go to do a repeating decimal, put whatever repeats over 9. For example lets say we want .49494949 repeating it would be 49/99

however in this case we want 4 to repeat so it would be 4/9.

solve for the variable
x-2= -5
7+x=11
-12+x=1

Answers

1. X= -3
2. X=4
3. X= 13

what is the value of Y in this triangle

Answers

Answer:

5

Step-by-step explanation:

Pythagorean Theorum: a^2 + b^2 = c^2

12^2 + y^2 = 13^2

144 + y^2 = 169

Subtract 144 from both sides

y^2 = 25

Square root both sides

y = 5

Answer:

y = 5

Step-by-step explanation:

Using Pythagoras' identity in the right triangle.

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

y² + 12² = 13²

y² + 144 = 169 ( subtract 144 from both sides )

y² = 25 ( take the square root of both sides )

y = [tex]\sqrt{25}[/tex] = 5

A fire department’s longest ladder is 110 feet long, and the safety regulation states that they can use it for rescues up to 100 feet off the ground. What is the maximum safe angle of elevation for the rescue ladder?

Answers

Answer:

65.4 degrees

Step-by-step explanation:

sin theta = 100/110

theta = inverse sin (100/110)

theta = 65.4 degrees

Hope this helped!

The required maximum safe angle of elevation for the rescue ladder is 65.4°

What are trigonometric equations?

These are the equation that contains trigonometric operators such as sin, cos.. etc.. In algebraic operations.



here,
Perpendicular distance = 100 ft
hypotenuse length = 110 ft
SinФ = perpendicular height/hypotenuse length

sin Ф= 100/110

Ф = inverse sin (100/110)

Ф = 65.4 °

Thus, the required maximum safe angle of elevation for the rescue ladder is 65.4°

Learn more about trigonometry equations here:

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Water makes up about 71% of Earth's surface, while the other 29% consists of continents
and islands. 96% of all Earth's water is contained within the oceans as salt water, while the
remaining 4% is fresh water located in lakes, rivers, glaciers, and the polar ice caps.
If the total volume of water on Earth is 1,386 million cubic kilometers, what is the volume
of salt water? What is the volume of fresh water? please help

Answers

Answer

1.386 billion.

Step-by-step explanation:

what is the missing length???

Answers

Answer:

25

Step-by-step explanation:

144/60 = 2.4

60/2.4 = x

x = 25

whats 45 times 5 ? i need help :) and take some time out of your day to read this. you are perfect and wanted. I know school can be hard but don't give up. I believe in you. All of your imperfections are perfect to me and I think that you deserve the world. keep your head up girls ,guys, and non binary pals! much love!

Answers

Answer:

225

Step-by-step explanation:

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