Answers
The standard form of the complex number is respectively 2√3 i - 15 + √300 i,4 - 7 i, and -14 + 9 i.
What is a complex number?Complex numbers are helpful in finding the square root of negative numbers.
A complex number is the sum of a real number and an imaginary number.
(a)
As per the given, 2√-3 - 15 + √-300
Since, √-1 = i thus,
2√3 i - 15 + √300 i
(b)
As per the given, (15 - 10i)/(2 + i)
By rationalization,
(15 - 10i)/(2 + i) x (2 - i)/(2 - i)
⇒ (30 - 15 i - 20 i + 10 i²)/(2² - i²)
⇒ (30 - 10 - 35 i)/(4 + 1)
⇒ 4 - 7 i
(c)
As per the given, 3(2 + i) - 4(5 - 2i)
⇒ 6 + 3i - 20 + 8i
⇒ -14 + 9 i
Hence "The complex number has the following conventional forms: 2√3 i - 15 + √300 i,4 - 7 i, and -14 + 9 i".
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Related Questions
The product of two numbers is 144, but their sum is -24. What are these two numbers?
Answers
Answer:
The two numbers are - 12 and - 12 .
Step-by-step explanation:
Let the two numbers be x and y then
By the question
x * y = 144
or x = 144 / y ....... I)
Again
x + y = - 24
Or 144/y + y = - 24
or, ( 144 + y²) / y = - 24
or, 144 + y² = - 24y
y² + 24y + 144 = 0
y² + ( 12 + 12 ) y + 144 =0
y² + 12y + 12y + 144 = 0
y(y + 12 ) + 12 ( y + 14) = 0
( y + 12 ) ( y + 12 ) = 0
Either
y + 12 =0
y = - 12
Now
x = 144 / - 12 = - 12
Therefore the two numbers are - 12 and - 12 .
Hope it will help :)❤
Which statement about the data represented in the graph appears to be de
A)
100% of employees hold a master's degree.
B)
69% of employees hold a bachelor's degree.
44% of employees hold a bachelor's degree.
D)
31% of employees hold a PhD.
Answers
Answer:
A. 100% of employees hold a master's degree.
Step-by-step explanation:
Sana nakatulong
help please not to sure what it can be!
Answers
Answer:
Y=0.5X+5
Step-by-step explanation:
Hope this helps ;)
Candice is collecting donations from her neighbors for the local animal shelter. She started by adding some of her own money into the collection jar. After collecting d more dollars in donations, she will have a total of 10+d dollars in the jar. Today, she collected $36 more in donations.
How much money does Candice have in her collection jar? plz help
Answers
Company X tried selling widgets at various prices to see how much profit they would
make. The following table shows the widget selling price, x, and the total profit
earned at that price, y. Write a quadratic regression equation for this set of data,
rounding all coefficients to the nearest tenth. Using this equation, find the profit, to
the nearest dollar, for a selling price of 24.25 dollars.
Answers
Answer:
85
Step-by-step explanation:
Pls help meee I’m stuck and no one will helppp
Answers
Answer:
x = 46
Step-by-step explanation:
Hello there!
The following angles are corresponding angles
One of the properties of corresponding anlges is that they are congruent
That being said we can use this equation to solve for x
2x + 4 = 4x - 88
step 1 subtract 2x from each side
2x -2x cancels out
4x - 2x = 2x
now we have
4 = 2x - 88
step 2 add 88 to each side
-88 + 88 cancels out
4 + 88 = 92
now we have 92 = 2x
step 3 divide each side by 2
92 / 2 = 46
2x/2= x
we're left with x = 46
The first three terms of a geometric sequence are as follows.
2, -10, 50
Find the next two terms of this sequence.
Give exact values (not decimal approximations).
Answers
Answer:
-250, 1250
Step-by-step explanation:
The pattern is to multiply by -5.
2,-10, 50, -250, 1250
I need help finding the slope
Answers
Answer:
0.75
Step-by-step explanation:
-3-1.5/-4-2
-4.5/-4-2
-4.5/-6
0.75
slope between the points (5, 1) and (7,
-9)
Answers
Answer:
Slope : 5x
Step-by-step explanation:
Callie brushes her teeth three times each day. She leaves the water running. Is it reasonable to say that she uses 2 cups of water in one day? Explain
Answers
Answer: She uses more than 2 cups of water per day.
Step-by-step explanation:
It takes 2 minutes to brush your teeth and if you times that by 3 you get 6 so she spends 6 minuntes per day brushing her teeth and water runs fast. so if your leaving the water on for 6 mintues your filling up much more than 2 cups
A box contains 1,200 marbles. One-fifth are blue, two-thirds are red, and the rest are white. How many of the marbles are white?
Answers
Answer:
7/15
Step-by-step explanation:
2/3. 1/5 3x5 =15 then add 2+5=7 which gets u 7/15
Jim’s father is older than 40 but younger than 50
Answers
Answer:
Is it 41, 42, 43, 44, 45, 46, 47, 48 or 49?
Answer:
its clearly 77
Solve for the unknown value
Answers
could someone help me with this problem?
Answers
Answer:
The question already got answered: https://brainly.com/question/23062055
Answer:
1/2
Step-by-step explanation:
The slope of the line is going down 1/2 at a time
5 more than the product of x and 2
Answers
Answer:
2x+5
Step-by-step explanation:
Answer:
5(2x) => 10x
Step-by-step explanation:
Find the arc length. Round the answer to two decimal places.
Answers
Answer:
372.233
heart if it helped brain if im cool
En un parque hay una tienda donde se alquilan patines a 0,50€ la hora, monopatines a 1€ la hora y bicicletas a 2€ la hora.
Answers
Pregunta completa:
En un parque hay una tienda donde se alquilan patines a 0,50 € la hora; Patinetas a 1 € la hora y bicicletas a 2 € la hora. ¿Cuál es la ecuación de los costos en función del tiempo empleado en cada uno de los casos?
Respuesta:
C (t) = 0,50 billones de euros; C (t) = € t; C (t) = 2 billones de euros
Explicación paso a paso:
Dada la siguiente tarifa de alquiler:
Patines = 0,50 € por hora
Patinetas = 1 € por hora
Bicicletas = 2 € la hora
La ecuación de costo en función del tiempo en cada caso se puede expresar como:
Costo en función del tiempo; Connecticut)
Donde, t = tiempo
Costo, C (t) = costo por hora * Número de horas
C (t) para patines:
C (t) = 0,50 t €
Costo ; C (t) para patinetas:
C (t) = € t
Costo ; C (t) para bicicletas;
C (t) = 2 billones de euros
Guys I really need help my report card is coming next Friday i really need help
Answers
but good luck
Step-by-step explanation:
3х^2 +7x —6 = 0
salve for x write both solutions
Answers
Answer:
x=2/3,-3,x=0.6 repeating decimals,-3
Step-by-step explanation:
plz help me 2 plz 2 plz 2
Answers
Step-by-step explanation:
P(-4,7)
Q(-1,-1)
R(-8,-1)
Point B has coordinates (4,1). The x-coordinate of point A is -4. The distance between point A and point B is 10 units. What are the possible coordinates of point A?
Answers
Given:
Point B has coordinates (4,1).
The x-coordinate of point A is -4.
The distance between point A and point B is 10 units.
To find:
The possible coordinates of point A.
Solution:
Let the y-coordinate of point A be y. Then the two points are A(-4,y) and B(4,1).
Distance formula:
[tex]D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
The distance between point A and point B is 10 units.
[tex]\sqrt{(4-(-4))^2+(1-y)^2}=10[/tex]
Taking square on both sides, we get
[tex](8)^2+(1-y)^2=100[/tex]
[tex](1-y)^2=100-64[/tex]
[tex](1-y)^2=36[/tex]
Taking square root on both sides, we get
[tex](1-y)=\pm \sqrt{36}[/tex]
[tex]-y=\pm 6-1[/tex]
[tex]y=1\mp 6[/tex]
[tex]y=1-6[/tex] and [tex]y=1+6[/tex]
[tex]y=-5[/tex] and [tex]y=7[/tex]
Therefore, the possible coordinates of point A are either (-4,-5) or (-4,7).
Select ALL the expressions that are equivalent to (x^2)(square root of x).
Answers
Answer:
x^(2.5) ("x to the power 5/2")
Step-by-step explanation:
(x^2)(√x) can also be written as x·x·x^(1/2). We just add the exponents together: (x^2)(√x) = x^1·x^1·x^(1/2) = x^(2.5) ("x to the power 5/2").
Next time, please share the answer choices.
3 Write in simplest form. 9
Answers
Answer:
1
Step-by-step explanation:
just dived 3 by 3 to get 1 as ur answer
please help Moosa's sister is six years younger than 3 times his age. The sum of their ages is 30. How old is Moosa?
Answers
Answer: 9 years old
Step-by-step explanation:
The parts
Moosa= x
Moosa's sister = (3x-6)
and together x+(3x-6)=30
Solve for x to get 9 which means Moosa is 9 and Moosa's sister (older) is 21
A recent survey of 800 seventh graders from across the state shows 4 out there of 10 like to play paper football. How many students said they like to play paper football?
Answers
Answer:
320
Step-by-step explanation:
800 = 10
x = 4
800 x 4 = 10 x
3200= 10x
x = 320
ice cream cost $0.85 per ounce. Which equation best represents y, the total cost of x ounces of ice cream.
Answers
Answer:
I'm not sure about my answer but I think it is y=0.85x
Step-by-step explanation:
0.85 is the rate and the rate = the cost of ounces of ice cream which is why 0.85 has an x to it
what is the area of the circle given the radius 9. use 3.14
Answers
Answer:
254.5
Step-by-step explanation:
area of circle = pi (3.142) x 9squared
answer 254.5 or 81 pi
At Paco’s Pizza Shop, a large pizza has a diameter of 16 inches. A small pizza has a diameter of 12 inches. What is the area of the small pizza? What is the area of the large pizza? Round to the nearest tenth.
Answers
what i 4 13/20 as a decimal?
Answers
Answer:
4 13/20 -> 4.65
Step-by-step explanation:
Well if you mean 4 and 13/20 then your answer is 4.65
IF you mean just 13/20 then your answer is just 0.65
Which of the following statements is true for the figures shown?
D
D
B
C
B
0
A. Rectangle ABCD has been reflected using Cas the center.
B. Rectangle ABCD has been dilated using C as the center.
C. Rectangle ABCD has been reflected using O as the center.
D. Rectangle ABCD has been dilated using O as the center
Answers
The statement is true about the shown figures "Trapezoid ABCD has been dilated using O as the center". which is the correct answer would be an option (A).
What is a transformation?A point is transformed when it is moved from where it was originally to a new location. Translation, rotation, reflection, and dilation are examples of different transformations.
here, we have,
A dilation is a transformation that generates an image with the same shape as the original but a different size. The dilation center is a fixed point in the plane. The initial figure is stretched or shrunk through dilatation.
As per the given figures,
Trapezoid ABCD has been expanded to trapezoid A'B'C'D' around the dilation center O. When the figure is expanded, the scale factor exceeds one.
Thus, the statement is true about the shown figures "Trapezoid ABCD has been dilated using O as the center".
Hence, the correct answer would be option (A).
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