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".
To learn more about complex numbers,
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Related Questions
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).
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Answer:
-250, 1250
Step-by-step explanation:
The pattern is to multiply by -5.
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Answer:
1
Step-by-step explanation:
just dived 3 by 3 to get 1 as ur answer
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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
what is the area of the circle given the radius 9. use 3.14
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Answer:
254.5
Step-by-step explanation:
area of circle = pi (3.142) x 9squared
answer 254.5 or 81 pi
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).
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but good luck
Step-by-step explanation:
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
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Answers
Step-by-step explanation:
P(-4,7)
Q(-1,-1)
R(-8,-1)
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
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
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100% of employees hold a master's degree.
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69% of employees hold a bachelor's degree.
44% of employees hold a bachelor's degree.
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31% of employees hold a PhD.
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Answer:
A. 100% of employees hold a master's degree.
Step-by-step explanation:
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Answer:
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Step-by-step explanation:
Answer:
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Step-by-step explanation:
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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:
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Explicación paso a paso:
Dada la siguiente tarifa de alquiler:
Patines = 0,50 € por hora
Patinetas = 1 € por hora
Bicicletas = 2 € la hora
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C (t) = € t
Costo ; C (t) para bicicletas;
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Answers
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Step-by-step explanation:
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heart if it helped brain if im cool
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Step-by-step explanation:
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Answer:
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Step-by-step explanation:
Hello there!
The following angles are corresponding angles
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Step-by-step explanation:
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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.
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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,
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As per the given figures,
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To learn more about the transformations click here :
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