Answer:
A
Step-by-step explanation:
z₃ - z₄ is located in Quadrant 1, the correct option is A.
What are complex numbers?The numbers that can be expressed in the form of a + ib are called Complex numbers, i is called the iota, whose value is equal to the square root of -1.
These are imaginary numbers.
The complex numbers are
z₁ = 5
z₂ = -6i
z₃ = 3i +z₁
z₃ = 3i + 5
z₄ = z₂ - 2
z₄ = -6i -2
The mathematical operations in all the complex numbers are performed similarly in real numbers,
The like terms are grouped together.
The subtraction of the complex numbers has to be determined.
z₃ - z₄ = ( 3i + 5) - ( -6i -2)
z₃ - z₄ = 3i +6i +5 +2
z₃ - z₄ = 9i +7
The constant and the imaginary term depict the x and y coordinate respectively.
As both the terms are positive, it lies in Quadrant 1.
To know more about Complex Number
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Given that 4x - 5y = 12 find y when x= -3
Answer:
y ⁻²⁴⁄₅ or - 4.8Explanation:
4x - 5y = 12
x = -3
Insert -3 for 'x' in the equation4(-3) - 5y = 12
Remove the parentheses: (-a) = -a-4 · 3 - 5y = 12
Multiply 4 · 3: 12-12 - 5y = 12
Add 12 to both sides of the equation-12 - 5y + 12 = 12 + 2
Simplify-5y = 24
Divide both sides by -5-5y / -5 = 24 / -5
Simplifyy = ⁻²⁴⁄₅
Turn the fraction into a decimaly = -4.8
Raw data are observations or data points that
Answer:
Raw data are observations or data points that: are in their original form.
Step-by-step explanation:
I hoppe this helps!
Of the last 60 people who went to the cash register at a department store, 15 had BLOND hair,
17 had BLACK hair, 26 had BROWN hair, and 2 had RED hair. Determine the experimental
probability that the next person to come to the cash register has BLOND hair. (answer as
simplified fraction)
Answer:
[tex]P(Blond) = \frac{1}{4}[/tex]
Step-by-step explanation:
Given
[tex]Total = 60[/tex]
[tex]Blond = 15[/tex]
[tex]Black = 17[/tex]
[tex]Brown = 26[/tex]
[tex]Red = 2[/tex]
Required:
Determine the experimental probability of the next person having blond hair
This is calculated by dividing the number f people having blond hair with the total number of people.
i.e.
[tex]P(Blond) = \frac{Blond}{Total}[/tex]
[tex]P(Blond) = \frac{15}{60}[/tex]
Simplify
[tex]P(Blond) = \frac{1}{4}[/tex]
Paul got 15 out of 20 questions correct on his test. What percent of the questions did Paul get correct?
Answer:75%
Step-by-step explanation:
To make a fraction into a percent you have to multiply it by 100
So: 15/20 x 100=15x5=75 so he got 75% of his problems right
Which expression has a sum equivalent to
6
8
?
A.
1
2
+
2
4
B.
2
4
+
1
4
C.
7
8
+
1
8
D.
2
12
+
2
6
hello, I hope your having a nice day! (if not then there will be other sunny days)
but I need someone who could help me solve this problem. :)
Answer:
-6x^4y^4z^8
Step-by-step explanation:
pls help!
I need help.
If you don't know please don't answer a guess or a silly answer.
If you know for sure please put the answer below and you will get 20 points.
Thank you!
Answer:
3.
Step-by-step explanation:
Divide the day price by the week and round down.
You get like 3.45, so 3.
hope this helps :)
Step-by-step explanation:
Answer is 3 or 3.45 i think also are you on a quiz on savvas realize or this just work
A history class is made up of 12 tenth graders and 9 eleventh graders. The tenth graders
averaged 77 on the midterm exam, and the eleventh graders averaged 91 on the midterm
exam. What was the average grade on the midterm exam for the entire class?
Answer:
They average 84%
Step-by-step explanation:
Just add 77 and 91 then divide it by 2. Hope this helps.
Answer:
83 is the correct answer if you just do it by adding 91 and 77 then diving it by 2 you would get 84 that is not what answer they are looking for. Took the test 83 is what they are looking for they want you to do the work.
Step-by-step explanation:
Tenth graders 12*77= 924
Eleventh graders 9*91= 819
924+819= 1,743
12 tenth graders and 9 eleventh graders
12+9 = 21
1,743/21 = 83
Find the distance between the points (4, -6) and (-4,-6).
Answer:
I'm pretty sure its 8
Step-by-step explanation:
May I have brainliest Im trying to get a new rank and I'm down to brainlest nd then i get a new rank
what is the greatest common mutiple of 8 and 50
Answer:
2
Step by-step explanation:
8/4=2
50/25=2
Answer: 2
Step-by-step explanation:
The factors of 8 are: 1, 2, 4, 8
The factors of 50 are: 1, 2, 5, 10, 25, 50
Then the greatest common factor is 2
Hope this helped<3
What is the value of x? (5 points)
Question 7 options:
1)
10
2)
15
3)
30
4)
45
What's the question?
Please help! Will give Brainly
Answer:
a 35
Step-by-step explanation:
Jason bought some stickers on Saturday. He used 5 of them that same day. When he went back on Sunday, he bought 4 more stickers. Write an expression that represents the number of stickers Jason has.
Answer:
[tex]Stickers = s - ![/tex]
Step-by-step explanation:
Analysing the question, line by line.
Let the number of stickers be s/
So:
[tex]Stickers = s[/tex]
He used 5 of them
[tex]Stickers = s - 5[/tex]
He bought 4 more
[tex]Stickers = s - 5 + 4[/tex]
[tex]Stickers = s - ![/tex]
Mom is planting a rose garden in the backyard. The scale drawing shows the garden. What is the actual width and length of the rose garden?
A: length = 34 feet
B: width = 10 feet
C: width = 5 feet
D: length = 17 feet
Answer:
34
Step-by-step explanation:
An airplane is currently flying at an altitude of 37,000 feet. The airplane is scheduled to land at an airport 100 miles
away. Find the average angle at which the airplane must descend for landing. Round your answer to the nearest
degree.
Answer:
4degrees
Step-by-step explanation:
Given the following
Height of the airplane = 37000feet
distance covered on landing = 100miles = 100(5280)
distance covered on landing = 528,000feet
Using the SOH CAH TOA
sin theta = opposite/hyp
sin theta = 37000/528000
sin theta = 37/528
theta = arcsin (37/528)
theta = 4 degrees
Hence average angle at which the airplane must descend for landing is 4degrees
(2x-5)-(x-3
Subtract this please
Jordan took a math test. the number of questions he got COrrect to the number of questions he got INcorrect was 8:3. if he got 9 questions incorrect, how many did he get correct ?
(i would appreciate it if u answer with a step by step explanation since i have to show my work :)
Answer:
I'm not sure if this is correct
24
Step-by-step explanation:
8:3
?:9
9÷3=3
So then you would be able to times 8 by 3 also which gives you 24
It's just a guess, sorry if it doesn't help
In the diagram, triangle MNO maps to triangle M'N'O'.
Identify the corresponding angles.
Answer:
B and A
.......................
Answer:
M' and N'O'
Step-by-step explanation:
Unit 4 linear equations homework 12
Answer:
There's no questions or worksheet attached.
Find the product of (2/3)x and (1/2x²)+6x-3
Answer:
=
1
2
x2+
20
3
x−3
Step-by-step explanation:
The average weight of 8 marbles is 3.5 g. What is the total weight of the marbles?
Answer:
Take 8÷3.5. So the answer is aprominently 2.29.
Todd drank 6/8 of a 30-ounce can of juice. lila drank 1/4 as much juice as Todd did. How many
ounces did lila drink?
When renting a limo for prom, the number of people varies inversely with the cost per person. Originally there were 4 people and the cost per person was $57. If the number of people changed to 12, what would be the new cost per person?
Answer:The new cost per person= $19 when there are 12 people
Step-by-step explanation:
Step 1
Let Number of people be rep as N
And Cost per person = C
such that the relationship of number of people which varies inversely with the cost per person is given as
N∝ 1/C
Introducing constant of proportionality, k, we have that
N= K/C
such that when there were 4 people the cost per person was $57, K would be
N= K/C
4 = K /57
k= 57 X 4
k=228
Step 2
Therefore If the number of people changed to 12, cost per person would be
N= K/C
12= 228 / C
C= 228/12
C= 19
The new cost per person= $19 when there are 12 people
1. In which set of ordered pairs is y a function of x?
A. {(1, 2), (0, 1), (0, 2), (1, 1)}
B. {(4, 1), (3, 1), (2, 1), (1, 1)}
C. {(1, 4), (1, 3), (1, 2), (1, 1)}
D. {(2, 5), (3,6), (6,5), (2, 7)}
Please help :(
1 meter convert to centimetres
Step-by-step explanation:
converting 1 meter to centimeters
1 m = 100 cm
Solve 64 = h + 30.
K=?
Answer:
h = 34
Step-by-step explanation:
64=h+30
Step 1: Flip the equation.
h+30=64
Step 2: Subtract 30 from both sides.
h+30−30=64−30
h=34
Please help ASAP!!,! Please and thank you have a great and blessed day!
Answer:
Step-by-step explanation:
1. there is 4 zeros in 10 4, the product is 10,000
2. 100,000
3. 100
Answer:
its 100000
Step-by-step explanation:
10×10=100×10=1000×10=10000×10=100000
Adriana made 2/5 of a kilogram of trail mix. If she puts 1/5 of a kilogram into each
bag, how many bags can Adriana fill?
Answer:
2
Step-by-step explanation:
2/5 divided by 1/5 = 2/5 x 5/1 = 10/5 = 2
hey I need this quick
Answer:
a
Step-by-step explanation:
go over 5 on the x axis and go up 1 on the y axis
Answer:
A
Step-by-step explanation:
A is at 5,1 so this would make sense
The diameter of a pizza is 14 inches what is the circumference of the pizza use 3.14
Answer:
43.96 in.
Step-by-step explanation:
A pizza is found in shape. Therefore, we would apply the formula for the circumference of a circle to find the circumference of the pizza.
Circumference = 2πr
r = ½ of diameter = ½*14 = 7 in.
π = 3.14
Circumference = 2*3.14*7
Circumference of the pizza = 43.96 in.