Given z1 = 2 + sqrt 3i and z2 = 1 – sqrt 3i, what is the sum of z1 and z2?
Answer:
b
Step-by-step explanation:
took test
The sum of z₁ and z₂ is 3.
What are complex numbers?The sum of a real number and an imaginary number is called a complex number. A complex number is usually represented by z and has the form a + ib. Here, both a and b are real numbers. The real part, denoted by Re(z), is represented by the value "a," and the imaginary part, represented by "b," is represented by Im(z). Also known as an imaginary number, ib.
Given z₁ = 2 + √3i,
z₂ = 1 - √3i
to calculate the sum
z₁ + z₂ = 2 + √3i + 1 - √3i
sum of complex number is done by adding real part and imaginary part separately,
+ √3i and - √3i is canceled
z₁ + z₂ = 3 + 0i = 3
Hence the sum is 3.
Learn more about complex numbers;
https://brainly.com/question/20566728
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product of x and 7y in algebraic expression
Answer:
7xy
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Terms/Coefficients/DegreesStep-by-step explanation:
Step 1: Define
"Product of x and 7y"
Step 2: Translate
"Product" is multiplication
"x" is x
"7y" is 7y
Step 3: Write
Multiplication: x · 7ySimplify: 7xyhelp due in hour pplease
Answer:
7) 100 cubic inches
3) 254.47 square meters
2) 282.74 yds
4) 5026.54 square feet
Step-by-step explanation:
7) 2x5x10=100 cubic inches
3) 18/2=9
9^2(3.14159)=254.47 square meters
2) 90(3.14159)=282.74 yds
4) 40^2(3.1459)=5026.54 square feet
The coordinates of segment AB are A(-2,5) and B(6, 1), which of the following is the length of segment AB to the nearest tenth?
Answer:
1 (8.9)
Step-by-step explanation:
Length of AB = [tex]\sqrt{(1-5)^2+(6+2)^2} = 4\sqrt{5} = 8.944....[/tex]
50 Points! Plz Answer quik
What are the 5 steps of writing an algorithm
Answer:
Step 1: Obtain a description of the problem.
Step 2: Analyze the problem.
Step 3: Develop a high-level algorithm.
Step 4: Refine the algorithm by adding more detail.
Step 5: Review the algorithm.
Answer:
Step 1: obtain description of problem
Step 2: Analyze the problem. ...
Step 3: Develop a high-level algorithm.
Step 4: Refine the algorithm by adding more detail. ...
Step 5: Review the algorithm
Step-by-step explanation:
25 markers in a bag: 5 red, 5 yellow, 5 blue, 5 green, 5 purple One marker is drawn out of the bag, then put back in. How many times would you expect a blue marker to be picked in 80 draws?
Answer: 16
Step-by-step explanation:
From the question, we are informed that there are 25 markers in a bag: 5 red, 5 yellow, 5 blue, 5 green, 5 purple and that one marker is drawn out of the bag, then put back in.
The probability of picking a blue marker will be: = 5/25 = 1/5
Therefore, the number of times that a blue marker will be expected to be picked in 80 draws would be:
= 1/5 × 80
= 16 times
Answer:
16
Step-by-step explanation:
1. Find the products. Show your thinking. An example of how to show your thinking is provided.
a. 1,400 × 20
b. 8,000 × 50
c. 120 × 300
2. Fill in the missing factors to find the given estimated product. The first one is done for you.
a. 582 x 23 ≈ __600________ x ___20_______ = 12,000
b. 325 x 454 ≈ __________ x __________ = 150,000
c. 6,397 x 349 ≈ __________ x __________ = 1,800,000
3. Round the factors and estimate the products. Round to the highest place value.
a. 656 × 106 ≈ __________ x __________ = __________
b. 3,108 × 7,942 ≈ __________ x __________ = __________
c. 425 × 9,311 ≈ __________ x __________ = __________
who got nic
kyoyskysiydutdugskgxkgxkvxkvxkgxigxigdoysigd
Answer:
y'all look fine ig
Step-by-step explanation:
Possible solutions to x>-5 can be -3, 0, 4,
8, and 12.
True
O
False
I NEED HELP
i just need y intercept and equation
Answer:
Slope = 4y-intercept = -8Step-by-step explanation:
The slope-intercept form of the line equation
[tex]y = mx+b[/tex]
where
m is the slope b is the y-interceptGiven the table
x y
2 0
7 20
Determining the slope between (2, 0) and (7, 20)
(x₁, y₁) = (2, 0)
(x₂, y₂) = (7, 20)
Using the formula
Slope = m = [y₂ - y₁] / [x₂ - x₁]
= [20 - 0] / [7 - 2]
= 20 / 5
= 4
Thus, the slope of the line = m = 4
now substituting the point (2, 0) and the slope m = 4 in the slope-intercept form of a line equation to determine the y-intercept b.
[tex]y = mx+b[/tex]
0 = 4(2) + b
b + 8 = 0
subtract 8 from both sides
b + 8 - 8 = 0 - 8
b = -8
Thus, the y-intercept = -8
Summary:
Slope = 4y-intercept = -8Question
of 6
2. Identify the solution to the system of equations graphed below.
-5 - 4
-5
- 2
2
Back
Answer:
2 jell djeeujdeieuwieue
Why was the music teacher not able to open his class room?
Answer:
In what book/story gotta tell us this if you want the question answered
Step-by-step explanation:
Answer:
Because his keys were on the piano.
Step-by-step explanation:
You get the idea.
What is the slope of this line?
Answer:
1/2 is the slope
Step-by-step explanation:
How many solutions does the following equation have?
-2z + 10 + 7z = 16z +7
Choose 1 answer:
No solutions
B
Exactly one solution
Infinitely many solutions
Answer:
exactly one solution: 3/11 = z
Step-by-step explanation:
-2z + 10 +7z = 16z + 7
combine like terms
5z + 10 = 16z + 7
-7 -7
5z + 3 = 16z
-5z -5z
3 = 11z
/11 /11
3/11 = z
All I need is 1-4 and please show work.
Answer:
1. -20 is the y intercept
2. 2x+4y=16
2x/2+4y/2=16/2
x+2y=8
x-x+2y=8-x
2y=-x+8
2y/2=-x/2+8/2
y=-x/2+4
4 is the y intercept
3. 2y+3x=7
2y+3x-3x=7-3x
2y=-3x+7
2y/2=-3x/2+7/2
y=-3
x/2+3.5
3.5 is the Y intercept
4. -3 is the y intercept
Step-by-step explanation:
Question 1:
y = -5x - 20
It is already in slope-intercept form, therefore the y-intercept is -20.
When y = 0, -5x - 20 = 0, x = -4.
Hence the x-intercept is -4.
Question 2:
2x + 4y = 16
When x = 0, 2(0) + 4y = 16, 4y = 16, y = 4.
The y-intercept is 4.
When y = 0, 2x + 4(0) = 16, 2x = 16, x = 8.
Hence the x-intercept is 8.
Question 3:
2y + 3x = 7
When x = 0, 2y + 3(0) = 7, 2y = 7, y = 3.5.
The y-intercept is 3.5.
When y = 0, 2(0) + 3x = 7, 3x = 7, x = 7/3.
Hence the x-intercept is 7/3.
Question 4:
It is ambiguous as the line marks on both of the axis are not labelled. However we assume each space is 1 unit.
Reading off the graph,
we have x-intercept is 3 and y-intercept is -3.
15 is the highest common factor of a pair of numbers. which of these is also common factor of this pair of numbers?
a/ 2
b/3
c/cant say untill numbers are known
d/ 30
Answer:
a)2 is the highest common factor of a pair of numbers
Step-by-step explanation:
What is 214 degrees Fahrenheit converted to Celsius?
Answer:
101.111
Step-by-step explanation:
i looked it up
a bar of steel is 340cm long issa cuts two 55cm lengths of the bar he then cuts the rest of the bar into as many 40cm lengths as possible work out how many 40cm lengths of bar issa cuts
Answer:
the number of 40cm lengths cut is 5.75 pieces
Step-by-step explanation:
The number of 40cm lengths cut is shown below:
= (Length of steel bar - two lengths) ÷ (length)
= (340 cm - 55 cm - 55cm) ÷ (40 cm)
= 230 cm ÷ 40 cm
= 5.75 pieces
Hence, the number of 40cm lengths cut is 5.75 pieces
We simply applied the above formula so that the correct unit could come
Also the same is relevant
Which events are independent? Select three options.
Roll a number cube, and then roll the same number cube again.
Flip a coin, and then flip the coin a second time.
Remove a card from a deck, and then remove a second card.
Draw a card from a deck, replace it, and then draw a second card.
Take a marble out of a bag, and then take a second marble out of the bag.
Answer: The first, second, and fourth.
Step-by-step explanation:
1). When you roll a cube twice, the number you get on the first roll doesn’t impact the second. As a result, it’s independent.
2). When you flip a coin twice, what you get on the first flip doesn’t impact what you get on the second. As a result, it’s independent.
3). When you remove a card from a deck, then remove a second one WITHOUT replacing the first, the first card impacts the second draw. For example, when I draw the first card, my chances of drawing a two are 1/13. If I draw a two the first time, my chances of drawing a two the second time are 1/17 (3/51. The total is fifty-one since one card is missing). Since the first draw impacted the probability of the second, the events are NOT independent.
4). When you remove a card, replace it, then draw again, your chances of drawing the same card doesn’t change. For example, my odds of drawing a three are 1/13 (or 4/52). If I draw a three the first time, then put it back and draw again, my odds are still 1/13 because I put the card back in the deck. As a result, the event is independent.
5). If I take a marble from a bag, and then take a second marble, the first draw impacts the second. For example, if a bag has three blue marbles and three green marbles, my chances of getting a blue marble the first time are 1/2 (or 3/6). If I get a blue marble and choose again, WITHOUT replacing it, my chances of choosing another blue marble are 2/5 (since one marble is missing). Since the first draw impacting the probability of the second, the events are NOT independent.
Answer: A, B , D
Step-by-step explanation:
Select all the common denominators for
1
4
and
7
10
.
A.
10
B.
20
C.
24
D.
32
E.
40
Answer:
B.20
hope it's helpful ❤❤❤❤❤❤❤❤❤❤
THANK YOU.
Answer:
B and E
Step-by-step explanation:
did i do this correct and i need help for the last question urgent
Answer:
Correct so far.
The median score must be between positions 32 and 33 on the table.
The median score is 72.
Step-by-step explanation:
Correct so far.
The median score must be between positions 32 and 33 on the table.
The median score is 72.
write the linear equation in slope intercept form.
4x+y=1
Answer: y=-4x+1
Step-by-step explanation:
The slope-intercept form of a line is y=mx+b. Therefore, y needs to be on one side of the equation, and the x term and constant need to be on the other. Rearrange the equation to make this true:
4x+y=1
(4x+y)-4x=1-4x
y=1-4x
y=-4x+1
the points (1,-4) and (2,-1) are collinear. The points (3,19) and (5,25) are also collinear. What can you say about the lines that cross these points?
I don’t have to explain there’s a picture xD
Answer:
the answer is x=108
What is the perimeter of the following composite figure?
12 yd
9 yd
O 35.13 yd
O 21 yd
O 47.13 yd
O 42 yd
Answer:
C
Step-by-step explanation:
Here, we have a rectangle and a semi-circle and we want to calculate the area of the given shape
To get this, we add the area of the rectangle to the area of the semi-circle
The area of the rectangle is 12 * 9 = 108 square yard
From the diagram, we can see that 9 yards represent the diameter of the semi-circle
What we need to get the area of the semi-circle is the radius and this is half of the diameter
In this case, the half of the diameter is 9/2 = 4.5 yards
The area would be pi * r^2/2
= 3.142 * 4.5^2 = 63.6255/2 = 31.81275 square yards
We proceed to add this to the area of the rectangle
Mathematically, that would be ;
31.81275 + 108 = 139.81275 square yards
The closest answer here is 139.79 which we are going to select
The reason for the answer difference is the version of pi used
Pi could be 22/7 or 3.142
Using both will lead to different answers before approximation
Answer:
139.79 yd^2
108 + 31.79 = 139.79
Explanation:
Rectangle's Area
12 x 9 = 108
Semi Circle's Area
9 x 9 = 81
81 x 3.14 = 254.34
254.34/8 = 31.79
The semi circle's 2 formulas are πr^2/2 and πd^2/8.
Use πd^2/8 if you are using the diameter
the d stands for diameter
Use πr^2/2 if you are using the radius
the r stands for radius
This is what I used for the semi circle
3.14 x 9^2/8
You can also use this
3.14 x 4.5^2/2
Both of those work and you will get the same results.
consider this equation. 7.8+2(0.75m+0.4)=-6.4m+4(0.5m-0.8) Mia solved the equation and determined that m=2. Is she correct?
A She is incorrect because when substituting 2 for m the result was a true statement.
B She is incorrect because when substituting 2 for m the result was a false statement.
C She is correct because when substituting 2 for m the result was a true statement.
D She is correct because when substituting 2 for m the result was a false statement.
Answer:
B) She is incorrect because when substituting 2 for m the result was a false statement.
Step-by-step explanation:
Let's solve it for ourselves and see if Mia is correct:
7.8+2(0.75m+0.4)=-6.4m+4(0.5m-0.8)
7.8+1.5m+0.8=-6.4m+2m-3.2
1.5m+8.6=-4.4m-3.2
8.6=-5.9m-3.2
11.8=-5.9m
-2=m
m=-2
Since the answer is actually m=-2, Mia's guess is incorrect because plugging in m=2 does not make both sides equal. Therefore B is the correct option.
Order the following from greatest to least.
0.7, 0.004, 1/200, 2/15
Answer:
0.7, 2/15, 1/200, 0.004
Step-by-step explanation:
deshaun made $289 for 17 hours of work at the same rate how much would he make for 11 hours or work
Answer:
$187
Step-by-step explanation:
289/17 = 17
Hourly = $17
17 × 11 = 187
Answer = $187
Write the equation of a line that passes through the points (6, 8) and ( -2, 4) in
slope intercept form
Answer:
Equation of a line that passes through the points (6, 8) and ( -2, 4) in
slope intercept form is
[tex]y =-\frac{1}{2} x + 11[/tex]
Step-by-step explanation:
General Equation of straight line is
[tex]y-y_1 =\frac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex] ---------- (1)
Here
[tex](x_1, y_1) = (6, 8) \ \ and \ \ (x_2, y_2) = (-2, 4)[/tex]
Substituting values in (1)
[tex]y-8 =\frac{4-8}{-2-6}(x-6)[/tex]
Simplifying it further
[tex]y-8 =-\frac{1}{2}(x-6)[/tex]
[tex]y =-\frac{1}{2} x + \frac{1}{2} 6 + 8[/tex]
[tex]y =-\frac{1}{2} x + 3 + 8[/tex]
[tex]y =-\frac{1}{2} x + 11[/tex]
Answer:
hey D im in south carolina with antonio,kayla, and my dad
Step-by-step explanation:
You've been saving your allowance to buy some new video games you head to the mall to do some shopping you say that two stores are having a big sale on video games GameWorld is selling for video games for $68.00 Best Bargains is selling 6 video games for $99.00 If you only want to buy one video game which store will give you the better deal explain.
Answer: Best Bargains will give a better deal at $16.50 per game.
Step-by-step explanation:
You did not mention the number of games GameWorld was selling for $68.00 and that number is 4.
GameWorld is selling 4 games for $68.00. They are therefore selling one game for:
= 68/4
= $17.00 per game
Best Bargains is selling 6 video games for $99. Each game is:
= 99/6
= $16.50 per games
Best Bargains will give a better deal at $16.50 per game.
