Which subtraction expression
has the difference 1 + 4i?
O (-2+ 6i) - (1 - 2i)
O (-2+ 6i) - (1 - 2i)
O (3 + 5i) - (2 - i)
O (3 + 5i) - (2 + i)
Answers
Answer: d, (3+5i)-(2+i)
Step-by-step explanation:
i’m smart
The subtraction expression that has the difference 1 + 4i is (3 + 5i) - (2 + i).
Option D is the correct answer.
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.com
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
We can find the difference 1 + 4i by subtracting the complex numbers in each expression and checking which one gives us the result of 1 + 4i.
Let's start with option (a):
(-2 + 6i) - (1 - 2i) = -2 + 6i - 1 + 2i = -3 + 8i
This is not equal to 1 + 4i, so option (a) is not the correct answer.
Let's move on to option (b):
(-2 + 6i) - (1 - 2i) = -2 + 6i - 1 + 2i = -3 + 8i
We have already seen this expression and it is not equal to 1 + 4i. Therefore, option (b) is also not the correct answer.
Let's move on to option (c):
(3 + 5i) - (2 - i) = 3 + 5i - 2 + i = 1 + 6i
This is not equal to 1 + 4i, so option (c) is not the correct answer.
Finally, we have the option (d):
(3 + 5i) - (2 + i) = 3 + 5i - 2 - i = 1 + 4i
This is equal to 1 + 4i.
Thus,
The subtraction expression that has the difference 1 + 4i is (3 + 5i) - (2 + i).
Learn more about expressions here:
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Related Questions
A store is having a 20%-off sale on all merchandise. If Mai buys one item and saves $13, what was the original price of her purchase? Explain or show your reasoning.
Answers
Answer:
The original price of her purchase was $65.
Step-by-step explanation:
From the information given, you know that $13 represents 20% of the original price and you can use a rule of three to find the value that represents 100%, which would be the original pice of her purchase:
$13 → 20%
x ← 100%
x=(13*100)/20
x=1300/20
x=65
According to this, the answer is that the original price of her purchase was $65.
The Jayden family eats at a restaurant that is having a 15% discount promotion. Their meal costs $78.21 before the discount, and they leave a 20% tip. If the tip applies to the cost of the meal before the discount, what is the total cost of the meal? Round your intermediate calculations and answer to the nearest cent.
will give crown if answered correctly..
Answers
Answer:
what is a crown
Step-by-step explanation:
they should stop eating out
Instructions: Find the measure of the indicated angle to the nearest degree.
Answers
Answer:
30°
Step-by-step explanation:
In a right triangle, if the " opposite side of a hypotenuse is half of the hypotenuse, then the opposite angle to the leg is 30°
Translate the following sentence into a mathematical equation. The sum of 10 and five times a number is the same as the difference of the number and 6
Answers
Answer:
The sentence in mathematical form is: [tex]5x+10 = x-6[/tex]
Step-by-step explanation:
The given statement can be converted into a mathematical equation step by step.
First of all, we have to suppose a variable for the number as we don't know the exact number.
So,
Let x be the number then
five times a number => 5x
The sum of 10 and five times a number => 5x+10
the difference of the number and 6 => x-6
Putting in equation form we get
[tex]5x+10 = x-6[/tex]
Hence,
The sentence in mathematical form is: [tex]5x+10 = x-6[/tex]
Why does the sequence of translating and reflections matter?
Answers
Answer:
If two or more of the transformations have a vertical effect on the graph, the order of those transformations will most likely affect the graph. If two or more of the transformations have a horizontal effect on the graph, the order of those transformations will most likely affect the graph.
Step-by-step explanation:
Hope this helps you with your math
Helps me solve this problem please
Answers
Answer:
The slope is -3/7 so B
Step-by-step explanation:
Just turn this into slope-intercept form.
what you do is subtract 3x so that it's moved to the right side.
It should look like this -7y = 12 - 3x
Then just divide all numbers by 7 so everything is simplified
It should look like this y = -3/7x - 12/7
pls mark brainliest because i didn't waste you time lol
Suppose a Pony Express rider was paid $168 for 14 weeks of work.
If he was paid the same amount each week, how much was he paid for one week of work?
Answers
Evan told his mom that he could make 14/ 12 of a cake and 5/ 6 of another cake into 2 whole cakes his mom said no way prove it explain why or why not
Answers
Answer:
The mother is wrong
Step-by-step explanation:
What we do here will be to add the fractions of the cakes that we have
Mathematically, that will be;
14/12 + 5/6 = 24/12 = 2
This means that the mother is wrong and the cakes can actually be made into 2
Julio says, "If you subtract 18 from my number and multiply the difference by - 3, the result is
- 15." What is Julio's number ?
Answers
Answer:
(X-18)-3=15
3x-54=15
3x=15+54
3x=69
x=23
So jubo's number is 23
9.75 x 10 minus to the 4th power?
Answers
For the members of the golf club the ratio men:children = 11:2. The ratio women:children is 10:3. Find the ration men:women
Answers
What is the value of n of this data? Type a numerical answer in the space provided. Do not type spaces or decimals in your answer.
3, 12, 15, 25, 30, 40
Answers
Answer:
The value of n for this data is 6
Step-by-step explanation:
The given data is:
3, 12, 15, 25, 30, 40
In a set of given data, n is used to represent the number of values in a dataset. The values are also called observations. Hence, the total number of observations in a dataset are denoted by n.
In the given dataset, total values are 6.
So,
n = 6
Hence,
The value of n for this data is 6
so sometimes i put a question with lots of points and a lot of people come up just for the points and not to help me just to let these people know i report all the people who do it so what you do is not worth it 'cause when the person report you lose the points you earned so I don't see any point in it and why .
do not do with others what you do not like that when is do with you
Answers
Answer:
If you have any questions I can try to help :)
Step-by-step explanation:
I'm sorry people keep doing that to you
and thank you for the points <3
i need help :( jejeendhndhednndndndn
Answers
Using the slope, state whether the lines are parallel, perpendicular, or neither.
Y= 2x-3
y=-1/2x+2
Answers
Answer:
Parralel lines have the exact same slope.
in the equation y=mx+b m is the slope
Both of these equations are in slope intercept form (y=mx+b) meaning that the coefficient in both equations is the slope.
Parralel lines have the same slope and perpendicular lines have the inverse opposite slope. For example if a line had a slope of 2 or 2/1 then the perpendicular line to it would have a slope of -1/2.
With that knowledge we can easily see that the lines are perpendicular since their slopes (represented by the coefficient) are the inverse opposite.
Perpendicular is your answer
Step-by-step explanation:
The Comfy blanket is regularly priced at $39.99 online on amazon. The website is offering a 10% discount as part of their holiday sales. There is a 6% tax as well. Find the find the final cost.
Answers
Answer:
$38.4Step-by-step explanation:
Step one:
we are told that the price online is $39.99
and that the discount is 10%
and also tax is 6%
Step two:
discount
let us solve for the deduction first
=10/100*39.99
=$3.99
Tax
=6/100*39.99
=$2.4
The final cost= cost online-10% discount+6% tax
Final cost= 39.99-3.99+2.4
Final cost = $38.4
for the function f(x) = 2(8)^x evaluate f(2)
Answers
Answer:
f(2)=128
Step-by-step explanation:
f(x) = 2(8)^x evaluate f(2)
f(2)= 2(8)^2
f(2)=2(64)
f(2)=128
Determine if the two triangles are congruent. Help please
Answers
Answer:
ASA
Step-by-step explanation:
As we know that the Two corresponding angles are equal along with their Included Side (Side bounded by the angles) are equal as they share the common Included Side, through ASA criterion we can prove that the two angles are congruent.
What is the nature of the solution set to the following system of equations?
5x - y = 2
2x-0.5y=3
Answers
Answer:
u can use substitute or eliminate
Solve 4q = 52
Q=
Which statement shows the correct justification for the step used to solve the equation
Answers
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[tex]4q = 52[/tex]
Divide sides by 4
[tex] \frac{4q}{4} = \frac{52}{4} \\ [/tex]
Simplification
[tex]q = 13[/tex]
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A particular computer takes 11 minutes to download a 33-minute TV show. How long will it take the computer to download a 2-hour movie?
Answers
Answer:
42 minutes because i add 33min and 1/2 hours together and got 42
Step-by-step explanation:
42 minutes because i add 33min and 1/2 hours together and got 42
Answer:
40 minutes
Step-by-step explanation:
120 minutes = 2 hrs
120/33 = 3.636363636363....
and 3.6363636363.... x 11 minutes = 40 minutes
solve each question -5x + 40= 6x - 70
Answers
Answer:
10=x
Step-by-step explanation:
-5x+40= 6x-70
-5x+110=6x
110=11x
10=x
Answer:
this is da answer
10=x for yoquestion
Please please please help John wants to buy a new video game it cost $39.00. He has $14.00 in his piggy
bank. He works for farmer Jones down the street for $5.00 an hour. How many
hours will he need to work before he can buy his new video game? Make and equation
Answers
Answer:
5 hours
Step-by-step explanation:
39 - 14 = 25
5 x 5 = 25
14 + 25 = 39
Answer:
5 hours
Step-by-step explanation:
John needs $39.00, he has $14 now, and He earns $5 a week working. x= how many hours.
Start by setting the equation,
$39.00= $5x + $14.00
Then solve by
1) subtracting 14 from both sides;
39(-14)= 5x+14(-14), by subtracting 14 on both sides you cancelled out the 14;
39 -14 = 5x becomes $25= 5x (39 -14 =25)
2) divide both sides by 5 to get x alone
25 (/5)=5x (/5) which becomes 25/5=x
3) 25/5 is 5
John must work 5 hours to have enough money to buy his video game.
4) Janet runs half a mile in 1/3 of an hour.
How many miles can she run in one hour?
How far can she run in 4 hours?
I
Answers
First answer: 1.5 miles in an hour
1.5*4=
Second Answer: 6 miles in 4 hours
Answer:
5 miles
Step-by-step explanation:
What is the answer 55 : 60 = ___ : 12
Answers
Answer:
11:12
Step-by-step explanation:
I hoped that i helped u out :)
Answer:
11 is my best guess
Step-by-step explanation:
A carpenter added a diagonal brace to gate. The gate is 8ft. Wide and 10 ft. Tall. How long is the brace
Answers
Answer:
The brace is [tex]2\sqrt{41}[/tex] ft ≅ 12.806 ft long
Step-by-step explanation:
The length of the diagonal of a rectangle can be found using this rule
[tex]d=\sqrt{l^{2}+w^{2}}[/tex] , where
l is its length w is its width∵ The gate has shaped a rectangle
∵ Its length = 10 ft
∵ Its width = 8 ft
∴ l = 10 and w = 8
∵ The brace is the diagonal
→ By using the rule above
∴ [tex]d=\sqrt{(10)^{2}+(8)^{2}}=\sqrt{100+64}=\sqrt{164}[/tex]
∴ The length of the brace = [tex]2\sqrt{41}[/tex] ≅ 12.806 ft
∴ The brace is [tex]2\sqrt{41}[/tex] ≅ 12.806 ft long
I need the answers to both. Will give brainiest!
Answers
Answer:
1. Number 1 and 2 and 4 is a function, 2. number 1 is a function
Step-by-step explanation:
1)To know if it's a function or not run vertical lines through multiple places of the graph. If it is a function every single time you do the vertical line test it should only go over the line once. If you do the vertical line test on 3 you will see that it went over the line on the graph, so we know not a function. Graphs 1, 2, and 4m however, are different, when you do the vertical line test on those graphs it only goes over them once.
2) Choice (1) is a function because when drawing vertical lines through the graph it only goes over one.
Choice (2) is not a function because when drawing vertical lines through the graph it covers two points on the graph.
Choice (3) is not a function because when drawing vertical lines through the graph it goes over multiple points.
Choice (4) is not a function because when a vertical line is drawn, it goes over more than one point on the graph.
The vertical test is a way to determine if it is a function.
When looking at a table functions are one-to-one and many-to-one
Non-functions are one-to-many and many-to-many
Hoped this helped you : )
What is the equation of the line ?
Answers
identify property for -9/7 x -7/9 = 1
Answers
Answer:x = −112/81
Step-by-step explanation:
y+3=-7(x+5) in slope intercept form
Answers
Answer:
IN slope intercept form this is y=-10x-50
y+3=-7(x+5)
y=-10(x+5)
y=-10x-50
Step-by-step explanation: