Answer:
I hope if one of these help.
Step-by-step explanation:
(4 - 3i) + (2 + i )(5 - 2i)
=16 - 2i
If you simplify your answer will be: 16−2i
1) (3+2i)-(1-6i)
2) 4i+3-6+i-1
3) 5i(3-2i)
4) (5+3i)(2-3i)
5) (2+i)(2-i)
1) (3 + 2i) - (1 - 6i)
3 + 2i - 1 + 6i
2 + 8i
2) 4i + 3 - 6 + i - 1
5i - 3 - 1
5i - 4
3) 5i ( 3 - 2i )
15i - 10i^2
15i - 10 ( -1 )
15i + 10
4) ( 5 + 3i ) ( 2 - 3i )
10 - 15i + 6i - 9i^2
10 - 9i - 9i^2
10 - 9i - 9 ( -1 )
10 - 9i + 9
- 9i + 19
5) ( 2 + i ) ( 2 - i )
4 - 2i + 2i - i^2
4 - i^2
4 - (-1)
5
1) 2 + 8i
2) -4 + 5i
3) 10 + 15i
4) 19 - 9i
5) 5
The operations with imaginary numbers are equal to those of the real numbers considering i as a variable, but with a property that allows to simplify the expression more, that is that i squared equals -1. Taking this property into account, we solve the expressions like this:
1) (3 + 2i) - (1-6i) = 3 + 2i - 1 + 6i = 2 + 8i
2) 4i + 3-6 + i-1 = 5i - 4 = -4 + 5i
3) 5i (3-2i) = 5i*3 - 5i*2i = 15i - 10i^2 = 15i - 10(-1) = 15i + 10 = 10 + 15i
4) (5 + 3i) (2-3i) = 5*2 - 5 3i + 3i*2 - 3*3i^2 = 10 - 15i + 6i - 9i^2 = 10 - 9i - 9(-1) = 10 - 9i + 9 = 19 - 9i
5) (2 + i) (2-i) = 2*2 - 2*i + 2*i - i^2 = 4 - 2i + 2i - (-1) = 4 + 1 = 5
I hope one of these help:)
I cannot solve this.. i want to solve this
Carlos created a drawer with an open top for a cabinet. The prism shown represents the drawer.
Which face of the net represents the open face of the prism?
A
В
С
D
Answer:
the answer is c
Step-by-step explanation:
HELP
A company sells widgets. The amount of profit, y, made by the company, is related to
the selling price of each widget, x, by the given equation. Using this equation, find out
the maximum amount of profit the company can make, to the nearest dollar.
y= -2x^2 + 105x – 859
Answer:
519
Step-by-step explanation:
or 519.125
The maximum amount of profit the company can make, to the nearest dollar should be considered as the $519.
Calculation of the maximum amount of profitSince the amount of profit made expressed as [tex]y=-2x^2+105x-859[/tex]
Now
At maximum profit, dy/dx = 0
So,
dy/dx = -4x + 105
0 = -4x + 105
4x = 105
x = 105/4
x = 26.25
Now
[tex]y=-2x^2+105x-859\\\\y=-2(26.25)^2+105(26.25)-859[/tex]
y = - 1,378.125+2,756.25-859
y = 519.125
Hence the maximum amount of profit the company can make is $519.
Learn more about profit here: https://brainly.com/question/24599492
DUE IN 5 MINUTES HELP
Answer:
If its asking to translate by (-5,3) then the answer is the following.
A'(-2, 3)
B'(-1, 1)
C'(-4, 0)
What is the slope of the line that passes through the points (10, 2) and (19, 14) ?
Answer:
4/3
Step-by-step explanation:
Slope = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\[/tex]
[tex]= \frac{14-2}{19-10}\\\\=\frac{12}{9}\\\\= \frac{4}{3}[/tex]
I need help with it
Answer:
variable, variable, known, unknown
Step-by-step explanation:
hmm i sure do ask a lot of questions
Answer:
A bc it show that it travels 25 miles to the hour.
In other words Miles per hour= 25 to 1 hour
Step-by-step explanation:
Hope this helps :)
Jack has to fill 50 water bottles for the football team. Each bottle holds 800 milliliters of water. How much water does jack need in all?
Answer: 4,500 milliliters of water
Step-by-step explanation
50(800)= 4,500 ml
Answer: The answer is 40000
Step-by-step explanation: If he needs to fill up 50 water bottles and each of the bottles have 800 milliliters then do 50*800, which is 40000. He needs 40000 milliliters.
The function y= -0.2 + 0.5 represents the percent y (in decimal form) of battery power remaining x hours after you turn on a laptop computer.
A. Identify and intercept the x- intercept
B. Identify and intercept the y-intercept
Answer:
A
Step-by-step explanation:
intercept the x- intercept
Answer:
Step-by-step explain
x-intercept: 2.8 hours
y-intercept: 0.7 . . . . fraction of power remaining
Step-by-step explanation:
The equation is in slope-intercept form, so the y-intercept can be read directly: 0.7.
To find the x-intercept, set y=0 and solve for x:
0 = -0.25x +0.7
0.25x = 0.7 . . . . . add .25x
x = 2.8 . . . . . . . . . multiply by 4 (that is, the reciprocal of 0.25)
The x-intercept is 2.8; the y-intercept is 0.7.
a) BCD is a straight line.
Triangle ABC is equilateral.
CE = DE
E
Not drawn
accurately
А
320
B
С
Work out the size of angle x.
(4)
Answer:
x = 46°
Step-by-step explanation:
Since Δ ABC is equilateral then interior angles = 60°
Since CE = DE then Δ CDE is isosceles and the base angles are congruent, so
∠ ECD = [tex]\frac{180-32}{2}[/tex] = [tex]\frac{148}{2}[/tex] = 74°
BCD is a straight line, then the 3 angles on it sum to 180°, that is
60° + 74° + x = 180°
134° + x = 180° ( subtract 134° from both sides )
x = 46°
Lol i need help plsplspls
Answer:
y = 15
y = -10
Step-by-step explanation:
y=-5x
y= -5(-3)
= 5 × 3 = 15
y = 15
y = -5x
y = -5(2)
y = -5 × 2
y = - (5 × 2)
5 × 2 = 10
y = -10
Is the domain of {-2, 1, 2, 3} and range of {2, 3} a function?
mb 4
Step-by-step explanation:
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HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Answer:
Just multiply
Step-by-step explanation:
simplify -(2x-3)+7-4x
-6x + 10 is the answer!!!!
toy store is having a sale on puzzles. For each puzzle Naomi buys
she gets 75% off a second puzzle. The original price of a puzzle is $16.60.
How much would 4 puzzles cost? *
Answer:
4 puzzles would cost $41.50
Answer:
$41.50
Step-by-step explanation:
Add the currency of your sum then subtract but double the 75%
i hope this helped :)
Is the answer to this 4?
Answer:
Yes, but make sure to check with another person to double check.
Good job ;)
Step-by-step explanation:
(None)
convert the following repeating decimal to a fraction in simplest form .53
9514 1404 393
Answer:
53/99
Step-by-step explanation:
When an n-digit repeat begins at the decimal point, the repeating digits can be placed over an equal number of 9s to make a fraction. Sometimes, that fraction can be reduced to lower terms.
[tex]0.\overline{53}=\boxed{\dfrac{53}{99}}[/tex]
__
If the repeat does not start at the decimal point, the conversion can be done as follows.
For a number x with a decimal fraction that has n digits repeating, multiply by 10^n, subtract x and then divide by (10^n -1).
The fraction will be ...
(x·10^n -x)/(10^n -1) . . . where x has n repeating digits in the decimal fraction
Here, that looks like ...
[tex]x=0.\overline{53}\\100x=53.\overline{53}\\100x-x=53.\overline{53}-0.\overline{53}=53\\99x=53\\x=\dfrac{53}{99}[/tex]
I need help asap !!!!! 40 POINTS
Answer:
15
Step-by-step explanation:
x+5/36 = x/27
these are similar triangles
Write an equation of the trend line in slope intercept form
Answer:
the answer for this question you have id number 8
Multiple the bionomials and then PICK YOUR ANSWER FROM THE ANSWER BANK!
I need to know what goes in the black spots
helpppppp please.....
Answer:
124
Step-by-step explanation:
42+82=? (ext ∠'s of triangle equal to int opp)
42+82= 124°
Evaluate the expression when a=6 and b=9.
6² – 3a / b
Simplify your answer as much as possible.
Remy is on the Track Team. She spends 45 minutes running during each practice.
How many minutes will she run in 10 days?
Answer:
450 minutes
Step-by-step explanation:
Answer:
Wouldn't you multiply 45 × 10?
Step-by-step explanation:
Because it's 45 minutes each day she practices.
Andy took out a 5 year loan at 12% interest rate to pay for a trip to Spain. If he ended up paying $4937.50 in interest, how much was the trip?
Answer:
Trip cost $8229.17
Step-by-step explanation:
I = PRT I = 4937.50 R = .12 T = 5 P = amt for the trip
4937.5 = .12(5)P
4937.5 = .6P
P = 4937.5/.6 = $8229.17
Answer:$8229.17
Step-by-step explanation:
Please help me, there are 2 pictures because my screen does not fit it all, will award brainliest and extra 100 points if correct.
On Tuesday, Marissa was $45 short of her fundraising goal. The next day, she was $5 over her goal write an equation to show how much she raised in one day.
Answer: Hello daema, let's let x be the goal and c be the collection per day.
x - 45 + c = x + 5 is the answer so now let's talk about how we did that.
So she wants to get to x which is the goal. But right now she has 45 less than what her goal is. So that would look like this x - 45 now she has to get c or the collection per day to get to her goal. So now it looks like this x - 45 + c. Now that c has to be at least x which is her goal, it now will look like this x - 45 + c = x. But we're not done, the question said that now she 5$ over her goal, or x. So we have to add the + 5 onto the end so now it looks like this x - 45 + c = x + 5. To solve the equation "if you have to" it would be x = 50$ per day.
What is the value of n when 3/5 of n is 12? Enter the answer in the box.
Answer:
n = 20
Step-by-step explanation:
n = 12 / (3 / 5)
n = 12 x 5/3
n = 4 x 5
n = 20
Hope that helps!
Answer:
dont knoiw
Step-by-step explanation:
sorry
please help as soon as popssible ill give thanks and brainliest
14m - 9n + 2n -3(3m - 4)
Answer:
14m-7n-3
Step-by-step explanation:
Answer:
5m-7n+12
Step-by-step explanation:
eli is going to make apple pie he buys 17 apples and put them and put the in paper bags to take home each bag holds 6 apples how many bags eli completely fill? how many appels are left
Answer:
Eli can only have 2 bags, and there will be 5 apples left
Step-by-step explanation:
17/6=2 with a remainder of 5
Answer:
17/6=2 with a remainder of 5
Step-by-step explanation: