Step-by-step explanation:
(5+3i)-(2+9i)
= 5 +3i - 2 -9i
= 5-2 +3i -9i
= 3 -6i
= 3( 1- 2i) [ 3 is taken as common]
this is the answer
The difference of (5 + 3i) and (2 + 9i) would be; 3( 1- 2i).
What are complex numbers?Complex numbers are those numbers that contain the imaginary and the real part. Complex value z is written in a rectangular form as z = x+iy where (x, y) is the rectangular coordinates.
WE are asked to find the difference between (5 + 3i) and (2 + 9i).
Thus, (5+3i)-(2+9i)
= 5 +3i - 2 -9i
= 5-2 +3i -9i
= 3 -6i
= 3( 1- 2i) [ 3 is taken as common]
Therefore, the difference of (5 + 3i) and (2 + 9i) would be; 3( 1- 2i).
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Choose what the expressions below best represent within the context of the word problem.
The tens digit of a number is twice the ones digit. The sum of the digits in the number is
12. What is the number?
x represents ____ digit
2x represents ____ digit
a stereo system cost 275 is on sale for 15% off .The sales person receives a 2% commission. How much of a commission do they receive?
Answer:
$4.68
Step-by-step explanation:
If the stereo is 15% of then you have to do 85% of 275
[tex].85*275= 233.75[/tex]
If the sales person only makes a 2% commission then we need to do 2% of 233.75
[tex].02*233.75=4.675[/tex]
Since money only goes to the hundredths place we need to round to the hundredths.
[tex]4.68[/tex]
Find the x and y-intercepts of the linear equation. Write your answers as coordinate pairs 4x-8y= - 32
Answer:
x-intercept: x=-8+2y
y-intercept: y=4+[tex]\frac{1}{2}x[/tex]
Coordinate pairs: (-8,0) , (0,4)
Step-by-step explanation:
Picture attached, please help, multiple choice
Answer:
8 & 4
5 & 1
2 & 7
Step-by-step explanation:
8 & 4 are corresponding angles
5 & 1 are corresponding angles
2 & 7 are alternate exterior angles
can someone help me??? plz
Answer:
Cna you give me brainleist and thank me and rate me fo all the ones i anwser?
Step-by-step explanation:
Thereisalinewhoseslopeis0andwhose y -intercept is –6 . What isitsequationin slope -intercept form? Write your answer using integers, proper fractions, and improper fractions in simplest form.
Answer:
The equation of a line with slope 0 and y-intercept -6 in slope-intercept form is [tex]y = -6[/tex].
Step-by-step explanation:
From Analytical Geometry we know that equation of the line in slope-intercept form is represented by:
[tex]y = m\cdot x + b[/tex] (Eq. 1)
Where:
[tex]x[/tex] - Independent variable, dimensionless.
[tex]y[/tex] - Dependent variable, dimensionless.
[tex]m[/tex] - Slope, dimensionless.
[tex]b[/tex] - y-Intercept, dimensionless.
If we know that [tex]m = 0[/tex] and [tex]b = -6[/tex], then the equation of the line is:
[tex]y = 0\cdot x +(-6)[/tex]
[tex]y = -6[/tex]
The equation of a line with slope 0 and y-intercept -6 in slope-intercept form is [tex]y = -6[/tex].
Answer:
ummmmmmmmmmmmmmmmmmmmmme'[4wszmdg
Aw;3;ootgkokgm bkttmo[
q324wky
['
Step-by-step explanation:
EASY
Need the following would you rather questions to be answered for a survey, need 5 people to answer
1) Would you rather be on house arrest or go to jail for a month?
2) Would you rather go to court and plead guilty or be placed on probation for 10 months?
3) Would you rather clean garbage alongside the road or speak to schools?
4) Would you rather go to solitary confinement for a year, or go to regular prison for 10?
5) Would you rather spend a half a lifetime in prison or a lifetime on probation?
Answer:
1-jail for 1 month
2-prombation for 1 month
3-speak to schools
4-solitary confindment for 1 year
5-half life in prison
Step-by-step explanation:
hope this helps!
Answer:
1) jail for a month
2) probation for 10 months
3) speak to schools
4) regular prison for 10
5) lifetime on probation
Step-by-step explanation:
❤️❤️❤️
Plzzz help!!!!
Due tonight
Answer:
B, D,E
Step-by-step explanation:
Brainliest pls
Answer:
B,D,E
Step-by-step explanation:
Are AABC and ADEF similar??
Answer:
yes
Step-by-step explanation:
Answer:
yes they are similar
Step-by-step explanation:
DEF HAVE TWICE THE LENGTH OF ABC
have a nice day with 10 points and if anyone puts a long fun story in there answer they will get brainly
Describe the translation from triangle ABC (red) to triangle A'B'C' (blue) in words. Use words like up, down, left, right. *
Answer:
3 up and 5 to the left
Step-by-step explanation:
Just focus on one point. I focused on A and then saw where A' was and then matched it up.
Bob drives 252 miles to the mountains. He gets there in 3.5 hours. Assuming he is traveling at a constant rate, about how many miles does he go in one hour?
Answer:
Well if you multiply its 882 and if you divide its 72 if you subtract its 248.5
Step-by-step explanation:
Can someone please help me with this problem and explain? Thank you!
A business orders 215 flowers for their employees on Valentine's Day. Roses cost $3.00 each, carnations cost $1.00 each, and lilies cost $2.00 each. There are 15 more lilies than roses. The total of the order came to $410.00. How many of each type of flower were ordered?
Let, number of roses, carnations and lilies are x, y and z respectively.
So,
x + y + z = 215 ....1 )
It is given that total cost is $410.00 :
3x + y + 2z = 410 ....2 )
Also, there are 15 more lilies than roses.
z = x + 15 ....3 )
Putting value of z in eq 1 and 2 , we get :
x + y + x + 15 = 215
2x + y = 200 ....4 )
3x + y + 2( x + 15 ) = 410
5x + y = 380 ....5 )
Solving equation 4 and 5, we get :
3x = 180
x = 60
z = 60 + 15 = 75
y = 215 - 60 - 75 = 80
Therefore, number of roses, carnations and lilies are 60, 80 and 75 respectively.
Hence, this is the required solution.
Ms. Lisak’s salary is $4,500 quarterly. Find Ms. Lisak’s earnings per year.
Answer:
18000
Step-by-step explanation:
4500=1/4 of year
to get year we x 4
4500x4=18000 dollars
Ms. Lisak’s yearly salary will be equal to $18000.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that Ms. Lisak’s salary is $4,500 quarterly. Yearly salary will be calculated by making an expression as below,
Multiply the quarterly salary by 4.
4500=1/4 of year
To get a year we multiply by 4.
4500x4 = 18000 dollars
The yearly salary will be $18000.
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please help I will give brainiest
Answer:
3. x = 4.9
4. x = -1
Step-by-step explanation:
hope this helps :)
Answer:
For number (3) the answer is 4.9
For number (4) the answer is -1
Step-by-step explanation:
(3): 14.8=3x which is equal to 4.9
(4): 14=-14x which is equal to -1
Hope this helps
Plz Brainiest!
Approximate square root of 66 to the nearest integer
The answer is 8.12404
Put the following equation of a line into slope-intercept form, simplifying all fractions. 20x-12y= 20x−12y= \,\,-108 −108
Answer:
well shiet
Step-by-step explanation:
y=5/3x+9 is the slope intercept form of the equation of line 20x-12y=-108
What is slope intercept form of line?The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
The given equation is 20x-12y=-108
We need to write this equation in the form of slope intercept form.
To do this we have to isolate the y term
-12y=-108-20x
Now divide both sides by 12 and multiply with minus.
y=9+20/12x
y=9+5/3x
y=5/3x+9 is the required equation.
Hence, y=5/3x+9 is the slope intercept form of the equation of line 20x-12y=-108
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How do I do this (finding midpoint)
Answer:
x=6
Step-by-step explanation:
4x+3=3x+9
x+3=9
x=6
if you are finding midpoint, set the line segments equal to each other
which of the following are
co-prime?
a) 91 and 72
b) 34 and 51
∆ABC transforms to produce ∆A'B'C'. Which transformation did NOT take place? A. rotation 180° counterclockwise about the origin B. reection across the origin C. rotation 180° clockwise about the origin D. reection across the line y = -x
I don’t know how to do this
Answer:
The figure is rotating clockwise
Step-by-step explanation:
Let us revise the cases of rotation
1. Rotation with positive direction (anti-clockwise)
- If the point (x, y) rotated about the origin by angle 90° anti-clockwise
∴ Its image is (-y, x)
- If the point (x, y) rotated about the origin by angle 180° anti-clockwise
∴ Its image is (-x, -y)
- If the point (x, y) rotated about the origin by angle 270° anti-clockwise
∴ Its image is (y, -x)
2. Rotation with negative direction (clockwise)
- If the point (x, y) rotated about the origin by angle 90° clockwise (-90°)
∴ Its image is (y, -x)
- If the point (x, y) rotated about the origin by angle 180° clockwise (-180°)
∴ Its image is (-x, -y)
- If the point (x, y) rotated about the origin by angle 270° clockwise (-270°)
∴ Its image is (-y, x)
From the given
∵ The figure is rotating around the origin by d degrees
∵ d < 0, which means d is negative
→ According to rule 2 above
∴ The direction of rotation is clockwise
∴ The figure is rotating clockwise
Divide the following numbers. -15 ÷ 3 =
Answer: -5
Step-by-step explanation:
The electric bill reflected a monthly fee of $42.00 as well as a kilowatt per hour charge of $0.0953 for electricity used. Which function determines the amount of electricity used based on the total bill cost? Group of answer choices
Answer:
The amount is 440.71
Step-by-step explanation:
"The electric bill reflected a monthly fee of $42.00 as well as a kilowatt per hour charge of $0.0953 for electricity used. Which function determines the amount of electricity used based on the total bill cost? Group of answer choices"
Given data
monthly fee= $42
kilowatt per hour charge=$0.0953
let the number of hours be =x
let the expression be patterned after the model\
y=mx
here y=42
m=0.0953
We want to find x, the amount of electricity used
42=0.0953x
divide both sides by 0.0953 we have
42/0.0953=x
x=440.71
|2h+7|=4. Solve for h
Answer:
h=-3/2 and h=-11/2
Step-by-step explanation:
There are two solutions for h it is:
2h+7=4 and 2h+7=-4
Lets do 2h+7=4
2h=-3 (Move the 7 to the other side)
h=-3/2 (Answer)
Lets do 2h+7=-4
2h=-11 (Move the 7 to the other side)
h=-11/2 (Answer)
Answer:
h=-3/2, -11/2
Step-by-step explanation:
There are two solutions for h
2h+7=4 and 2h+7=-4
2h+7=4:
Move the 7 to the other side to eliminate the 7 on the left side: 2h=-3
divide: h=-3/2
h=-3/2
2h+7=-4:
Move the 7 to the other side to eliminate the 7 on the left side: 2h=-11
divide: h=-11/2
h=-11/2
Hope this helps!
A bakery sold a total of 200 cupcakes in a day, and 94 of them were chocolate flavored. What percentage of cupcakes sold that day were chocolate flavored?
Answer:
188
Step-by-step explanation:
which is the largest number
A. 7.51
B.7.5
C.7.501
D.7.5
Answer:
its A 7.51
Step-by-step explanation:
Find the points at which the tangent line is horizontal for the given interval. F(x)=cosx-sinx [0,2pi]
Answer:
[tex]x=\{\frac{3\pi}{4}, \frac{7\pi}{4}\}[/tex]
Step-by-step explanation:
For the tangent line to be horizontal, the derivative of the function at that point must be 0.
Thus, let’s first take the derivative of our function:
[tex]f ^\prime(x)=\frac{d}{dx}[\cos(x)-\sin(x)][/tex]
Differentiate:
[tex]f^\prime(x)=-\sin(x)-\cos(x)[/tex]
Now, let’s set our derivative equal to 0:
[tex]0=-\sin(x)-\cos(x)[/tex]
Let’s multiply everything by a negative:
[tex]0=\sin(x)+\cos(x)[/tex]
To solve for x, we can subtract sin(x) from both sides. This gives us:
[tex]\cos(x)=-\sin(x)[/tex]
Now, we can refer to the unit circle. First, remember that the only points for which cosine is equal to sine is at the π/4 points. That is, π/4, 3π/4, 5π/4 or 7π/4.
However, cosine is equal to negative sine. The only two quadrants for which cosine and sine are the same but also have opposite signs is QII and QIV.
Therefore, our answers are 3π/4 and 7π/4.
Between which two steps is the addition property of inequality used?
Given:
Step 1:
Step 2:
Step 3 :
Step 4:
Step 5:
Step 6:
Step 7:
16 > 8x - 4
8x - 4< 16
8x - 4+4 < 16+4
8x + 0 < 20
8x < 20
8x (1) < 20 (1)
1x <
Nu
Answer:
Step 4
Step-by-step explanation:
PLEASE HELP I'VE BEEN TRYING TO FIGURE THIS OUT FOREVER Select the correct answer What is the slope of the line that goes through the points (1. 5) and (4.17 OA OB. - oc OD 2
Answer:
D
Step-by-step explanation: