Given:
Two complex numbers are [tex]w_1=-2+3i[/tex] and [tex]w_2=4-4i[/tex].
To find:
The complex number that can be added to [tex]w_1[/tex] to produce [tex]w_2[/tex].
Solution:
Let complex number [tex]z=[/tex] is added to [tex]w_1[/tex] to produce [tex]w_2[/tex].
[tex]w_1+z=w_2[/tex]
[tex]z=w_2-w_1[/tex]
On substituting the values, we get
[tex]z=(4-4i)-(-2+3i)[/tex]
[tex]z=4-4i+2-3i[/tex]
Combine like real and imaginary parts.
[tex]z=(4+2)+(-4-3)i[/tex]
[tex]z=6+(-7)i[/tex]
[tex]z=6-7i[/tex]
Therefore, the correct option is C.
I need help on a math assignment.
Answer:
(18 , - 10)
Step-by-step explanation:
5x + 4y = 50 .... (1)
x + 2y = - 2 ... (2)
Solve (2) for "x"
x = - 2y - 2 .... (3)
(3) ----> (1)
5(- 2y - 2) + 4y = 50 ⇔ - 6y - 10 = 50 ⇒ y = - 10 .... (4)
(4) ----> (2)
x + 2(- 10) = - 2 ⇒ x = 18
(18, - 10)
Evaluate: 476.8 - 54.32 + 16.54 - (-12.23)
A) 559.89
B) 410.25
C) 426.79
D) 451.25
NEED HELP ASAP
he distance between 314 and −134
Answer:
i am pretty sure its 180
Step-by-step explanation:
mark me brainliest plz so close to next rank
6. One of the transformations above was a dilation by a scale factor of k. The scale factor is the multiplicative amount that the picture has been enlarged. To calculate it, divide any length on B by the corresponding length on A. Use your ruler to make these measurements and then calculate the scale factor of the dilation. Round to the nearest tenth.
Answer:
well it is b
Step-by-step explanation:
well I tried my best
When a figure or a shape is dilated, the size of its image will either be enlarged or compressed.
The scale of dilation from A to B is 1.5
See attachment for the image that completes the question.
Using a ruler, we have the following measurements
[tex]\mathbf{A = 1\ inch}[/tex]
[tex]\mathbf{B = 1.5\ inches}[/tex]
The scale factor (k) from A to B is:
[tex]\mathbf{k = \frac BA}[/tex]
This gives
[tex]\mathbf{k = \frac {1.5\ inches}{1\ inch}}[/tex]
[tex]\mathbf{k = \frac {1.5}{1}}[/tex]
[tex]\mathbf{k = 1.5}[/tex]
Hence, the scale factor (k) from A to B is 1.5
Read more about dilations at:
https://brainly.com/question/19347268
a standard bathtub holds 70 gallons of water on average it takes 7 and 1.5 minutes a bathtub how many gallons go down the drain each minute
Answer:
jrir4hut4hgu8
Step-by-step explanation:
Today Yumaira sold twice as many bags of popcorn at the ball game as she sold last Saturday. In the 2 days she sold a total of 96 bags. Find The number of bags of popcorn sold today and how many popcorn bags were sold on Saturday.
Answer:
32 bags we sold last Saturday, and 64 today.
Step-by-step explanation:
So first, we make a ratio. 2:1, as she sold twice as much. yo could also write it in an equation; 2x+x=96. in both, we see that 3x is equal to 96, and so, x would be equal to 32. to find how many she sold today, multiply that number by 2, to get 64. Hope this helped :)
Jeffrey earned $65 doing yard work. He bought a pair of jeans for $31.25 and a sweatshirt for $16.50.He set aside the money left from his shopping trip to buy a gift for his cousin. How much money did he set aside for the gift?
Answer:
$17.25
Step-by-step explanation:
Jeffrey earned $65 doing yard work.
He bought a pair of jeans costs = $31.25
and a sweatshirt costs = $16.50
Total amount he spent = 31.25 + 16.50 = $47.75
Now he left with money from his shopping = $65.00 - $47.75
= $17.25
Jeffrey set aside $17.25 for the gift.
Brainliest FAST & CORRECT!!!
Answer:
oop
Step-by-step explanation:
Answer:
It is the 4th choice mark me brainliest
Step-by-step explanation:
Drew played video games this morning for 48 minutes. He plans to
play 30 minutes again each day for the rest of the week. Which
function can be used to find y, the number of minutes Drew has
played video games in all? *
O y = 78%
O y = 30x + 48
O y = 48x + 30
O Not Here
Answer: 2nd option
Step-by-step explanation: we know he play 48 minutes this week, and plan to play 30 more each day. So to find number of play time, it would be y (number of playtime) = 30x + 48.
Answer:
optio 2
Step-by-step explanation:
5y + 24
Factor the expression
The expression is not factorable with rational numbers.
Find the value of f(-1) for the function f(x)=4x + 10 *
Please Help!! If answer, please answer them all, thank you!!
9514 1404 393
Answer:
(b) angle FOA
(c) angle EOA
(d) angle AOH
Step-by-step explanation:
(b) The rays of vertical angles are opposites that form intersecting lines.
The opposite of ray OG is OF. The opposite of ray OB is OA, so the vertical angle to GOB is angle FOA.
__
(c) The opposite of ray OB is OA, so the supplement to angle EOB is angle EOA.
__
(d) Similarly, the supplement to angle BOH is angle AOH.
_____
Comment on supplementary angles
Angles that form a linear pair are supplementary. Angles do not have to form a linear pair to be supplementary. They merely have to have a sum of 180°. Here, the supplementary angles of interest do form a linear pair, so finding the other angle of the pair means only finding the other point that names the line being formed by the pair.
What is the slope of a line with the equation y = -x + 6?
Need help ASAP Select all numbers that are irrational
Answer:
The 3rd and 4th ones :))
Simplify X+2/x2+2x-3/x+2/x2-x
Answer:
the correct answer is B :)
Step-by-step explanation:
edge 2020
Answer:
B
Step-by-step explanation:
cause math
Describe how to evaluate and then evaluate
the following power: 81 3/2
Answer:729
Step-by-step explanation:
81^3/2
(3^4)^3/2
3^6
729
Evaluate the expression.
|23 – 4|
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[tex] |4 - 23| = - (4 - 23) = [/tex]
[tex]23 - 4 = 23 - 3 - 1 = [/tex]
[tex]20 - 1 = 19[/tex]
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BRAINLIEST!!! Correct answers only!
Answer:
the first one
hope this helps
Which expressions can be simplified as StartFraction 625 Over n Superscript 12 Baseline EndFraction? Check all that apply.
Answer:
A and E
Step-by-step explanation:
(5n^-3)^4= A (25n^-6)^2=E
Answer:
A and E ФωФ
Step-by-step explanation:
Find the volume of a cone with the radius of 6 height of 8 and length of 10
The volume of the cone with a radius of 6 units, height of 8 units, and length of 10 units is approximately 301.5928 cubic units.
To find the volume of a cone, you can use the formula:
Volume = (1/3) * π * r^2 * h
Where π (pi) is approximately 3.14159, r is the radius of the cone, and h is the height of the cone.
In this case, the radius is given as 6 units, and the height is given as 8 units.
To calculate the volume, substitute these values into the formula:
Volume = (1/3) * 3.14159 * (6 units)^2 * 8 units
Volume = (1/3) * 3.14159 * 36 square units * 8 units
Volume ≈ 301.5928 cubic units
Therefore, the volume of the cone with a radius of 6 units, height of 8 units, and length of 10 units is approximately 301.5928 cubic units.
Learn more about volume of cone here:
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sum of angle
measures: 180
find the value of x
then find the angle measures of the polygon
Answer: X = 60 degrees.
60 + 60 + 65 - 5 = 180.
Please help on the clear top two! Someone please explain what I’m supposed to do step by step.
Answer:
So what you're being asked to do for #4 is graph the line. The y-intercept would be -2, and then a line with a slope of 1/3(rise over run) will go through that y-intercept. For the second one, you need to convert it to y = mx + b form and then do the same thing.
the cost to rent a car is $1.50 per mile for the first 100 miles, plus $0.50 per mile for each mile for each additional mile. If you rent a car and are charged $206, how many miles did you travel?
Answer:
128 miles
Step-by-step explanation:
1.50×100=$150
Now,
$206-$150=$56
As for additional miles it's plus $0.50 i .e $2
$56/2=28
Therefore,$150=100
$ 56=28
8
Which is the algebraic representation for a rotation 180° clockwise?
A. Y,X
B. -y,x
C. Y,-x
D. -x-y
The required algebraic representation for a rotation 180° clockwise is -x, -y. Option D is correct.
What is the transformation of geometry over the coordinate plane?Transform the shapes on a coordinate plane by rotating, reflecting, or translating them. Felix Klein introduced transformational geometry, a fresh viewpoint on geometry, in the 19th century.
here,
When rotation 180° clockwise takes place then the sign of the coordinate is reversed as if it is positive then it becomes negative and vice versa.
So the algebraic representation for a rotation 180° clockwise of (x, y) is (-x, -y).
Thus, the required algebraic representation for a rotation 180° clockwise is -x, -y. Option D is correct.
Learn more about transformation here: https://brainly.com/question/18065245
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hey dude pls answer this
Answer:
Part A: 10 ft per 2 minutes, so 5ft per 1 minute. so the slope would be -5.Part B: He would be -30ft, or 30 ft under the sea level.
Step-by-step explanation:
#teamtrees #WAP (Water And Plant)
can someone please help
Answer:
The fourth answer
Step-by-step explanation:
Answer:
{6,9}
Step-by-step explanation:
The table values are given as;
x y
0 0
2 3
4 6
Take the values as coordinates in form of {x, y} , to have the following;
{0,0} , {2,3} , {4,6}
Find the slope using the coordinates as;
m=Δy/Δx
m=3-0/2-0 = 3/2
The slope m = 3/2
So from the answer choices, the coordinates that can give a slope of 3/2 will be:
{6,9}
The x coordinates increase by 2units while those of the y coordinates increase by 3 units.
PLEASE HELP What is the slope of the line in the graph? I'll give brainliest to who ever gets it
-4/3
-3/4
3/4
4/3
Answer:
-3/4
Step-by-step explanation:
the slope of the line is going in a negative direction. if it were positive it would be going the opposite way. remember; negative slopes go from positive to negative going down and positive slopes go from negative to positive going up. Your answer here is: -3/4
Answer:
1/1???
Step-by-step explanation:
Choose the appropriate transformation for the figure
Picture above ***
i dontt get it plse hellp meeee
Answer:
there is nothing here
Step-by-step explanation:
Answer:
-2
Step-by-step explanation:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
1/3*(x-10)-(-4)=0
Step by step solution :
STEP
1
:
1
Simplify —
3
Equation at the end of step
1
:
1
(— • (x - 10)) - -4 = 0
3
STEP
2
:
Equation at the end of step 2
(x - 10)
———————— - -4 = 0
3
STEP
3
:
Rewriting the whole as an Equivalent Fraction
3.1 Subtracting a whole from a fraction
Rewrite the whole as a fraction using 3 as the denominator :
-4 -4 • 3
-4 = —— = ——————
1 3
Equivalent fraction : The fraction thus generated looks different but has the same value as the whole
Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator
Adding fractions that have a common denominator :
3.2 Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
(x-10) - (-4 • 3) x + 2
————————————————— = —————
3 3
Equation at the end of step
3
:
x + 2
————— = 0
3
STEP
4
:
When a fraction equals zero :
4.1 When a fraction equals zero ...
Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.
Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.
Here's how:
x+2
——— • 3 = 0 • 3
3
Now, on the left hand side, the 3 cancels out the denominator, while, on the right hand side, zero times anything is still zero.
The equation now takes the shape :
x+2 = 0
Solving a Single Variable Equation:
4.2 Solve : x+2 = 0
Subtract 2 from both sides of the equation :
x = -2
One solution was found :
x = -2
Adding & Subtracting Polynomials need help
Answer:
aisuejejrfjtntn
Step-by-step explanation: