Answer:
[tex] = 2 + \sqrt{3} i - (9 + 9 \sqrt{3} i) \\ = (2 - 9) + ( \sqrt{3} - 9 \sqrt{3} )i \\ = - 7 + (1 - 9) \sqrt{3} i \\ = - 7 - 8 \sqrt{3} i[/tex]
The required simplification of z2-z1 = -7-8sqrt(3)i.
z1=9+9sqrt(3)i
z2=2+sqrt(3)i
z2-z1 to be determined.
A complex number is defined as the sum of a real and imaginary numbers.
Here,
[tex]z_1=9+9\sqrt(3)i\\z_2=2+\sqrt(3)i\\\\z_2-z_1 = 2+\sqrt(3)i-(9+9\sqrt3i\\z_2-z_1 = 2-9+\sqrt(3)i-9\sqrt3i\\z_2-z_1 = -7-8\sqrt(3)i[/tex]
Thus, the required simplification of z2-z1 = -7-8sqr(3)i.
Learn more about complex numbers here:
https://brainly.com/question/28007020
#SPJ2
If i spen 4/5 of an hour on homework. I spend 1/2 of that time on science homework. How many minutes do i spend on science
Answer:
24 minutes
Step-by-step explanation:
4/5 of an hour is 48 minutes so 48 minutes divided by 2 is 24 minutes
Answer 24 min b c if you have 4/5 of an hour it would be 48 min then half of 48 is 24 minutes
Step-by-step explanation:
can i please have brainliest
What do the parts of expression 48s represent?
What is the equation of the line parallel to y = 9x - 5 passing through (1, 5)
Answer:
y=9x+50
Step-by-step explanation:
tell me if im wrong
What is the quotient and remainder, written as partial fractions, of StartFraction 4 x cubed + 11 x squared minus 9 Over x squared + 3 x + 2 EndFraction?
Answer:
D
Step-by-step explanation:
trust
The quotient and remainder, written as partial fractions will be [tex]4x-1 - \frac{2}{x +1} - \frac{3}{(x +2)^2}[/tex].
What are the Quotients?Quotients are the number that is obtained by dividing one number by another number.
The degree of the numerator is the same as the degree of the denominator, this fraction needs to be simplified.
The rational expression is
[tex]\frac{4x^{3} +11x^{2} -9}{x^{2} +3x+2}[/tex]
Now, the denominator needs to be factored in to split up the second part of the simplified expression into two different partial fractions.
x^2 + 3 x + 2
( x + 1) (x + 2)
The general form of partial fractions.
[tex]A + \frac{B}{x +a} + \frac{C}{(x +a)^2}[/tex]
This gives us,
[tex]4x-1 - \frac{2}{x +1} - \frac{3}{(x +2)^2}[/tex]
Learn more about quotient ;
https://brainly.com/question/730603
helppp!!! hw due in 30min
Answer:
ohh sorry mate cant help
Step-by-step explanation:
ILL MARK AS BRAINLESS
Answer:
i think it is length hopefully that's correct
Answer:
The correct answer ie length and also distance but distance is not there so stick with length
Step-by-step explanation:
Yard is basically we are trying to figure out how wide it is which is like the length and distnace think of it as running for example if a person is jogging around a park we will say they ran 6 yards.Hope this helps!!
Alex counted to 2400 by 6's beginning with 6. Matthew counted to 2400 by 4's starting with 4. How many of the numbers counted by Alex were also counted by Matthew?
Answer: 200
Step-by-step explanation:
Number of numbers counted by Alex;
= 2,400 / 6
= 400
Number of numbers counted by Matthew;
= 2,400/4
= 600
Numbers that both of them counted = 600 - 400
= 200
Which polynomial represents the area of the rectangle?
a. 3x2+2x−5
b. 3x2−5
c. 3x2−2x−5
d. 3x2−8x−5
This is the correct answer according to k12
Answer:
the person above me is right
Step-by-step explanation:
Can someone Help me pls !!!!
Answer:
D
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
hope this helps
What is the relation of 2 parallel lines in terms of their slope?
slope of the lines (-4,-1) and (-5,2)
Can you please help me:(
Answer:
B
Step-by-step explanation:
Since the y-intercept is (0,3), the second part of the equation of slope (y = mx+b) will be +3. There are three ways to find the slope. Just look at the graph and see how much y increases for every time x increases is the first way. Another way is to find two points that have WHOLE numbers. now count the distance of y between them and the distance of x between them. Now put y over x (y/x). The last way is y1-y2/x1-x2, where you choose to straight points and subtract the y from the other y and the x from the other x, then put y over x. Now we can put the whole equation together to get y = 3/2x +3. or y = 1 and 1/2x+3 (its usually an improper fraction though). Hope this wasn't confusing and helped.
HELP PLEASE WITH MY ASSIGNMENT
find the amount of time.
I=$450,P=$2400,r=7.5%
please help it is due today
Answer:
Time=I×100/P×T
=450×100/2400×7.5
=4years
Step-by-step explanation:
On every three hamburgers that McDonald's makes, they use 9 pickles. What is the ratio of hamburgers to pickles in simplest form?
Answer:
3 pickles per burger lol
1:3
Step-by-step explanation:
Answer:
3:9
1:3
because we know that it is 3:9 So we have to simplify it and then 3 divided by 3 equals 1 so 9 divided by 3 is 3
given: ABC - DEF prove: the perimeters P1 and P2 of ABC and DEF are the same ratio, r, as the lengths of their corresponding sides.
match each statement to its corresponding reason. scroll down to see all the choices. drag the items on the left to the correct location on the right.
Answer:
Step-by-step explanation:
Does the relationship {(1,1), (2,1),(3,2), (4,3), (5,5), (6,8), (7,13)} represent a function?
Yes
Answer:
Yes.
Step-by-step explanation:
A function is a set of relations without repetitive domains.
From the given relation, there are no repetitive domains. Thus our relation here is a function.
Example of Function
{(1,1), (2,2), (3,3), (4,4), (5,5)}
Example of Non-Function
{(1,1), (1,2), (2,3), (3,4), (4,5)}
From this relation, there are two repetitive domains which are 1's. Thus not making the relation a function.
Which calculation and answer show how to convert to a decimal 13/16?!!!! will give brainliest.
I think you're missing part of the question?
013/16 = 0.266
will mark brainliest
Answer:
photos is not
Step-by-step explanation:
clearly posted
how do I find the dimensions of my square
To find the area of a square or a rectangle, you would multiply the value of the length by the value of the width.
length x width = area
1. Measure the length of the paper (the length, in this case, is the longest part of the paper).
2. Measure the width of the paper (the horizontal, shorter part of the paper).
3. Multiply said values together to find the area with your chosen system of units.
However, if you are looking for exclusively the length and/or width, you can use a ruler to find said dimensions.
The hotel downtown is 8 feet taller than the bank. The hotel is 43 feet tall.
How tall is the bank?
Answer:
35 bfhdhsbzbzbbxbxbx
the annual rent of a house is RS. 9600 Find the property text due in the owner at the rate of 15 percent per annum
URGENT PLS HELP: Lines m and n are perpendicular. Which of the following statements are true regarding lines m and n? select two that apply.
Answer:
1 and 2
Step-by-step explanation:
help me solve this geometry question
Answer:
a°+110°=180°[ being linear pair]
a°=180-110
a°=70°
b°=a°=70°[ being base of equilateral triangle]
c+b+a=180[being interior angle of triangle]
c+70+70=180
c+140=180
c=180-140
c=40
b
PLEASE HELP!? SUPER EASY!!!!!!!!!!!!!!!!!!
Write an equation for the situation below: You bought a magazine for $3 and some candy bars for $2 each. You spent a total of $19. How many candy bars did you buy?
Answer:
9
Step-by-step explanation:
Answer:
8 candy bars.
Step-by-step explanation:
19 - 3 = 16 ÷ 2 = 8.
Michael has a substantial student debt, but he recently got a new job, which came with a signing bonus. He calculates that with his new job, he can put aside a fixed amount of money every month to pay off his debt. He also puts the entirety of his bonus towards paying off his debt. He constructs the expression to represent the size of his debt after months. Which number describes the value of his signing bonus?
Answer:
Solution in photo
Step-by-step explanation:
[tex]( {x}^{2} - 3x) \sqrt{ {x}^{2} + 5x + 4 } = 0[/tex]
Answer:
x={-4,-1,0,3}
Step-by-step explanation:
(x²-3x)√x²+5x+4=0
x(x-3)=0
√x²+5x+4=0
x(x-3)=0
x=0
x-3=0
x=3
√x²+5x+4=0
x²+5x+4=0 (square both sides)
x²+4x+x+4=0
x(x+4)+1(x+4)=0
(x+4)(x+1)=0
x+1=0
x+4=0
x=-1
x=-4
Answer:
there is is
Step-by-step explanation:
for x^2-3x=0
x=0 or x=3
What type of linear association does the graph show?
Answer:
I think strong positive
Step-by-step explanation:
.......
Under her cell phone plan, Lillian pays a flat cost of $47 per month and $3 per gigabyte. She wants to keep her bill at $57.20 per month. How many gigabytes of data can she use while staying within her budget?
Answer: she can use 3.4 gigabytes
Step-by-step explanation:
yes
4. A theater has a seating capacity of 900 and charges $2.50 for children, $4 for students, and $5.50 for adults. At a certain screening with full attendance, there were half as many adults as children and students combined. The total money brought in was $3825. How many children, students, and adults attended the show?
Answer:
We have 3 variables to solve for. We will start by writing two equations in three variables but, with the given information, will eventually have those equations written in 2 variables. The strategy is to set up equations from the given information and solve the equations simultaneously. Let's assign variables...
c= #children total
s= #students total
a= #adults total
c+s+a=900.............Eq1, total attendance, given
4c+6s+8a=5600....Eq2, total receipts, given
a=(1/2)(c+s)
=(1/2)c+(1/2)s.....Eq3, #adults total, given
Let's substitute Eq3 into each Eqs1,2 to get two equations in two variables...
c+s+(½c+½s)=900.........Eq1, substitute for"s"
1.5c+1.5s=900.......combine like terms
3c+3s=1800.....Eq4, multiple equation
by 2 to eliminate fraction
4c+6s+8(½c+½s)=5600...Eq2, substitute for "s"
4c+6s+(4c+4s)=5600...distribute 8
8c+10s=5600...Eq5, combine like terms
Let's solve newly arrived at Eq4,5 simultaneuously...
3c+3s=1800......Eq4
8c+10s=5600......Eq5
-24c-24s=-14400...Eq4 multiplied by (-8)
24c+30s=16800...Eq5 multiplied by 3
------------------------
6s=2400.....add all terms vertically
∴ s=400.......divide both sides by 6
Substitute value back into Eq4, solve for "c"...
3c+3s=1800...Eq4
3c+3(400)=1800...substitute for"s"
3c+1200=1800
3c=600.....subtract 1200, both sides
∴ c=200....divide both sides by 3
Substitute values back into Eq3, solve for "a"...
a=(1/2)(c+s).............Eq3
=(1/2)(200+400)...substitute for "c,s"
=(1/2)(600)
∴ a=300.....................simplify
We now have our three variables solved. Let's substitute those values back into original Eqs1,2 to check against the problem requirements...
c+s+a=900.......Eq1
200+400+300=900....substitute for "c,s,a"
900=900......true, √check
4c+6s+8a=5600.....Eq2
4(200)+6(400)+8(300)=5600...substitute for
"c,s,a"
800+2400+2400=5600...simplify
5600=5600......true, √check
So our calculated values are correct. Always check your solutions and work!
In summary, we have...
200 children, 400 students, and 300 adults in attendance at the theater for the screening.
Step-by-step explanation:
There were total 150 childrens, 450 students and 300 adults.
What is Equation Modelling?Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.
Given is a theater that has a seating capacity of 900 and charges $2.50 for children, $4 for students, and $5.50 for adults. At a certain screening with full attendance, there were half as many adults as children and students combined. The total money brought in was $3825.
Assume that there were [x] childrens, [y] students and [z] adults. Then, we can write the equations as -
x + y + (1/2)(x + y) = 900
2.5x + 4y + (5.5)(1/2)(x + y) = 3825
Plot the graph. We will get x = 150 and y = 450.
Then -
z = (1/2)(150 + 450) = (1/2)(600) = 300
Therefore, there were total 150 childrens, 450 students and 300 adults.
To solve more questions on equation modelling, visit the link below-
brainly.com/question/6593383
#SPJ2