In the graph z1 and z2 are complex numbers represented as vectors from the origin. What is z2-z1?
Answers
Finding the complex numbers and subtracting them, it is found that z2 - z1 = (0, -4).
What are complex numbers?They are in the format:
z = a + bi.
In which:
a is the real part.b is the imginary part.In a graph, the real part is the horizontal axis, while the imaginary part is the vertical axis. Hence, the numbers are given by:
z1 = (2,5).z2 = (2,1).What is the subtraction?To find the result of the subtraction, we subtract each part, hence:
z2 - z1 = (2,1) - (2,5) = (2 - 2, 1 - 5) = (0, -4).
More can be learned about complex numbers at https://brainly.com/question/25572463
Related Questions
Which of these is the statement of the zero product rule?
A. If a • b = 0, then either a = 0 or b = 0, or both.
B. If a • b = 0, then a = 0 and b = 0.
C. If a • b = 0, then a = 0.
D. If a • b = 0, then either a = 0 or b = 0, but not both.
Answers
Complete part (a) and part (b) given the following system of equations x-y=0 2x + 3y = -5 Solve this system graphically.
Answers
Answer:
(-1, -1)
Step-by-step explanation:
x - y = 0 ------> x = y
2x + 3y = -5
2(y) + 3y = -5
5y = -5
y = -1
x - (-1) = 0
x = -1
The solution to this system is (-1, -1). To solve graphically, plot both functions and you will see that they intersect at (-1, -1).
I hope this helps!
1 Whatis the value ofthe expression y 1/2 +z)+6 ( 2 + when y= 2 and 7 = 3 ? 4
.A) 57/8
.B) 19/2
.C) 17/2
.D) 22/3
30 BRAINLY points plus user!!!
Answers
2(1/2+3/4)+6=
17/2 or 8.5
The answer is C
Answer:
Option C
Step-by-step explanation:
Given:
[tex]y = 2[/tex]
[tex]z = \dfrac{3}{4}[/tex]
Substitute the values into the expression:
⇒ y(1/2 + z) + 6
⇒ 2(1/2 + 3/4) + 6
Make common denominators in the parenthesis:
⇒ 2(1/2 + 3/4) + 6
⇒ 2(2/4 + 3/4) + 6
Simplifying the expression:
⇒ 2(5/4) + 6
⇒ 2 × 5/4 + 6
**Keep in mind that multiplication first, then addtion
⇒ 10/4 + 6
Make common denominators:
⇒ 10/4 + 24/4
⇒ 34/4
Simplify the fraction:
⇒ 17/2 (Option C)
13) You pick a card and pick a marble. How many possible outcomes are there?
3
4 | 5
67
A) 5
OB) 2.
OC) 10
OD 6
Answers
Answer:
5+2. =10. 4. You pick a card, flip a coin, and spin the spinner. How many outcomes are possible? Zx2x3 =12. Op. 2*2*3=12
Step-by-step explanation:
5+2. =10. 4. You pick a card, flip a coin, and spin the spinner. How many outcomes are possible? Zx2x3 =12. Op. 2*2*3=12
Solve for x: 3 (square root2-2x)+1=13
Answers
Answer:
x=7
Step-by-step explanation:
3√(2-2x) + 1 = 13
subtract 1 from both sides
3√(2-2x) = 12
Divide 3 from both sides
√2-2x= 4
square both sides
2-2x = 16
subtract 2 from both sides
2x= 14
x=7
HELP I GOT 2 mins please
Answers
Answer:
x=27 degrees
EAF= 27
Step-by-step explanation:
sorry if this isnt right i tried my best
Given the following exponential function, identify whether the change represents growth or decay, and determine the percentage rate of increase or decrease.
y=8600(0.11)^x
Answers
The function represents a decay of 88.97% per unit increase in x.
What is percentage?
Percentage is a way of expressing a number or proportion as a fraction of 100. It is represented by the symbol "%".
The exponential function can be written in the form of y = [tex]ab^{x}[/tex], where:
a is the initial value or the value of the function when x = 0
b is the base or the factor by which the function changes for each unit increase in x
Comparing this form to the given function, we can see that:
a = 8600
b = 0.11
To determine whether the function represents growth or decay, we need to consider the value of the base (b). If the base is greater than 1, then the function represents growth, and if the base is between 0 and 1, then the function represents decay.
In this case, the base (0.11) is between 0 and 1, so the function represents decay.
To determine the percentage rate of decrease, we can use the formula:
Percentage change = (new value - old value) / old value * 100%
Since the function represents decay, the old value is the initial value (a = 8600) and the new value is the value of the function when x = 1:
y(1) = 8600(0.11)¹ = 946
Plugging in these values, we get:
Percentage change = (946 - 8600) / 8600 * 100% = -88.97%
Therefore, the function represents a decay of 88.97% per unit increase in x.
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$600 invested at 6% compounded annually for six years
Answers
Answer:
The final balance is $851.11.
The total compound interest is $251.11.
Step-by-step explanation:
Find the area of the triangle.
16 ft
62 ft
Not drawn to scale.
A. 496 ft2
B. 248 ft?
C. 78 ft2
D. 37 ft2
Answers
Answer:
A. 496 ft2
Step-by-step explanation:
area of a triangle is
1/2 times base times height
1/2 times 16 times 62 =
496
Find the value of x.
52°
128°
38°
xº
x = [21°
Answers
Step-by-step explanation:
x = 360 - 128 + 52 + 38
x = 360 - 218
x = 142
I SUCK AT MATH PLS HELP
WORTH 1 POINT
GIVING 10
Answers
Answer:
34 degrees
Step-by-step explanation:
Assuming that ADJ is a right angle, we can add 4x and 3x-8 and set equal to 90 degrees to simply to get get x.
7x-8=90
Add 8
7x = 98
x= 14
Now that we know x, we can plug in the value to find angle CDJ.
3x-8
3(14)-8
34 degrees
I am a polygon that has two pairs of opposite sides that are parallel what am I
Answers
A Parallelogram because it is a quadrilateral with 2 pairs of parallel sides!
a pizza with a diameter of 15 inches is cut into 12 equal slices. Carson eats 5 slices of pizza, representing an area of:
Answers
Step-by-step explanation:
pizza = circle
the area of a circle is
pi×r²
r = radius (half of diameter), in our case 15/2 = 7.5 in.
the total area of the whole pizza (circle) is
pi×7.5² = 56.25×pi = 176.7145868... in²
it is cut into 12 slices. Carson eats 5 of these 12 slices.
that means he eats 5/12 of the whole area :
176.7145868... × 5/12 = 73.63107782... in²
Write (b^3)^2 without exponents
Answers
Answer:
(b)(b)(b)(b)(b)(b)
Step-by-step explanation:
[tex](b^3)^2=b^6[/tex]
(b)(b)(b)(b)(b)(b)
Answer:
Step-by-step explanation:
(b^3)^2
= b^(3*2)
= b^6
= b*b*b*b*b*b.
3 – 9x = –6 – 8x
What is X
Answers
the answer for this question is x = 9
x=9 ig
but how did I get -3?
Simplify the expression. –(3)–4
a)12
b)[tex]-\frac{1}{81}[/tex]
c)81
d)[tex]\frac{1}{81}[/tex]
Answers
Answer:
Answer is {C}
Step-by-step explanation:
At noon, ship A is 170 km west of ship B. Ship A is sailing east at 40 km/h and ship B is sailing north at 15 km/h. How fast (in km/hr) is the distance between the ships changing at 4:00 p.m.? (Round your answer to three decimal places.)
Answers
Distance is the product of speed and time. The rate at which the distance between the ships changes at 4:00 p.m is 27.293 km/h.
What is the distance?Distance is the product of speed and time. It is given by the function,
[tex]\rm Distance = Time \times speed[/tex]
Given at noon the distance between two ships is 170 km. Furter ship A is moving towards the east at a speed of 40 km/h, therefore, the distance covered by Ship A in 4 hours will be,
[tex]\rm \text{Distance covered by Ship A in 4 hours} = 4 \times 40 = 160\ km[/tex]
The distance covered by Ship B in 4 hours will be,
[tex]\rm \text{Distance covered by Ship B in 4 hours} = 4 \times 15= 60\ km[/tex]
At 4 pm the distance between the two ships is the hypotenuse of the red triangle as shown below,
[tex]\rm Hypotenuse = \sqrt{10^2 + 60^2} = \sqrt{100+3600 }= 60.827\ km[/tex]
The rate of change in the distance between the two ships can be written as,
[tex]\rm \text{Rate of change of distance} = \dfrac{170-60.827}{4} = 27.293\ km/h[/tex]
Hence, the rate at which the distance between the ships changes at 4:00 p.m is 27.293 km/h.
Learn more about Distance:
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Business mathematics.
Mr Kula opens a shopfront where he will lend money to anyone ( without security) if they are willing to pay his interest rate of 2% per week compounded daily. The first customer borrows $5000 to buy a used car, but is unable to pay Mr Kula back for 12 weeks. How much will the customer have to pay back at this time?
Answers
Answer:
$6200
Step-by-step explanation:
2% of $5000 = $100
So that's a hundred dollars per week
12 weeks x $100 = $1200
$5000 (The original amount the first customer borrowed)
+ $1200 (The interest rate)
= $6200
(P.S. Please give me a brainliest if you can)
y = x^2 + 8x + 10
Vertex:
Axis of Symmetry:
Y-intercept:
Answers
Vertex: (-4, -6)
Axis of symmetry: x= -4
Y-intercept: y=10
Have a great day
The vertex of the function is (-4, -6), the axis of symmetry is x= -4 and the y-intercept is (0, 10).
What is the function?Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.
The given function is y=x²+8x+10.
Rewrite in vertex form and use this form to find the vertex (h, k).
(-4, -6)
The axis of symmetry is x= -4
To find the x-intercept, substitute in 0 for y and solve for x. To find the y-intercept, substitute in 0 for x and solve for y.
x-intercept(s): (-4+√6, 0), (-4-√6, 0)
y-intercept(s): (0, 10)
Therefore, the y-intercept is (0, 10).
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PLEASE HELP!!!!! I"LL MARK AS BRAINLIEST!!!Tom conducted a drawing competition at school. He bought 5 boxes of colored pencils and spent $5.25 on drawing paper. However, more contestants entered than he expected, and he had to buy 2 more boxes of colored pencils. The total cost of the paper and pencils was $82.95. Identify the equation and solution that would help to find the cost of each box of pencils.
A. 5x + 2x + 5.25 = 11.10; $82.95
B. 5x − 2x + 5.25 = 82.95; $11.10
C. 5x − 2x + 5.25 = 82.95; $1.11
D. 5x + 2x + 5.25 = 82.95; $11.10
Answers
IM STUCK CAN SOMEONE HELP
An international company has 22,300 employees in one country. If this represents 18.3% of the company’s employees, how many employees does it have in total?
Round to nearest whole number
Answers
22300*100= 18.3 * X
2,230,000 = 18.3 * X
2,230,000/18.3= X
121,857.923 = X
X= 121,858
5>x/5
Show all work in steps
Answers
Answer:
[tex]\boxed{\sf{x < 25}}[/tex]Step-by-step explanation:
To find the value of x, isolate it on one side of the equation.
5>x/5First, you have to switch sides.
→ x/5<5
Then, you multiply by 5 from both sides.
→ 5x/5<5*5
Solve.
Multiply the numbers from left to right.
→ 5*5=25
→ x<25
Therefore, the solution is x<25, which is our answer.I hope this helps you! Let me know if my answer is wrong or not.
Answer:
25 > x
Step-by-step explanation:
[tex]5 > \frac{x}{5}[/tex]
To find the value of x, you have to multiply both sides by 5.
[tex]5*5 > \frac{x}{5}* 5[/tex]
[tex]25 > \frac{5x}{5}[/tex]
[tex]25 > x[/tex]
You spin the spinner once.
234567
What is P(6)?
Write your answer as a fraction
or whole number.
Helps pls i did 120 questions
Answers
Answer:
1/6
Step-by-step explanation:
There are 6 possible numbers for the spinner to land on, and only 1 of those cases will be where the spinner lands on 6.
Therefore, the answer is 1/6
Cole is buying a pair of sneakers. The expression shown represents the sales tax on the price of the sneakers, p.
0.045p
Write an expression in terms of p to represent the total amount Cole spends on the pair of sneakers, including tax.
Answers
By direct addition, we will see that the expression is:
T = 1.045*P.
What expression represents the total price of the sneakers?
We know that the price of the sneakers is P. We also know that the expression which represents the taxes of the sneakers is 0.045*P.
Now, we can assume that the total price of the sneakers will be the price plus the correspondent tax, then we can write:
T = P + 0.045*P = (1 + 0.045)*P = 1.045*P
This is the expression that represents the total amount Cole spends on the pair of sneakers.
If you want to learn more about addition, you can read:
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1) Which fractions are equivalent to 6/12? Choose ALL the correct answers.
12
Answers
Answer:
Infinite
Step-by-step explanation:
Most common examples are 1/2 3/6 7/14 4/8 2/4 5/10 8/16 50/100
HELP QUICK PLEASE!!!
Answers
Answer:
19
please make this answer brainliest If I helped you!
Answer:
c=19
Step-by-step explanation:
110-91=19
129-110=19
148-129=19
4x19 = 76 (91-76=15)
76+15 =91
5x19= 95 ( 110-95=15)
95+15= 110
6x19 = 114 (129-114 =15)
114+15=129
7x19=133 ( 148-133 =15)
133+15 = 148
Three boxes are stacked one on top of the other. One box is 6 feet 6 inches tall, one is 4 feet 11 inches tall, and one is 5 feet 8 inches tall. How high is the stack? Write your answer in feet and inches. Use a number less than 12 for inches.
Answers
Heyo xD! Its easy since we have been asked to find out the total height of the stack which will be equal to the sum of height of each box. Thus, we can easily add them up and get our answer.
Given :-
Box 1 = 6 ft. 6 inches Box 2 = 4 ft. 11 inchesBox 3 = 5 ft. 8 inchesTo Find :-
The height of the stackSolution :-
Height of the stack,
=> 6 ft. 6 inches + 4 ft. 11 inches + 5 ft. 8 inches
=> 15 ft. 15 inches
And we know that 12 inches = 1 ft.
Thus, 15 inches = 1 ft. 3 inches
Thus,
=> 15ft. + 1 ft. 3 inches
=> 16 ft. 3 inches
Thus, the height of the stack is 16 ft. 3 inches.
Answer:
17 feet and 1 inch
Step-by-step explanation:
6 feet and 6 inches + 4 feet and 11 inches equals 10 feet and 17 inches.
10 feet and 17 inches + 5 feet and 8 inches equals 15 feet and 25 inches.
When converted the answer is 17 feet and 1 inch. This is so because 25 divided by 12 equals 2 remainder 1 . 2 feet plus 15 feet equals 17 feet and the remainder is 1 which is 1 inch.
So, the answer is 17 feet and 1 inch.
I will give Brainliest! :<
This meal costs $75.00.
Fatima used a 20% off coupon and then tax was added.
The total after the coupon and tax was $75.00.
What was the tax rate?
Submit and EXPLAIN, please!
Answers
Answer:
25 %
Step-by-step explanation:
75 - 20% = 60
60 + 60 (x) = 75 where x = tax rate
x = .25 or 25 %
Ik this cause I took the test
Directions: Type the correct answer in each box. Spell all words correctly, and use numerals instead of words for numb
For this problem any non-integer answers should be entered as fractions in simplest form using / as the fraction bar(s).
A spinner has five colored sections of different sizes. Felicia spins the arrow on the spinner and records the color of the section it
lands on in the table below.
Complete the statements based on the given table.
The experimental probability of landing on orange is__
The experimental probability of landing on___is 1/5
The experimental probability of landing on a color that is not blue is___
Answers
Answer:
1/3, Yellow, 3/4
Step-by-step explanation:
All the numbers add up to 60, so using fractions
Red is 11/60
Green is 2/60
Yellow is 12/60
Blue is 15/60
Orange is 20/60
Finding The probability of w/o blue is subtracting 15 from 60 which ends as 45/60, and simplifying that would be 3/4
20 POINTS PLS
How to tell if your data has a wide range or a small range?