Answer:
Step-by-step explanation:
If Z1 = (x1, y1) and Z2 = (x2, y2) are complex numbers, then their sum is given by:
Z1 + Z2 = (x1 + x2, y1 + y2)
For example, if Z1 = (3, 4) and Z2 = (-2, 5), then their sum is:
Z1 + Z2 = (3 + (-2), 4 + 5) = (1, 9)
In general, to add two complex numbers, we add their real parts and their imaginary parts separately.
The value of [tex]z_1[/tex] + [tex]z_2[/tex] = ( [tex]x_1[/tex] + [tex]x_2[/tex] )+ i ( [tex]y_1[/tex] + [tex]y_2[/tex])
What is Complex Number?Complex Numbers. Complex numbers are those that are expressed as a+ib, where a and b are real numbers and I is a imaginary number called a "iota."
Given:
[tex]Z_1=(x_1,y_1)[/tex] and [tex]Z_2=(x_2,y_2)[/tex]
Also, we know by Complex number
[tex]z_1[/tex] = [tex]x_1[/tex] + i [tex]y_1[/tex]
and, [tex]z_2[/tex] = [tex]x_2[/tex] + i [tex]y_2[/tex]
Then, [tex]z_1[/tex] + [tex]z_2[/tex]
= ( [tex]x_1[/tex] + i [tex]y_1[/tex]) + ( [tex]x_2[/tex] + i [tex]y_2[/tex])
= ( [tex]x_1[/tex] + [tex]x_2[/tex] )+ i ( [tex]y_1[/tex] + [tex]y_2[/tex])
Hence, the addition gives ( [tex]x_1[/tex] + [tex]x_2[/tex] )+ i ( [tex]y_1[/tex] + [tex]y_2[/tex]).
Learn more about Complex Number here:
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help me plzz and thank u sm
Answer:
The equation of the axis of symmetry is x = 7
Step-by-step explanation:
Mathematically, we have the equation of the axis of symmetry as;
x = -b/2a
where a is the coefficient of x^2 = 1
b is the coefficient of x which is -14
So, the equation of the axis of symmetry will be;
x = -(-14)/2(1) = 14/2 = 7
So the equation of the axis of symmetry is x =7
Solve for x and show work.
Answer:
44
Step-by-step explanation:
since 88 is the whole angle and your trying to find 1 side you would divide 88 by 2 which gives u 44
Please help me, will mark brainliest
Answer:
EThir 83 or 180
Step-by-step explanation:
If 5x + 1 = 21 then x =
Answer:
X would equal 4
Step-by-step explanation:
5 x 4 is 20. And the equation was 5x + 1 = 21.
So, the answer would equal 20. Hope this helped!! :D
Answer:
x=4
Step-by-step explanation:
Start with your equation: 5x+1=21
Subtract 1 on both sides: 5x=20
Divide by 5 on both sides: x=4
Hope I helped
Can someone help me solve? Simplify each expression show work
please help me i am begging you. its one question. I WILL GIVE BRAINLIEST!!!!!
Answer:
3og -5 “times (x)” 3
Step-by-step explanation:
(3og minus 5) times 3
I don’t have time to explain but I hope this helps, I’m in a rush rn I got to do something
Please answer! Answer choices are: A, B, C
Answer:
A
Step-by-step explanation:
i wasnt paying attention in math class and now I cant do my assignment ahh
Answer:
336m^2
Step-by-step explanation:
base x height + (side1 + side2 + Height)Length
What is the volume of a rectangular prism with a length of 2.5 cm, a width of 3.1 cm and a height of 1.2 cm?
A. 7.75 cm³
B. 8.1 cm³
C. 8.3 cm³
D. 9.3 cm³
I need help on this ASAP
75cm²
Explanation:
10 times 15 is 150 and since it is a triangle you divide in half so the answer is 75. And in this case the 18 is not needed.
Answer:
75cm²
Step-by-step explanation:
The area A of a triangle is given by the formula A=12bh where b is the base and h is the height of the triangle. But in this case, there are three sides.
To find the area of a triangle with 3 sides given as 10, 15, and 18, we assume that a = 10, b = 15, and c = 18.
Then the semi-perimeter is, s = (a + b + c)/2 = (10 + 15 + 18)/2 = 21.5. We will find the area of the triangle using Heron's formula.
A = √[s(s-a)(s-b)(s-c)]
= √[8(21. 5-10)(21.5 -15)(21. 5-18)]
= √[21.5 × 11.5 × 6.5 × 3.5]
= √(5625)
≈ 7.5
someone help pls, :((((
9k^2+11k-36k-44 ????
Answer:
[tex]9k^{2} - 25k - 44[/tex]
Step-by-step explanation:
0.4209" to the nearest common fraction
Answer:
4209/10000
Step-by-step explanation:
42.09%=4209/10000
Work out the area of this circle.
Give your answer in terms of it and state its units.
14 cm
Answer:
area = 153.94
Step-by-step explanation:
Diameter = 14. Half of 14 is 7, so radius = 7.
Formula for the area of a circle = π * r^2, so π * 7^2 = 153.93804
Help plz ASAP for 20pts
Answer:
Not sure if this is correct but this is what I found.
area of sector=74.84
radius = 8
angle of sector=?
74.84=1/2×8²×angle of sector
74.84=32 × angle of sector
74.84/32= angle of sector
2.33875=angle of sector
Step-by-step explanation:
Sorry if it is incorrect.
which property is BEST to use when combining 3/5 + 1/4 + 2/5? A) distributive property B) identity property of addition C) additive inverse property D) commutative property of addition
Answer:
D Community property of addition
Step-by-step explanation:
Answer:
d
Step-by-step explanation:
The area of the square is
........ square centimeters.
9.5 cm
9.5 cm
11. A rate written as 80 miles per hour is an example of a
(2 points)
A.Ratio
B.Equivalent Ratio
C.Unit Rate
A company that makes hard candy have a standard bag of hard candy with 150 pieces. The hard candy has three distinct colors red, white and orange and equal proportion of each candy is present in the standard bag. The manager wants to know whether the bags produced last Monday were similar to the standard bag. To test this, they plan to choose a random bag from the batch and compare it with the standard bag. You will have to answer questions below to assist the manager in comparing the two bags.
1. What is the alternate hypothesis for this exercise? (Select the most appropriate response)
A. The bag of candy produced last Monday is like the standard bag.
B. The bag of candy produced last Monday is different from the standard bag.
C. The two bags cannot be compared.
D. We need more bags to complete the comparison.
2. What is the null hypothesis for this exercise? (Select the most appropriate response)
A. The bag of candy produced last Monday are like the standard bag.
B. The bag of candy produced last Monday is different from the standard bag.
C. The two bags cannot be compared.
D. We need more bags to complete the comparison.
3. After performing the necessary calculations, the chi-square value of the test is 6.7. The cut-off/critical value of chi-square test is 5.991 (for 5% chance).
What is your conclusion about the bags based on this result? (Select the most appropriate response)
A. The bag of candy produced last Monday is like the standard bag.
B. The bag of candy produced last Monday is different from the standard bag.
C. The two bags cannot be compared.
D. We need more bags to complete the comparison.
Answer:
1. B. The bag of candy produced last Monday is different from the standard bag.
2. A. The bag of candy produced last Monday are like the standard bag.
3. B. The bag of candy produced last Monday is different from the standard bag.
Step-by-step explanation:
Given - A company that makes hard candy have a standard bag of hard candy with 150 pieces. The hard candy has three distinct colors red, white and orange and equal proportion of each candy is present in the standard bag. The manager wants to know whether the bags produced last Monday were similar to the standard bag. To test this, they plan to choose a random bag from the batch and compare it with the standard bag. You will have to answer questions below to assist the manager in comparing the two bags.
To find - 1. What is the alternate hypothesis for this exercise?
2. What is the null hypothesis for this exercise?
3. After performing the necessary calculations, the chi-square value of the test is 6.7. The cut-off/critical value of chi-square test is 5.991 (for 5% chance). What is your conclusion about the bags based on this result?
Proof -
1.
The alternate hypothesis is - B. The bag of candy produced last Monday is different from the standard bag.
2.
The null hypothesis is - A. The bag of candy produced last Monday are like the standard bag.
3.
The conclusion is - B. The bag of candy produced last Monday is different from the standard bag.
Convert.
32 ft =
yd
ft Helpp
Answer:
10.667 yards
Step-by-step explanation:
the surface area 5cm x 14cm x 6cm
I don’t know if this is correct !!!!!!! Please answer correctly !!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!
Answer:
yes i think
Step-by-step explanation:
Kim bought four bottles of water and 2 candy bars at a snack shack. Steve bought one bottle of water and 7 candy bars from the same snack shack. A bottle of water cost $1.25 and all candy bars are the same price. If Kim and Steve spent the same amount of money, how much does one candy bar cost?
$0.70
$0.75
$1.25
$1.33
Answer:A
Step-by-step explanation:
1 bottle is 1.50
4*1.50=5
5+1.25= the total
5divided by 7=0.70
Double check your work I’m not sure if I’m right!
What is the difference between 2386 and 7000 check your answer using inverse operations
Answer:
7,000 - 2,386 = 4,614
please help me solve for x and find missing side lengths and angle measures,,
Answer: 90
Step-by-step explanatio
Answer:
the angle measure for angles T and V would be 127 because they are on opposite locations from each other. the angles S and U would 53 because T and U are coplemantery angles (180 degrees) so you subtract. 180-127 to get 53. To find x, on angle S, we simply subtract 1 from 53 (53-1) and divide the answer by 2. To find the lengths of the sides, put them next to each other and separet
them by an equal sign. subtract 3y from both sides of the equation and add 5 to both sides of the equation to get 3y=12. then divide 12 by 3 to get 4 so y=4. Then, simply replace the y with a 4 and solve the equations of the sides.
How many words can be formed from the letters of the word 'ENGLISH' ? How many these do not begin with E? How many of these begin with E and do not end with H?
Total Number of words made out of English = 93
Solve for x
3x + 9
x=
33
30
27
Answer:
Please can you complete the question
A set of instructions says to subtract 5 from a number n and then double that result, calling the final result p. Which
Function rule represents this set of instructions?
A p = 2(n-5)
B. p = 2n-5
C. n = 2(p-5)
D. n = 2p - 5
Answer:
it either A or B im not sure which one
Step-by-step explanation:
Thomas is opening a savings account. Which integer represents his possible balance after making a deposit
A -10
B-5
C 0
D 10
i need help asap PLEaSSSSSSSSAE
Answer:
c
Step-by-step explanation: