Answers: First Quadrant and Fourth Quadrant
======================================================
Explanation:
Let
w = c + diz = e - fibe the two complex numbers.
Multiply them out to see what we get
[tex]w*z = (c+di)(e-fi)\\\\w*z = c(e-fi)+di(e-fi)\\\\w*z = ce-cf*i+de*i-df*i^2\\\\w*z = ce-cf*i+de*i-df*(-1)\\\\w*z = ce-cf*i+de*i+df\\\\w*z = (ce+df)+(-cf+de)*i\\\\[/tex]
The result we get is in the form a+bi where
a = ce+df = real partb = -cf+de = imaginary partRecall that any complex number of the form a+bi can be plotted on the xy plane with 'a' being treated as the x coordinate and b as the y coordinate. In short, the location of a+bi is at the point (a,b)
With c,d,e,f being positive, this means ce and df are positive, and a = ce+df is also positive.
This places the result of wz in either the first or fourth quadrants (the northeast or southeast quadrants respectively), due to the positive x coordinate.
We don't have enough info to determine whether b = -cf+de is positive or not. So that's why we can't nail down the precise quadrant of wz
If b > 0, then wz is in quadrant 1
If b < 0, then wz is in quadrant 4
Determine the measures of A, B, C and D.
Answer:
[tex]\angle A = 32 \deg[/tex]
[tex]\angle B = 105 \deg[/tex]
[tex]\angle C = 94 \deg[/tex]
[tex]\angle D = 138 \deg[/tex]
If 2x + 4 = 10. What is the value of x
Answer:
x=3
Step-by-step explanation:
You subtract the 4 from +4 d +10 and then you left with 2x=6
Then you divide the numbers both by 2 so you are left with x=3.
Have a nice day!!!!!!!!!!
Answer:
x=3
Step-by-step explanation:
2x + 4 - 4 = 10 - 4
2x ÷ 2 = 6 ÷ 2
x = 3
(8x10^-3)+(2 x 10^-4)
Answer:
0.0082
Step-by-step explanation:
Randy has 36 tiles.
How should he arrange them so that he has the smallest perimeter?
A.
4 by 9 rectangle
B.
3 by 12 rectangle
C.
1 by 36 rectangle
D.
6 by 6 rectangle
Answer:
Smallest perimeter setup is (6 by 6 rectangle)
Step-by-step explanation:
Given:
Total number of tile = 36
Find:
Smallest perimeter setup
Computation:
Perimeter = 2(a + b)
So,
Perimeter if (4 by 9 rectangle )
Perimeter if (4 by 9 rectangle ) = 2[4+9]
Perimeter if (4 by 9 rectangle ) = 2[13]
Perimeter if (4 by 9 rectangle ) = 26
Perimeter if (3 by 12 rectangle )
Perimeter if (3 by 12 rectangle ) = 2[3+12]
Perimeter if (3 by 12 rectangle ) = 2[15]
Perimeter if (3 by 12 rectangle ) = 30
Perimeter if (1 by 36 rectangle )
Perimeter if (1 by 36 rectangle ) = 2[1+36]
Perimeter if (1 by 36 rectangle ) = 2[37]
Perimeter if (1 by 36 rectangle ) = 74
Perimeter if (6 by 6 rectangle )
Perimeter if (6 by 6 rectangle ) = 2[6+6]
Perimeter if (6 by 6 rectangle ) = 2[12]
Perimeter if (6 by 6 rectangle ) = 24
So,
Smallest perimeter setup is (6 by 6 rectangle)
hey! i’ll give brainliest please help
Answer:
insects adapted for stronger flight may survive in greater numbers.
There are 60 players on a football team. 2/3 of the players are offensive team players 1/12 of the players are special team players The reaming players are defensive players. Each team member is either an offensive, defensive, or special team player. The number of defensive players is -
Answer:
15
Step-by-step explanation:
2/3 x 60 = 40
1/12 x 60 = 5
60 - 40 - 5 = 15
A square pyramid with a height of 7 inches has a volume of 47.25 cubic inches. Find the side length of the square base.
The side length is inches.
Answer:
4.5 inches
Step-by-step explanation:
volume= 1/3 (base area) × height
47.25= 1/3 ( base area) × 7
20.25 = base area
now since the base is a square we can evaluate base area = length²
20.25= length²
length = 4.5 inches
Find the indicated term in the sequence.
Please show steps too! Thank you.
Answer:
Value of An if n is 17 = -834
Step-by-step explanation:
Given:
A100 = 245
d = 13
n = 17
Find:
Value of An if n = 17
Computation:
An = a + (n-1)d
A100 = a + (100-1)13
245 = a + (99)17
245 = a + 1,287
a = 245 - 1,287
a = -1,042
So,
Value of An if n = 17
An = a + (n-1)d
A17 = -1,042 + (17-1)(13)
A17 = -1,042 + (16)(13)
A17 = -1,042 + 208
A17 = -834
Value of An if n is 17 = -834
Mrs.Taylor has cards labeled with rational numbers. *Three cards are labeled -6.35 *One card is labeled -7.53 *Two cards are labeled 8.31 What are the average numbers on the cards? *please help me on this!!*
Answer:
about 1.18 is the closest is what i got
Step-by-step explanation:
Nine times a number, subtracted from the square of the number, is 36. Find the two numbers.
Answer:
- 3 and 12
Step-by-step explanation:
let n be the number , then
n² - 9n = 36 ( subtract 36 from both sides )
n² - 9n - 36 = 0
Consider the factors of the constant term (- 36) which sum to give the coefficient of the n- term (- 9)
The factors are - 12 and + 3 , since
- 12 × 3 = - 36 and - 12 + 3 = - 9 , then
(n - 12)(n + 3) = 0
Equate each factor to zero and solve for n
n - 12 = 0 ⇒ n = 12
n + 3 = 0 ⇒ n = - 3
The 2 numbers are - 3 and 12
You spin the spinner once.
What is P(3)?
Answer:
You spin the spinner once. What is P(3)? Answer : 8%.
Is the purple triangle a right triangle? Explain.
Answer:
yes it has a right angle
Step-by-step explanation:
hey! please help i’ll give brainliest
Answer:
Heyo! the answer is A since their implying it's important :)
Morgan invested $1,200 in an account that pays 6% annual simple interest. Morgan will not make any additional deposits or withdrawals. How much interest will Morgan earn on her investment at the end of 7 years?
Answer:
Step-by-step explanation:
Simple interest per year = $17,500 (0.0825) = $1,443.75 Simple interest = $8,662.50 Joseph Harris is considering an investment that pays 6.5 percent annually
What is the greatest common factor of 50, 40, and 20?
Answer:
10
hope this helps
have a good day :)
Step-by-step explanation:
Answer:
The gcf is 10
Step-by-step explanation:
cos 0 = 12/13. Find sin 0.
A. 5/12
B. 12/5
C. 13/12
D. 5/13
From the question given above, the following data were obtained:
Cos θ = 12/13
Sine θ =?
Next, we shall determine the opposite. This can be obtained as follow:
[tex]Cos \theta = \frac{Adjacent}{Hypothenus}\\\\Cos \theta = \frac{12}{13}[/tex]
Adjacent = 12
Hypothenus = 13
Opposite =?Hypothenus² = Opposite² + Adjacent²
13² = Opposite² + 12²
169 = Opposite² + 144
Collect like terms
169 – 144 = Opposite²
25 = Opposite²
Take the square root of both side
Opposite = √25
Opposite = 5Finally, we shall determine the Sine θ. This can be obtained as follow:
Opposite = 5
Hypothenus = 13
Sine θ =.?[tex]Sine\theta = \frac{Opposite}{Hypothenus}\\\\Sine\theta = \frac{5}{13}[/tex]
Therefore, the value of Sine θ is 5/13
Learn more: https://brainly.com/question/23699928
Answer:
D. 5/13
Step-by-step explanation:
if a right triangle has legs that are 7 and 24 what is the length of the hypotenuse
Answer:
25
HOPE THIS HELPS
- Todo ❤️
Step-by-step explanation:
7^2=49
24^2=576
576+49=625
Sqrt 625=25
What is 6.27 in expanded form?
Answer:
6+0.2+0.07
hope this helps
have a good day :)
Step-by-step explanation:
The area of a triangle is 36 4 5 units squared and the height of the triangle is 9 1 5 units. What is the length of the triangle's base?
Answer:
I think it should be somewhere around 3528.3
Step-by-step explanation:
this is because 3645 squared minus 915 squared is 12448800 and the square root of that is 3528.3 I could be wrong though but just trying to help
Which symbol correctly compares the two angle measures?
radians
60°
A. =
B. <
C. >
Answer:
Is B
Step-by-step explanation:
Help me with the question
Answer:
Step-by-step explanation:
Each of 2 boxes of markers held 6 markers. Each of 3 packs of
rulers held 4 rulers.
How many markers and rulers were there altogether?
A car travels a distance of 350 km in a time of 5 hours.
What is the car's average speed?
Answer:
answer is 70 km/h
OR,
19.44 m/s
Step-by-step explanation:
If the weight of a package is multiplied by 3/7 the result is 42 pounds. Find the weight of the package.
Answer:
B
Step-by-step explanation:
x*3/7=42
divide 42 by 3/7: 42*7/3=98
x=98
Answer:
B) 98
Step-by-step explanation:
3/7 = 42/x
3x = 294
x = 98
5f - 2g + 3f - 4 - g
Answer:
8f-3g-4
Step-by-step explanation:
hope this helps U0U
Evaluate: f(2) =
Helpppp
Answer:
32
Step-by-step explanation:
which two decimals have the same value as 7/10
Answer:
B and C
Step-by-step explanation:
they're the same butthe other one has 0 at the end which doesn't really change anything from .7
If your class received a new student today, describe how you would teach the new student to perform the 90 degrees clockwise rotation of the blue preimage to get the red image.
PLEASE PLS HELP THANK YOU
x = ___ cm
Answer:
x = 7
Step-by-step explanation:
5/(40+5) = 3/(2x+10+3)
1/9 = 3/(2x+13)
2x+13 = 3×9
2x = 27 - 13
x = 14/2
x = 7
Answer:
Step-by-step explanation:
Since they are directly proportional:
5cm -> 3cm
40cm -> y
y = 120/5
= 24cm
2x+10 = 24
2x = 14
x = 7cm
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The function y=15,000(1.10)xmodels the cost of annual tuition at a local college, x years after 2000. How much will tuition be in 2025?
Answer: [tex]162,520.588[/tex]
Step-by-step explanation:
Given
The function [tex]y=15,000(1.1)^x[/tex] models the cost of tuition fees after year 2000
In year 2025 that is 25 years after 2000, fees can be given as
[tex]\Rightarrow y=15,000(1.1)^{25}\\\Rightarrow y=15,000\times 10.834\\\Rightarrow y=162,520.588[/tex]
Thus, the fees in year 2025 is [tex]162,520.588[/tex].