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
(8x10^-3)+(2 x 10^-4)
Answer:
0.0082
Step-by-step explanation:
Evaluate: f(2) =
Helpppp
Answer:
32
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)
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
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:
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]
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 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
hey! please help i’ll give brainliest
Answer:
Heyo! the answer is A since their implying it's important :)
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
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:
What is 6.27 in expanded form?
Answer:
6+0.2+0.07
hope this helps
have a good day :)
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
Help me with the question
Answer:
Step-by-step explanation:
Is the purple triangle a right triangle? Explain.
Answer:
yes it has a right angle
Step-by-step explanation:
Which symbol correctly compares the two angle measures?
radians
60°
A. =
B. <
C. >
Answer:
Is B
Step-by-step explanation:
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.
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].
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
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
Feel free to mark it as brainliest :D
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
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
You spin the spinner once.
What is P(3)?
Answer:
You spin the spinner once. What is P(3)? Answer : 8%.
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:
hey! i’ll give brainliest please help
Answer:
insects adapted for stronger flight may survive in greater numbers.
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
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:
5f - 2g + 3f - 4 - g
Answer:
8f-3g-4
Step-by-step explanation:
hope this helps U0U
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