Use what you've just learned to answer these questions The set of all complex numbers with a given modulus (such as 5) always has the shape of a The modulus represents the of that shape
Answers
Answer:
circle
radius
infinite
Step-by-step explanation:
have a wonderful day <3
If z is the complex number then IzI = 5 represents the equation of the circle.
What is a circle?A circle is a closed, two-dimensional object where every point in the plane is equally spaced from a central point. The line of reflection symmetry is formed by all lines that traverse the circle.
And the general formula of the circle,
(x – h)²+ (y - k)² = r²,
where (h, k) is the center and r is the radius of the circle.
Given:
The equation of the circle.
IzI = 5.
The set of all complex numbers with a given modulus (such as 5) always has the shape of a circle.
And the modulus represents the radius of the circle.
Therefore, the modulus represents the radius of the circle.
To learn more about the circle;
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Related Questions
HELP QUICK PLZ! NO SPAM.
XYZ has vertices X(15,−8), Y(13, 21), and Z(−17, 17). Which of the following represents the translation of △XYZ along vector <−6, 5> and its reflection across the x-axis?
Answers
Answer:
X (15, −8) → X ′(9, −3) → X ″(9, 3);
Y (13, 21) → Y ′(7, 26) → Y ″(7, −26);
Z (−17, 17) → Z ′(−23, 22) → Z ″(−23, −22)
Step-by-step explanation:
Use the translation vector <−6, 5> to determine the rule for translation of the coordinates: (x, y)→ (x+(−6),y + 5).
Apply the rule to translate vertices X(15 ,−8), Y(13, 21) , and Z(−17, 17) .
X (15,−8) → (15 + (−6),−8 + 5) → X'(9, −3).
Y (13, 21) → (13+ (−6), 21 + 5) → Y' (7, 26).
Z (−17, 17) → (−17 + (−6), 17 + 5) → Z' (−23, 22).
To apply the reflection across x-axis use the rule for reflection: (x, y) → (x, −y).
Apply the reflection rule to the vertices of △X'Y'Z'.
X' (9, −3) → X'' (9, 3).
Y' (7, 26)→Y''(7, −26).
Z' (−23, 22) → Z'' (−23, −22).
Therefore,
X (15 ,−8) → X' (9, −3) → X'' (9, 3)
Y (13, 21) → Y' (7, 26) → Y'' (7, −26)
Z (−17, 17) → Z' (−23, 22) → Z'' (−23, −22)
represents the translation of △XYZ along vector <−6, 5> and its reflection across the x-axis.
Name: Carl Seelig, single, 3 exemptions
Commission: 37.5%
Total Sales: $635.00
Wage for Week: $
FICA Tax (7.05%): $
Federal Tax (from Table): $
State Income Tax (at 1.5%): $
City Income Tax (3.2%): $
Total Tax: $
Paycheck after Taxes: $
Answers
Wage for Week: $ 238.13
FICA Tax (7.05%): $ 16.79
Federal Tax (from Table): $ 35.20
State Income Tax (at 1.5%): $ 3.57
City Income Tax (3.2%): $ 7.62
Total Tax: $ 63.18
Paycheck after Taxes: $ 174.95
if all the edge lengths of a rectangular prism are multiplied by a scale factor of 2, how does the volume change?
A The new volume is 2 times the old volume.
B. The new volume is 4 times the old volume.
c. The new volume is 8 times the old volume.
D. The new volume is 9 times the old volume
Answers
Answer:
The new volume is 4 times the old volume ♡
Please help, I don’t understand this.
Solve y=(x-3)^2
Please show all work!
Answers
Answer:
[tex]y=(x-3)^{2}[/tex]
Step-by-step explanation:
Direction: Opens Up
Focus: ( 3, 1/4)
Axis of symmetry: x=3
Directrix: y=-1/4
Select a few x values, and plug them into the equation to find the corresponding y values. The x values should be selected around the vertex.
Evaluate 5x when x =8
Answers
Answer:
5x
= 5(8)
= 40
I hope I've helped
The base of a triangle is 5 cm greater than the height. The area is 18 cm. Find the height and the
length of the base.
The height of the triangle is
cm.
The base of the triangle is
cm.
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Answer:
h = 4cm
b = 9cm
Step-by-step explanation:
Find the volume of this triangular prism.
25 cm
10 cm
10 cm
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Answer:
volume of the triangular prism
[tex] (\frac{1}{2} \times 10 \times 10) \times 25 \\ 1250 {cm}^{3} [/tex]
Answer:
1250cm2Step-by-step explanation:
BY: [tex]ζBenjamin[/tex]
what is the volume of the cylinder?
Answers
Answer:
[tex]\pi {r}^{2} h[/tex]
r=5
h=4
What is this pls help me 1/3 times 3/7
Answers
Answer:
2/21
Step-by-step explanation:
2/21 is the answer...........that is the fraction......
x+1/3=3/7
x=3/7-1/3
LCM=21
x=9/21-7/21
x=2/21
Five-sixths of the students in a math class passed the first test. If there are 36 students in the class, how many did not pass the test? *
Answers
Animals in an experiment are to be kept under a strict diet. Each animal should receive 60 grams of protein and 9 grams of fat. The laboratory technician is able to purchase two food mixes: Mix A has 30% protein and 6% fat; mix B
has 50% protein and 5% fat. How many grams of each mix should be used to obtain the right diet for one animal?
One animal's diet should consist of grams of Mix A
Answers
Answer:
hey there buddy
Step-by-step explanation:
6+2(3x4) divide 2 + 3-4
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Step-by-step explanation:
hope it is helpful to you
What is the solution to the system of equations?
y = x +3
X=-2
Answers
Answer: (-2, 11/6)
Step-by-step explanation:
g Around 20 years ago, the CDC learned of an outbreak of gastrointestinal illness in several Georgia elementary schools. The CDC began their investigation by examining a random sample of 452 children. Among these children, 145 out of 304 became ill after eating burritos served by their school's cafeteria. On the other hand, only 20 of the remaining 148 who did not eat burritos became ill. (a). (3 points) Using this data, give a point estimate for the true difference in the proportion of those that ate the burrito and those that did not eat the burrito who developed a gastrointestinal illness.
Answers
Answer:
The point estimate is 0.342.
Step-by-step explanation:
Among these children, 145 out of 304 became ill after eating burritos served by their school's cafeteria.
This means that:
[tex]p_B = \frac{145}{304} = 0.477[/tex]
On the other hand, only 20 of the remaining 148 who did not eat burritos became ill.
This means that:
[tex]p_{NB} = \frac{20}{148} = 0.135[/tex]
a). (3 points) Using this data, give a point estimate for the true difference in the proportion of those that ate the burrito and those that did not eat the burrito who developed a gastrointestinal illness.
The point estimate is the subtraction of the sample proportions. So
[tex]p = p_N - p_{NB} = 0.477 - 0.135 = 0.342[/tex]
The point estimate for the true difference in the proportion of those that ate the burrito and those that did not eat the burrito who developed a gastrointestinal illness is 0.342.
A student's four test scores were 88, 91, 93 and 86. What score would be needed on a fifth test to obtain a mean of 90 for all five test?
A. 90
B. 92
C. 95
D. 96
Answers
Answer:
92
Step-by-step explanation:
88 + 91 + 93 + 86 = 358
90*5 = 450
therefore the fifth test has to be 450 - 358 = 92
PLEASE help fast with attached question!! Thanks!
Answers
Answer: I thihnk it's 1x10^-2
Step-by-step explanation: This equals 0.1, and 6^-2 is equal to 0.1....the rest of the answers are either too big or too small
Can somebody please help me out please my grads are bad
Answers
Triangle B-Right
Triangle C-Obtuse
Triangle D-Acute
Find the value of 5!
O A. 3125
O B. 20
O C. 120
OD. 25
Answers
Answer:
The answer is 120
Step-by-step explanation:
5! = 120
Thus, The answer is 120
-TheUnknownScientist
The Sine Function
Choose the graph of the following function:
f(x) = -2 sin(x)
a. Graph A
b. Graph B
c. Graph C
d. Graph D
Please select the best answer from choices provided
Answers
Answer:
D. Graph D
Step-by-step explanation:
I calculated it logically
What is the interquartile range?
3
2.5
6
2
Answers
The interquartile range depicted in the box plot is 2.
What is the interquartile range?The interquartile range is the difference between the third quartile and the first quartile. The first quartile is the first line on the box. The third quartile is the third line on the box.
The interquartile range = 4.5 - 2.5 = 2
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select all the ordered pairs that satisfy the function y=8r+20
Answers
Answer:
r= 1/8 y + -5/2
Step-by-step explanation:
The surface area of a rectangular prism is increased by a factor of 16.
By what factor is the volume of the figure increased?
4
8
Оооо
32
64
Answers
Answer:
64
Step-by-step explanation:
Answer:
D 64
Step-by-step explanation:
The person above me is correct. Got it right on Edge 2021
Help pls, Yes or no
Answers
Answer:
Yes
Step-by-step explanation:
The HL theorem basically says that two triangles are congruent if their corresponding hypotenuses and one leg are equal.
Here, the hypotenuse of both triangles are each marked with two dashes meaning they're equal. Similarly, QE and ET are both equal.
Therefore we can see that they can be proved congruent by the HL Theorem.
A. You work 30 hours a week. You need to earn $234 to cover your weekly expenses. Your dog-walking job pays $8 per hour and your job at the car wash pays $7.5 an hour. Write a system of linear equations to represent the situation.
Answers
Answer:
Line all of the numbers up
Step-by-step explanation:
You have $234 to cover all of your weekly expenses (bills, food, ect.) Your dog walking job pays (gives you) $8 per hour, the car wash job pays $7.50 an hour.
Finding missing angles
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Answer:
sorry i just want to get points
Help will give branliest
Answers
Answer:
They make heart shapes! hearts look like <3
Find the reference angle! I NEED HELP ASAP PLS!
Answers
Answer:
60°
Step-by-step explanation:
360 - 300 = 60
Hope this helps!
ANSWER THIS ASAP NO FILE AT ATT!!
Answers
Answer:c
Step-by-step explanation:
Just flip it backwards which one looks the same
Plot the numbers -1.5,3/2,-3/2,-4/3 on the number line. label each point with its numeric value. true of false
please I need help
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Due soon pls help - who ever answers get brainiest !
Answers
Answer:
D if it helps
Step-by-step explanation: