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
What is the sum of 3 1/4 and 4 3/4 simplify answer
Answers
Answer:
8
Step-by-step explanation:
3 1/4
+4 3/4
----------------
7 4/4
But we know 4/4 = 1
7 +1
8
Answer:
8
Step-by-step explanation:
3 and 1/4 + 4 and 3/4 =
3+4+1/4 +3/4
= 3+4+4/4 because 4 fourths is one whole
=3+4+1 = 8
Find the distance between the two points in simplest radical form.
(-1,2) and (-7, -6)
Answers
Answer:
10
Step-by-step explanation:
what directed number is suggested by the statement "I gained 3 pounds "?
Answers
Answer:
The directed number suggested is +3.
Step-by-step explanation:
A directed number is one that has either a positive or negative sign, so that it could be easily located on the number line. Thus, the sign shows the direction of the number. Examples are: -2, -1, +5, +6 etc.
From the given question, let the initial weight be represented by W, then:
I gained 3 pounds implies at that; 3 pounds was added to my initial weight. Thus, my present weight is my initial weight + 3 pounds.
i.e I gained 3 pounds ⇒ W + 3
So that the directed number suggested by the statement is +3.
Use the formula R = log I, where R is the measurement of the Ritchter scale and i is the intensity, to find the Ritchter scale measurement of an earthquake with intensity 24,000,000. NO LINKS!!!
Answers
9514 1404 393
Answer:
7.4
Step-by-step explanation:
Put the given value into the formula and do the arithmetic.
R = log(2.4×10^7)
R ≈ 7.3802 ≈ 7.4
The earthquake is about 7.4 on the Richter scale.
Struggling with these last two. Thanks so much!!
Answers
Answer:
1. C
2. D
Step-by-step explanation:
1. first find the slope by using the formula (y2-y1)/(x2-x1). We need to find the equation for CE so use points C (0, 1) and E (5, 5). (5-1)/(5-0) = 4/5, which is the slope. from there u can tell that the answer is the third choice, which let's say is C, because the y intercept of the line is 1.
2. Do the same thing except with points A (-5, 1) and D (0, 6). (6-1)/(0-(-5)) = 1
The y intercept is 6 because that is where the line intersects the y axis, or where x is 0.
so the equation is y=x+6, which is just the last option, let's say D, but just rearranged
and the second one D
how to find the volume of this cube
Answers
Anthony cut a piece of metal that weighed 2,700 grams. Dionne cut a piece of metal that weighed 3,200 grams. How much heavier was Dionne’s piece, in kilograms?
A 0.5 C 50
B 5 D 500
Answers
Answer:
D: 500
Step-by-step explanation:
This is the answer because 3,200 - 2,700 = 500. Can I have a brainliest?
XxRoadToAcexX
Determine whether each ordered pair is a solution of the inequality-3x-4y<6
Answers
Answer:
it's (6,0) I can't explain though
Which of the following equations is a solution for 5745?
A. 45 = 5
B. x2 = 45
C.x = 45
D.NXS = 45
Answers
Answer:
c
Step-by-step explanation:
Can someone please help me I will mark u brilliant
Answers
Answer: 6.50 + 5.75n
Step-by-step explanation:
Answer:
6.50 + 5.75n
Step-by-step explanation:
because since it said let n equal the number of hours AFTER the FIRST hour.
(just have to read the question carefully)
How can you evenly split 8 apples among 15 people without cutting any apple into more than 5 parts?
Answers
Answer:
1/3 and 1/5
Step-by-step expl1
u should kno
I need help on this!
Study guide for exam
No links
The circle has the same question!
Answers
Answer:
60
Step-by-step explanation
20*3 becasuse it equlatrial
Translations, rotations, and reflections are rigid transformations. What can you conclude about the measures of sides and angles on any triangle after undergoing a series of rigid transformations? Explain.
Answers
Answer:
After a translation, the measures of the sides and angles on any triangle would be the same since translation only involves changing the coordinates of the vertices of the triangle.
After a rotation, the measures of the sides and angles of a triangle would also be the same. Similar to translation, the proportion of the triangle is unchanged after a rotation.
After a reflection, the triangle's sides and angles would still be the same since reflection is a rigid transformation and the proportion of the sides and angles are not changed.
Step-by-step explanation:
Rigid transformations, i.e. translations, rotations, and reflections, preserve the side lengths and angles of any figure. Therefore, after undergoing a series of rigid transformations, the side lengths and angle measures of any triangle will be the same as the original triangle, generally speaking, in another position.
Answer:
They are all congruent or equal. The angles and side lengths are preserved through the rigid transformations.
Step-by-step explanation:
That’s what i put
what is a decimal in mathematics
Answers
Answer:
a decimal number can be defined as a number whose whole number part and the fractional part is separated by a decimal point. The dot in a decimal number is called a decimal point. The digits following the decimal point show a value smaller than one.
Step-by-step explanation:
Fitness can be measured by the rate of oxygen consumption during exercises with more fit people having higher rates. Unfortunately, this measurement is quite costly to obtain, and so an experiment was done to see if this measurement could be predicted from the time it takes (in minutes) to run 1500 m. The following computer output was obtained. Which of the following is NOT CORRECT?
a. For every additional minute it takes to run the 1500 m the estimated oxygen consumption rate decreases by 3.31.
b. The fitted regression line is approximately Y = 82.42(runtime)
c. A person who runs 1500 m in 10 minutes would have an estimated oxygen consumption rate of about 50.
d. There is good evidence that there is a relationship between oxygen consumption and the run time.
e. The slope is 82.42.
Answers
Answer:
b. The fitted regression line is approximately Y = 82.42(runtime)
Step-by-step explanation:
The regression line is Y= aX + b
here b= 82.42 a = -3.31
Hence the regression equation is
Y= 82.42- 3.31 X
where x is the runtime and the slope is given by b.
Option a is correct because from the above equation we see that for every additional minute it takes to run the 1500 m the estimated oxygen consumption rate decreases by 3.31.
Option b is incorrect because the runtime is not given by Y it is given by X.
Option C is correct as
Y= 82.42-3.31*10
Y= 82.42-33.1
Y= 49.32 almost 50
Option d is also correct that the equation line shows a relationship between oxygen consumption and the run time.
Option e is also correct because the slope is given by b and b= 82.42
Find the value of x or y so that the line through the points has the given slope.
Answers
Answer:
x= -6
Step-by-step explanation:
(-1+5)/(x+3) = -4/3
4/(x+3)= -4/3
-4(x+3)= 3(4)
-4x-12= 12
-4x= 24
x= -6
Simplify -4(2x - 3) + 7 x – 1.
Answers
Answer:
-x+11
Step-by-step explanation:
The length of time required for the periodic maintenance of an automobile or another machine usually has a mound-shaped probability distribution. Because some occasional long service times will occur, the distribution tends to be skewed to the right. Suppose that the length of time required to run a 5000-mile check and to service an automobile has mean 1.4 hours and standard deviation .7 hour. Suppose also that the service department plans to service 50 automobiles per 8-hour day and that, in order to do so, it can spend a maximum average service time of only 1.6 hours per automobile. On what proportion of all workdays will the service department have to work overtime?
Answers
Solution :
Mean time for an automobile to run a 5000 mile check and service = 1.4 hours
Standard deviation = 0.7 hours
Maximum average service time = 1.6 hours for one automobile
The z - score for 1.6 hours = [tex]$\frac{1.6-1.4}{0.7 / \sqrt{50}}$[/tex]
= 2.02
Now checking a normal curve table the percentage of z score over 2.02 is 0.0217
Therefore the overtime that will have to be worked on only 0.217 or 2.017% of all days.
Which figure shows a reflection of pre-image QRS over the line t?
I need help PLSSSSS 50 points!!!
Answers
What is the slope of y<-3/4x-1
Answers
Answer:
-3/4
Step-by-step explanation:
In slope-intercept form, the slope is the coefficient of x.
Donnie is packing for a
camping trip. He plans to bring 2 pairs
of shorts and 4 t-shirts. How many
different outfit combinations can he
make?
(No links please :D)
Answers
Answer:
8
Step-by-step explanation:
4x2=8
Which equation represents the data in this function table?
A. y = x - 8
B. x= y + 8
C. y = 3x
D. y = x + 3
Answers
Answer: The answer is B. Because 3 multiplied by x and add it by 3 equates to y. example: (x=2) 3x2+3= y. y=9 .
The answer is not b
Step-by-step explanation:
What is z if x = 25, u = 22, o= 6, and
n = 9?
A. -2.5
B. -1.5
C. 1.5
D. 2.5
Answers
Answer:
what's the equation????
I really need help , someone please help :’( ... ill also make you brainlist.
Answers
Answer:
Step-by-step explanation:A)13 miles in feet = 68640 feet
we now need to get the number of cars, we use division to get groups
68640 / 15 = 4576.
we now see there are 4576 cars in the traffic jam.
B)Less, they are longer cars so the divosor would no longer be 15, it would be a higher number. 4576 cars would not be able to fit in a 13 mile stretch if those cars were any longer.
Can someone help me?
Answers
Answer:
7. D) 61in
8. A) 57in
9. A) 47in
Step-by-step explanation:
The perimeter is the distance around the area of a 2-dimensional figure. it can be found by adding up all of the sides of the figure. One can use this to solve for the value of the parameter (x). Then substitute the value back in to find the value of the side.
7.
AB + BC + AC = 145
Substitute,
2x + 2x + 5 + x = 145
Simplify,
5x + 5 = 145
Inverse operations,
5x + 5 = 145
-5
5x = 140
/5
x = 28
Substitute,
AC = 2x + 5= 2(28) + 5 = 61
8.
AB + BC + AC = 135
Substitute,
2x + 2x + 5 + x = 135
Simplify,
5x + 5 = 135
Inverse operations,
5x + 5 = 135
-5
5x = 130
/5
x = 26
Substitute,
AC = 2x + 5 = 2(26) + 5 = 57
9.
AB + BC + AC = 122
Substitute,
x + 22 + 2x + x = 122
Simplify,
4x + 22 = 122
Inverse operations,
4x + 22 = 122
-22
4x = 100
/4
x = 25
Substitute,
AB = x + 22 = 25 + 22 = 47
Answer: HURRY I need it quick and will give Brainliest Which value of x satisfies the equation StartFraction 12 over StartRoot x plus 2 EndRoot EndFraction plus 8 equals 10?
Answers
Answer:
D
Step-by-step explanation:
A. 20
b. 5
c. 40
d. 45
Answers
Answer:
C, 40
Step-by-step explanation:
You can set up the equation as 20+4x=180
180 is the total angle of the line
4x=160 and divide each side by 4
x=40
By divide but iam not sure sorry if it wronge
jaslyyyyyyyyyy yus beans
Answers
Answer:
7/9
Step-by-step explanation:
21 / 27 = 3 * 7 / 3 * 9
= 7/9
Use the distributive property to find the equivalent expression. 9(2 + 3x) =
Answers
Answer:
9(2+3x)
9*2+9*3x
18+27x
Step-by-step explanation:
Which figure shows a reflection of pre-image QRS over the line t?
I need help PLSSSSS 50 points!!!
Answers
Answer:
A, because its reflecting off of the y axis
Step-by-step explanation:
I have proof links, and I took the test