Pentagon ABCDE is rotated 90 degrees counterclockwise about the origin to form pentagon A’ B’ C’ D’ E’. What is the y-coordinate if point C’?

Pentagon ABCDE Is Rotated 90 Degrees Counterclockwise About The Origin To Form Pentagon A B C D E. What

Answers

Answer 1

Answer:

4

Step-by-step explanation:

When rotating a point 90 degrees counterclockwise about the origin the  point A(x,y) becomes A'(-y,x).

Point C has coordinates of (4, 3)

New coordinates will be C'(-3, 4)

So the answer is:

y-coordinate of C' is 4

Answer 2

Answer:

4

Step-by-step explanation:

Hope this helped!


Related Questions

A certain radioactive isotope decays at a rate of 2% per 100 years. If t represents the amount of the isotope left then the equation for the situation is

Answers

Answer:

y=y0e^-0.0002t

Step-by-step explanation:

A certain isotope decays at a rate of 2%per 100 years. If t represent the time in years and y represent the amount of the isotope left then the equation for the situation is y=y0e^-0.0002t . In how many years will there be 86% of the isotope left?
.
Let x = initial amount
then our formula is
.86x = xe^(-0.0002t)
.
Notice, if we divide both sides by x, we eliminate our unknown:
.86 = e^(-0.0002t)
Solving for x, we take the ln of both sides:
ln(.86) = -0.0002t
ln(.86)/(-0.0002) = t
754.114 years = t

Find the volume of the following solid figure. Use = 3.14.
V = 4/31tr3. A sphere has a radius of 4.5 inches.
Volume (to the nearest tenth) =
cubic inches.
381.5
56.5
84.8

Answers

381.5 because it is......

MULTIPLE CHOICE:

A. x2 + 1 = 2x − 3
B. x2 – 2x − 1 = 3
C. x2 + 2x − 1 = 3
D. x2 + 2x − 1 = -3

Answers

Answer:

C

Step-by-step explanation:

The first term -2 is also -B; therefore A and B can be eliminated.

-1+3 is 2, and -4 is the only term used in the formula, so D is also eliminated

Suppose that y varies inversely with x. Given x=-3 when y=-105. Find y when x=15

Answers

Answer:

21

Step-by-step explanation:

It is given that y varies inversely with x.

[tex]y\propto \dfrac{1}{x}[/tex]

[tex]y=\dfrac{k}{x}[/tex]       ...(i)

where, k is constant of proportionality.

It is given that x=-3 when y=-105. Substitute these values in equation (i), to find the value of k.

[tex]-105=\dfrac{k}{-3}[/tex]

[tex]-105\times (-3)=k[/tex]

[tex]315=k[/tex]

Now,

[tex]y=\dfrac{315}{x}[/tex]

Substitute x=15 in the above equation.

[tex]y=\dfrac{315}{15}[/tex]

[tex]y=21[/tex]

Therefore, the value of y is 21 when x=15.

-4x -4y=-5

12x + 12y =15
What do the following equation represent

Answers

Answer:

x=5/4 -y

Step-by-step explanation:

12x-12x   12x-12x     12 divided by 0 = undefined

subtract 12 from both sides of the equation then divide by 12.

so the answer would be:

y= 5/4 -x

Using the graphing function on your calculator, find the solution to the system
of equations shown below.
y+ x = 3
y-2x = -12
A. No solution
B. x = -2, y = 5
C. x = 5, y = -2
D. More than 1 solution

Answers

Answer:

C. x = 5, y = -2

Step-by-step explanation:

I graphed the equations on the graph below.

If this answer is correct, please make me Brainliest!

What is the product?
2x(x-4)
O 2x2-4
O 2x2-8
O 2x2 - 4x
O 2x2-8x

Answers

Answer:

d. 2x^2-8x

Step-by-step explanation:

ure just doing distributive property.

The product of 2x(x-4) is 2x² - 8x

HOW TO OPEN BRACKET?

In a mathematics, algebraic expressions can be in bracket. This bracket means we multiply all the variables outside by those inside.

According to this question, we are given the following expression: 2x(x-4)

This means that 2x multiples x and -4 independently.

That is; 2x × x and 2x × -4

2x² - 8x

Therefore, the product of 2x(x-4) is 2x² - 8x.

Learn more about factorization at: https://brainly.com/question/6810544

Find the least number which must be added to each of the following numbers to make them a perfect square. Also find the square root of the perfect square number so obtained: a) 5678

Answers

Answer:2

Step-by-step explanation:22*

Answer:

5 = 25 = 5

6 = 36 = 6

7 = NA

8 = 81 = 9

Henry has at least 3 times as much money as Deb. Using x= the amount of money Deb has and y= the amount of Henry has, write a inequality that would show all the possible amount of money that each could have. Give one possible solution

Answers

Answer:

y ≥ 3x

Possible solution:  x=1, y=3

Step-by-step explanation:

Since Henry has atleast 3 times as much money as Deb

y=3x

y must always be greater than or equal to 3x

if x=1 y=3

Combine the Expression:(10x - 4) + (-7 + x)

Answers

Answer:

11x-11

Step-by-step explanation:

(10x-4)+(-7+x)

10x-4-7+x

11x-11

Answer:

11x-11

Step-by-step explanation:

10x+x=11x

-4+(-7)=-11

11x-11

if this is right a brainliest would be very appreciated!

Please help me I have to go to a class and I need this fast

Answers

Answer:

5) Mode = 63          6) Mode = 74        

   Range = 70             Median = 74

   Median = 63           Range = 57

   Mean =  58.75        Mean = 68.7

Step-by-step explanation:

If a data value in a normal distribution has a negative z-score, which of the following must be true?

Answers

WHERE ARE THE FOLLOWING?

Answer:

C. The data value must be less than the mean

Step-by-step explanation:

Took the quiz on edge:)

omg please help meee fastttt​

Answers

Answer:

Jill will make less money if they both work 3 hours

Step-by-step explanation:

Trust me. I hope this helps :)

The last option(D)

Five more than a certain number is 11 less than double the number

Answers

Answer:

The number is 16

Step-by-step explanation:

Five more than a certain number is 11 less than double the number

x+5 = 2x-11

11+5 = 2x-x

16 = x

9 is five more than 4 and (2x9=18) 18 is 11 less than 9

Use the law of sines to find the length of side c.
C
be
41.59
37
42°
А
С
CD
O A. 36.64
B. 54.94
C. 37
37 36

Answers

Without the calculator let's just estimate that .5/42 = 1.2% change in the angle; we reduce the length a=37 by 1.2% to get 37×.988=36.556.  That's probably good enough to choose A.

Let's do it the way they want.

[tex]\dfrac{\sin C}{c} = \dfrac{\sin A}{a}[/tex]

[tex]c = \dfrac{a \sin C}{\sin A} = \dfrac{37 \sin 41.5}{\sin 42} = 36.6400[/tex]

Answer: A

Estimate worked.  Sine is approximately linear when the range is small enough.    

Rosalia went on a long bike ride. The table shows how long she biked and the distance she traveled. Determine whether the relationship between hours biked and miles traveled is proportional.

Answers

Answer:

There needs to be a graph.

Step-by-step explanation:

The rate of change is not the same for all the cases so, the relationship between hours biked, and the miles traveled is not proportional.

What is proportionality?

We use constant of proportionality in mathematics to calculate the rate of change and at the same time determine if it is direct variation or inverse variation that we are dealing with.

From the table, we need to find the rate of change between two given hours and the miles traveled at that time.

Now,

Between 1 hour and 2 hours.

The rate of change.

= (26 - 12) / (2 -1)

= 14 / 1

= 14

Between 2 hours and 3 hours.

The rate of change.

= (30 - 26) / (3 - 2)

= 4 / 1

= 4

Between 3 hours and 4 hours.

The rate of change.

= (48 - 30) / (4 - 3)

= 18 / 1

= 18

Since,

The rate of change is not the same for all the cases so,

Hence, the relationship between hours biked, and the miles traveled is not proportional.

Learn more about proportionality here:

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find the volume, help please all numbers are in inches, will mark brainleist ​

Answers

Prism volume will be base area times height.  We have a right triangular base, so its area is half the product of its legs, area (1/2)(6)(8)=24.  The prism has a height 13.  Multiplying we get a volume of 24×13 = 312 cubic inches.

Answer:  312 cubic inches

Solve for x.

-30 = 5(x+1)​

Answers

Answer:

−30=5(x+1)

Step 1: Simplify both sides of the equation.

−30=5(x+1)

−30=(5)(x)+(5)(1)(Distribute)

−30=5x+5

Step 2: Flip the equation.

5x+5=−30

Step 3: Subtract 5 from both sides.

5x+5−5=−30−5

5x=−35

Step 4: Divide both sides by 5.

5x5=−355

x=−7

Answer:

x=−7

Answer:

x = -7

Step-by-step explanation:

Since this problem has the distributive property, we can simplify the problem.

-30 = 5x + 5

Now we have to subtract 5 from both sides because of the +5.

-35 = 5x

To find the answer, we have to move all the real numbers to one side, the variable on the other. To do this, we can simply divide both sides by 5.

-7 = x

x = -7

help so hard!!! i need help

Answers

Answer:

1. b

2. are like terms

Step-by-step explanation:

1. this is b because when you distribute, each of the terms in the parentheses will get multiplied by 3.

2. these are like terms because they have no variables. they are just numbers so they are like terms

Kelly rolls two number cubes 50 times. After each roll, she records whether the number on
each cube is even (E) or odd (O). Her results are shown in the graph. Based on Kelly's results,
which is the most reasonable prediction for the number of times two odd numbers will occur
when two number cubes are rolled 2,000 times?​

Answers

Answer:

480

Step-by-step explanation:

First add the numbers in the table together and put the total as a denominator in a fraction then the amount of times 2 odd numbers appeared as the numerator then put another fraction with 2,000 as the denominator and divide 2,000 by the total then multiply the numerator by that answer to get the correct answer.

Hope this helped!

Using fraction, When two number cubes are rolled 2,000 times , the number of times two odd numbers will occur is 480.

What is fraction?

A fraction is " a number is expressed as a quotient  in which numerator is divided by denominator".

According to the question,

Kelly rolls two number cubes 50 times, each cube is even (E) or odd (O).

The graph shows frequency of two numbered cube roll. The frequency of getting EO is 14, frequency of getting OE is 8, frequency of getting EE is 16 , frequency of getting OO is 12.

Total number of frequency = 14 + 8 + 16 + 12

= 50

The fraction of getting two odd numbers when cube is rolled 50 times

= [tex]\frac{12}{50}[/tex].               →(1)

In order to find, when two number cubes are rolled 2,000 times the number of times two odd numbers will occur.

= [tex]\frac{x}{2000}[/tex].            →(2)

Equating two fraction, to get value of 'x'.

[tex]\frac{12}{50} = \frac{x}{2000}[/tex]

[tex]\frac{12*2000}{50}[/tex]  = x

x = 12 × 40

x = 480.

Hence, using fraction, When two number cubes are rolled 2,000 times , the number of times two odd numbers will occur is 480.

Learn more about fraction here

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Olga decided to purchase a $22,000 MSRP vehicle at a 4.5% interest rate for 4
years. The dealership offered her a $2500 cash-back incentive, which she
accepted. Taking all these factors into consideration, what monthly payment
amount can she expect?

Answers

Answer:

479.375

Step-by-step explanation:

Answer:

$444.67

Step-by-step explanation:

A P E X

Solve the equation in the image

Answers

Answer: 55

Step-by-step explanation:

[tex]\sqrt[3]{4x-4}=6[/tex]

Begin by cubing each side of the equation to get rid of the cubic root.

[tex](\sqrt[3]{4x-4})^3=(6)^3\\ 4x-4=216[/tex]

add 4

[tex]4x-4+4=216+4\\4x=220[/tex]

Divide by 4

[tex]\frac{4x}{4}=\frac{220}{4}[/tex]

[tex]x=55[/tex]

Answer:

it is zero

Step-by-step explanation:

PLSSSS help
Marking BRainlist

Answers

Answer: x = 14 for the first one, x = 4 for the second

Step-by-step explanation:

8x - 9 = 7x + 5

subtract 7x from both sides

x - 9 = 5

add 9 to both sides

x = 14

8x + 9 = 3x + 29

subtract 3x from both sides

5x + 9 = 29

subtract 9 from both sides

5x = 20

divide both sides by 5

x = 4

the first one is

x = 14

the second one is

x = 4

It cost Leah $1.50 to send 10 text messages. How many text messages did she send if she spent $7.05?

PLEASE ANSWER

Answers

Answer:

47 text messages

Step-by-step explanation:

7.05 divided by 1.50 which is 4.7

The multiply 4.7 times 10 which give you 47.

10 texts = $1.50

/10              /10

1 text = $0.15

# of texts = $7.05/$0.15 = 47 texts

Answer:

47 texts

Please help ;-;, I really need it-

Answers

Answer:

See below

Step-by-step explanation:

For a more detailed explanation, take a look at PDF below;

Surface Area of First Figure; 544 in^2,

Surface Area of Second Figure; 276 ft^2,

Surface Area of Third Figure; 1240 yd^2

A car travels m miles per hour. Which variable expression represents the number of miles traveled in 8 hours?

A. m/8
b. m-8
c. 8m
d. 8÷m

Answers

Answer:A Idk if this is right!

Describe the pattern of the number sequence 1, 9, 17, 25, 33, .... by using algebraic expressions

Answers

Answer:

8n + 1, where n is a whole number greater than or equal to 0.

Step-by-step explanation:

Every number on this list is one more than a multiple of 8, so if n is a whole number great than or equal to 0, the expression 8n describes every multiple of 8, and 8n + 1 describes every number one more than a multiple of 8.

The sequence is an arithmetic sequence.

The pattern is 1 + (n - 1)8.

What is an arithmetic sequence?

It is a sequence where the difference between each consecutive term is the same.

Example:

2, 4, 6, 8 is an arithmetic sequence.

We have,

1, 9, 17, 25, 33,....

This is an arithmetic sequence.

The first term is 1.

a = 1

The common difference is 8.

d = 8

i.e

9 - 1 = 8

17 - 9 = 8

25 - 17 = 8

The nth term of an arithmetic sequence.

= a + (n -1)d

= 1 + (n - 1)8

Thus,

The pattern of the sequence is 1 + (n - 1)8.

Where n is the term of the number.

Learn more about arithmetic sequence here:

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I NEED HELPPPPP!!!! PLZZZ

Answers

Answer:

13.5

Step-by-step explanation:

Find the area of the trapezoid by decomposing it into other shapes.
A) 25 cm2
B) 27 cm2
C) 30 cm2
D) 35 cm2

Answers

Answer:

35 cm2

Step-by-step explanation:

Answer:

The area of the trapezoid would be 30 cm squared.

Step-by-step explanation:

please help me!!!!!!!!!!​

Answers

Answer:

(1,4)

(2,6)

(3,8)

(4,10)

(5,12)

Step-by-step explanation:

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