∆ABC is translated 2 units down and 1 unit to the left. Then it is rotated 90° clockwise about the origin to form ∆A′B′C′. The coordinates of vertex A′ of ∆A′B′C′ are . The coordinates of vertex B′ of ∆A′B′C′ are . The coordinates of vertex C′ of ∆A′B′C′ are .

Answers

Answer 1

Answer:

A'(-2, 1), B'(1, 0), C'(-1, 0)

Step-by-step explanation:

Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, reflection, dilation and translation.

If a point X(x, y) is translated a units right and b units down, the new location is X'(x + a, y + b) whereas if a point X(x, y) is translated a units left and b units up, the new location is X'(x - a, y - b).

If a point X(x, y) is rotated 90° clockwise about the origin, the new location is X'(y, -x)

From the image attached, ∆ABC is at A(0, 0), B(1,3) C(1, 1)

If ∆ABC is translated 2 units down and 1 unit to the left (x - 1, y - 2), the vertices would be A*(-1, -2), B*(0, 1), C*(0, -1)

If it is then rotated 90° clockwise about the origin, the new location is A'(-2, 1), B'(1, 0), C'(-1, 0)

ABC Is Translated 2 Units Down And 1 Unit To The Left. Then It Is Rotated 90 Clockwise About The Origin
Answer 2

Answer:

The coordinates of vertex A′ of ∆A′B′C′ are  (-2, 1) .

The coordinates of vertex B′ of ∆A′B′C′ are  (1, 0) .

The coordinates of vertex C′ of ∆A′B′C′ are  (-1, 0) .

Step-by-step explanation:


Related Questions

State the minimum monthly income and hourly wage per worker needed to cover monthly expenses for the family you used in part a. Then, explain how to calculate the hourly wage based on the monthly income and state the hourly wage. Assume that each full-time worker works four 40-hour work weeks per month, and each part-time worker works two 40-hour weeks per month.
HOUSING $1,386

FOOD $804

CHILD CARE $1,709

Transportation $1,235

HEALTH CARE $908

OTHER NECESSITIES $884

TAXES $1,483

Monthly Total $8,409

Annual Total $100,909

Answers

Answer:

these teachers b expectin u to do this bs

Step-by-step explanation:

An ant has a mass of 0.005 gram. A small be has a mass of 0.05 gram. A grasshopper has a mass of 0.5 gram. How many ants would it take to equal the mass of 1 grasshopper.

Answers

Answer:

200 ants

Step-by-step explanation:

Im not really sure on this but i tried lbao

Ava earns $3,000 in 1 month at her job. How much will Ava earn in 20 months?
Use the drop-down boxes to show how to solve the problem.

Ava Finds _________. Ava will earn __________ in 20 months.

Answers

Answer:

$60,000

Step-by-step explanation:

If Ava earns at a constant rate of $3,000 for 1 month, then just multiply $3,000 by how many months she works.

3,000 x 20 = 60,000

If Ava earns $3,000 in one month, she will earn $60,000 in 20 months.

Based on the amount that she earns per month, we can find out that in 20 months, Ava will earn $60,000.

Ava earns $3,000 per month she works.

If she worked for 20 months, that monthly amount would be multiplied by 20 as shown below:

= Salary per month x number of months worked

Solving would give:

= 3,000 x 20

= $60,000

In conclusion, Ava would make $60,000 in 20 months.

Find out more at https://brainly.com/question/21823806.

what does x equal to

Answers

Answer:

x= 15

Step-by-step explanation:

first you subtract 1 then you multiply everything by 5 then  you divide by 2

hope this helps

M Is the midpoint of AB. If AB = 3x +14, and AM = 2x-1, find x and MB.​

Answers

Answers:

x = 16

MB = 31

==================================================

Work Shown:

M is the midpoint of AB

This means AM is half as long as AB and AM = MB

Put another way, AB is twice as long as AM

AB = 2*AM

3x+14 = 2*(2x-1)

3x+14 = 4x-2

14+2 = 4x-3x

16 = x

x = 16

AM = MB

MB = AM

MB = 2x-1

MB = 2*16-1

MB = 32-1

MB = 31

Help!!!!!!!!!!!!!!!!
Find the values of the letters​

Answers

Answer:

A = -3

B = 5

Proof:

A ⇒ -3+5 = 2

B ⇒ 3+2 = 5

Answer:

7=A 6=B

Step-by-step explanation: 37+25=62

how tall am i?????????????????????/

Answers

5’6 - 5’8
that seems like an average height right

HELP! DUE TONIGHT!! Also, I need an explanation (if you can its alright if not) so I can also understand it for the test too.

What is the value of x?

Answers

Answer:

The value of x in the problem is 1.

What is the greater 205/1000 or 0.205

Answers

Answer:

It is equal none of them is greater than the other

Step-by-step explanation:

Answer:

They are the same.

Step-by-step explanation:

205/1000 is .205

HELP 100 POINTS PLEASE

Answers

w o w 100 points! t h a n k s :D

Answer:

Done

Step-by-step explanation:

A.

C.

G.

у + 6x — 36 = 0
Solve for y

Answers

Answer:

y=-6x+36

Step-by-step explanation:

у + 6x — 36 = 0

-add 36 to both sides

y+6x=36

-subtract 6x from both sides

y=36-6x or y=-6x+36

-This should be the correct answer

Tanya walked for 171717 minutes from her home to a friend that lives 1.51.51, point, 5 kilometers away. d(t)d(t)d, left parenthesis, t, right parenthesis models Tanya's remaining distance to walk (in kilometers), ttt minutes since she left home. Which number type is more appropriate for the domain of ddd?

Answers

Correct question is;

Tanya walked for 17 minutes from her home to a friend that lives 1.5 kilometers away. D(t) models Tanyas remaining distance to walk in kilometers, t minutes since she left home. What number type is more appropriate for the domain of d?

Answer:

0 ≤ t ≤ 17 ; (0, 17)

Step-by-step explanation:

We are told that she has walked for 17 minutes from her home to a friend that lives 1.5 kilometers away.

Now, we want to find the domain of numbers that shows her remaining distance.

Since she spent 17 minutes, then it means in modeling remaining distance it could be from 0 to 17 minutes as the case may be. Thus, the domain can be written as;

0 ≤ t ≤ 17 ; (0, 17)

Answer:

0≤t≤17, real numbers

Step-by-step explanation:

What value of x satisfies the system of equations below?

x = 8 – 2y

x + 3y = 12



A.
4

B.
0

C.
16

D.
5

Answers

Answer:

I think it is B) 0

Step-by-step explanation:

Answer:

b

Step-by-step explanation:


Jimmy practices hitting baseballs every day. His first time at bat, the baseball goes 10 feet. For every day he
practices, the baseball goes 6 feet farther. Write an equation to describe this situation.

Answers

Answer:

I think it is 10 + (6x)

Step-by-step explanation:

because he starts at ten and every day it adds 6 and x represents the number of days

Help me out please an thank you

Answers

X=12
So answer B would be correct
They are vertical angles to those expressions are equivalent
4x-25=2x-1
2x=24
X=12

Solve the system of equations.
y = 7x + 43
y = 2x + 13
a. (-6, 1)
b. (6, -1)
C. (6, 1)
d No solution
Please select the best answer from the choices provided
A
B
Ο Ο Ο Ο
С

Answers

Answer:

A,(‒6,1)

Step-by-step explanation:

y=7x+43

y=2x+13

(choose one equation &multiply by ‒1 to be y=0)

‒y=‒7x‒43

y=2x+13

0=‒5x‒30

we got the equation this (‒5x‒30=0) now we can solve x

‒5x‒30=0

‒5x=30

‒5x/‒5=30/‒5

x=‒6 (now we got the value of x, then we will find tge value of y by substitute )

y=2x+13

y=2(‒6)+13

y=‒12+13

y=1

therefore the pairs will be (‒6,1)

i hope my answer is clear

Multi-step equations
20) -5(1 - 5x) + 5(-8x - 2) = -4x - 8x

Answers

Answer: x = -5 because I isolated the variable
-5 + 25x - 40x - 10 = -4x - 8x
-15x - 15 =-12x
-15 x + 12x = 15
-3x = 15
x = -5

Given the ordered pair P, determine the requested sin, cos, or tan of angle . P(4, 5) cos = 5/4 4/5 (5√41)/41 (4√41)/41

Answers

Answer:

5 over 4 is 2/12 and if cos= the number of P then the vaul of the number would go up

-by-step explanation:

[tex]5\sqrt{x41} = 6 + the other number would be[/tex]

Find the slope between the following two points.
(9, 0), (12, -1)

Answers

Answer:

[tex]-\frac{1}{3}[/tex]

Step-by-step explanation:

[tex]m=\frac{rise}{run}=\frac{-1-0}{12-9}=\frac{-1}{3}=-\frac{1}{3}[/tex]

Hope this helps.

What is |2(-7.5)| ?​

Answers

Answer:

15

Step-by-step explanation:

sorry if this is wrong :)

The meaning of this annotation: "| |" is Absolute value.

It is important to note that the absolute value of a negative number = a positive number.

Solving for : |2(-7.5)|

Step 1: Expand the bracket

|2(-7.5)| = |2 x (-7.5)|

= |-15|

Step 2: The absolute value of  |-15| is :

|-15| = 15

Therefore, |2(-7.5)| = 15

To learn more, visit the link below:

brainly.com/question/17291634

ASAP definition for unit rate

Answers

How much of something per 1 unit of something else.

Examples:

• 100 cars pass by in 2 hours. The unit rate is 50 cars per hour.
• You can paint 3 boards in half an hour. The unit rate is 6 boards per hour.
• 200 sausages were eaten by 50 people. The unit rate is 4 sausages per person.
• They need 5 m of thread to make 2 cm of cloth. The unit rate is 2.5 m per cm.

Answer:

the ratio of two measurements in which the second term is 1.

Step-by-step explanation:

Hope this helps! UwU

How can we tell the computer both what to put on the web page, and how to organize it?

Prompt: In your own words, how does HTML help solve the problem of telling the computer what a web page looks like, not just what content is on it?

Answers

Answer:

Step-by-step explanation:

The way we do this is through coding. HTML is the go-to programming language that are basically instructions given to the computer explaining what content will go on the web page as well as how it will be organized. HTML tends to go hand-in-hand with CSS, another programming language that focuses on how the content will look, such as color, borders, shading, etc. All with the idea of making the content look nicer. Without these programming languages, it would be impossible for individuals to make webpages.

Can someone explain this? Are my answers for 2 and 4 good?

Answers

Answer:

I can't see that good enough

Find the slope of (1,-2),(-2,2

Answers

Answer:

i think it is rise run :)

Step-by-step explanation:

Answer: Should be -4/3 or 4/-3



Explanation:

find the value of b-7 when b=18

would i just subtract 18-7??

Answers

Answer:

yes

18-7=11

hope it will help.

One of the wagers in roulette is to bet that the ball will stop on a number that is a multiple of 3. (Both 0 and 00 are not included.) If the ball stops on such a number, the player wins double the amount bet. If a player bets $5, compute the player's expectation. (Round your answer to two decimal places.)

Answers

Answer:

The player's expectation is a loss of 20 cents.

Step-by-step explanation:

In a game of roulette, there are 38 slots where the ball can stop.

The slots are numbered as follows: {0, 00, 1, 2, 3 ..., 36}.

So, N = 38.

The slots which are multiples of 3 are:

S = {3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33 and 36}

So, n (S) = 12.

Let X = the ball stops on a number that is a multiple of 3

The probability that the ball stops on a number that is a multiple of 3 is:

[tex]P(X)=\frac{n (S)}{N}=\frac{12}{38}=0.32[/tex]

It s provided that the player wins double the amount bet if the ball stops on a number that is a multiple of 3.

Compute the player's expectation as follows:

[tex]E(X)=\sum X\cdot P(X)[/tex]

        [tex]=(\$10\times 0.32)+(-\$5\times (1-0.32))\\\\=\$3.20-\$3.40\\\\=-\$0.20[/tex]

Thus, the player's expectation is a loss of 20 cents.

2.
If you have a word problem that mentions the number of students in your school, what
variable would you assign to the number of students?

Answers

Answer:

If you're looking at all the students together, a variable you could use would be S.

If you're looking at separate sexes, you could use B & G.


15. *Free response. GCO2. After examining the following graph, Kate claims that WXYZ is translated
according to the rule (x, y) (x + 11, y-2). Is she correct? If not, write the correct rule.

Answers

D =works , equal lateral

Tickets for a matinee at the Paramount Theater cost $2 for student tickets and $3 for adult tickets. Our class spends $72 to see the show. The equation of 2x+3y=72, models the total cost, where x is the number of $2 student tickets and y is the number $3 adult tickets.
Find and interpret (explain) both intercepts in the context of this situation.

Answers

2x + 3y = 72 is a perfect equation to solve for the number of students and the number of teachers.    y= teachers   x= students.

We want to factor the following expression:
16x4 – (y - 1)
We can factor the expression as (U+V)(U - V) where U and V are either constant integers or single-variable expressions.
What are U and V?

Answers

Answer:

Answer: U = 4x^2 and V=y-1

factored : (4x^2+y-1)(4x^2-y+1

Step-by-step explanation:

The value of U and V are 4x² and (y-1) respectively and the factor of the expression is (4x² + (y-1)) and (4x² + (y+1)) option (C) is correct.

What is an expression?

It is defined as the combination of constants and variables with mathematical operators.

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

We want to factor in the following expression:

16x⁴-(y-1)²

We can factor the expression as (U+V)(U-V) where U and V are either constant integers or single-variable expressions.

1) What are U and V?

2)Factor the expression.​

We have an expression:

= 16x⁴-(y-1)²

or

= (4x²)²-(y-1)²

Using the identity:

a² - b² = (a + b)(a- b)

(4x²)²-(y-1)² = (4x² + (y-1))(4x² + (y+1))

The value of U = 4x²

V = (y-1)

The factor of the expression is:

(4x² + (y-1)) and (4x² + (y+1))

Thus, the value of U and V are 4x² and (y-1) respectively and the factor of the expression is (4x² + (y-1)) and (4x² + (y+1))

Learn more about the expression here:

brainly.com/question/14083225

#SPJ2

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