If P Q R S is translated along <3,-2 >, reflected in y=-1, and rotated 90° about the origin, what are the coordinates of P''' Q''' R''' S''' ?

Answers

Answer 1

P'''( 1 , -2 )     Q'''( 0 , 1)   R'''( -1 , 3 )    S'''( -2 , 0) are the coordinates of P''' Q''' R''' S''' .

What does the term "coordinates" mean?

Coordinates are numerical lengths or angles that uniquely identify locations on two-dimensional (2D) surfaces or in three-dimensional (3D) space ( 3D ). Mathematicses, scientists, and engineers frequently employ a variety of coordinate systems.

( x , y)  →  ( x + 3 , y - 2 )

p' ( -2, -1 )     Q' ( 1 , 0)    R'( 3, -3 )   S'(0, -4 )

( x , y )  →   ( x , -2 - y)

p''(-2 , - 1 )   Q''( 1 , 0 )     R''( 3 , 1 )      S''( 0,2 )

( X , Y ) →  ( -Y , X )

P'''( 1 , -2 )     Q'''( 0 , 1)   R'''( -1 , 3 )    S'''( -2 , 0)

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Related Questions

What sets (types or categories) of numbers do we use as the input to functions that represent sequences?

Answers

Answer:

electrical is a good servant but master

I Need help pls i forgot what to do with this math problem

Answers

Answer:

-8^3/7^3 = -512/343

Step-by-step explanation:

3√ (-512/343) = 3√-(8/7)^3 = -8/7

-8^3/7^3 = -512/343


Create equations and inequalities in one variable and use them to solve problems. Include equations arising from linear and quadratic functions, and simple rational and exponential functions.

Answers

To solve problems, construct one-variable equations and inequalities.

How to use them to solve problems?

As opposed to an inequality, which links two different values, an equation declares that two expressions are equal.

Create one-variable equations and inequalities, then utilize them to solve issues.

Include simple rational and exponential equations as well as those resulting from linear and quadratic functions.

In order to answer word problems, students should be able to decipher them and create equations and inequalities.

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Two different tests to write k/4 +16

Answers

Step-by-step explanation:

\begin{gathered}6x - 2y = 6 \\ 6x = 6 + 2y \\ x = \frac{6 + 2y}{6} \end{gathered}

6x−2y=6

6x=6+2y

x=

6

6+2y


Paul collects comic books. He has 20 books in his collection, and he adds 3 per month. In how many months will he have a total of 44 books in his collection?
F. 5
G. 6
H. 8
J. 15

Answers

In 8 months he will have a total of 44 books in his collection.

The correct answer is an option (H)

In this question,

Paul collects comic books. He has 20 books in his collection, and he adds 3 per month.

We need to find the number of months required to have a total of 44 books in his collection.

Let n be the required number of months.

From given information, we get an equation,

20 + 3n = 44

We solve above equation to find the required number of months.

20 + 3n - 20 = 44 - 20

3n = 24

n = 8

Therefore, in 8 months he will have a total of 44 books in his collection.

The correct answer is an option (H)

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Solve. Find the area of a pantry shelf that measures 3 yards by 3/7 yard.

Answers

Answer:

The answer is 9/7 yards.


Simplify.
2 + 8 - 2 [32 + 5 (1 + 2)]}

Answers

Your answer should be - 84.

Explanation:

Starting equation: [tex]2\:+\:8\:-\:2\:\left[32\:+\:5\:\left(1\:+\:2\right)\right][/tex]

-Calculate within parentheses [32 + 5 (1+2)] = 47.

Remaining equation: 2 + 8 - 2 x 47

-Multiply and divide (left to right) 2 x 47 = 94

Remaining equation: 2 + 8 - 94

-Add and subtract (left to right) 2 + 8 - 94 = -84

Your final answer is -84

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Hope this helps!

Have a great day and God bless! :)

3x3 what is the sum to this..?

Answers

Answer:

9

Step-by-step explanation:

3x3=9

Answer:

the sum is 9

Step-by-step explanation:

3×1=3

3×2=6

3×3=9


Record your answers on the answer sheet provided by your teacher or on a sheet of paper.
Suppose line l contains points A, B , and C , If A B=7 inches, A C=32 inches, and point B is between points A and C , what is the length of BC? Express your answer in inches.

Answers

Length of BC is 25 inches.

Here,

Line l contains points A, B and C.

A B =7 inches, A C = 32 inches, and point B is between points A and C.

We have to find the length of BC in inches.

What are Collinear points?

If two or more points are lie on a straight line then points are called Collinear points.

Now,

Line l contains points A, B and C.

Point B is between points A and C.

Length of A B = 7 inches and A C = 32 inches

Hence, Length of BC = Length of AC - Length of A B

                                 = 32 - 7 = 25 inches.

Therefore, Length of BC is 25 inches.

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Write the equation of the circle that passes through the given point and has a center at the origin. (Hint: You can use the distance formula to find the radius.) (-2,3)

Answers

The equation of the circle that passes through the point (-2 , 3) and has a center at the origin is x^2 + y^2 = 13.

Using the distance formula, get the radius of the circle by solving for the distance between the center and the point (-2 , 3).

radius = distance = √(x2 - x1)^2 + (y2 - y1)^2

radius = √(-2 - 0)^2 + (3 - 0)^2

radius= √4 + 9

radius = √13

The standard form of the equation of the circle is given by (x - h)^2 + (y - k)^2 = r^2, where (h , k) is the location of the center and r is the radius of the circle.

Given the radius and center of the circle, substitute these values to the standard form of the equation of the circle.

(x - h)^2 + (y - k)^2 = r^2

where (h , k) = (0 , 0)

r = √13

(x - 0)^2 + (y - 0)^2 = (√13)^2

x^2 + y^2 = 13

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help I'll mark brainliest ​

Answers

Answer:

2 + (-7) = -5

Step-by-step explanation:

The arrow pointing down is telling you to add a negative. You cannot add positive numbers and get a negative number as your answer.

Taking away -7 from 2 gives you -5

Number 7 is the one I need help with please

Answers

Answer:

23

Step-by-step explanation:

The answer is C 14-9=5

y varies directly as x. Describe how the value of y
changes when the value of x is tripled.

Answers

Answer: When x is tripled, y will be tripled.

Step-by-step explanation:

     Since y varies directly as x, whatever happens to x will happen to y. This means that if x is tripled, y will also be tripled.

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Write two absolute value functions such that they have a common vertex in Quadrant III and one is the reflection of the other in a horizontal line.

Answers

The functions

y = -|x + 4| - 5y=−∣x+4∣−5

y = |x + 4| - 5y=∣x+4∣−5

Both these functions have got a common vertex in the third Quadrant.

They are the reflections of each other in a horizontal line.

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Problem: using the digits -9 to 9 at most one time each, place a digit on each box to create an equation whose solution is a positive whole number. ("_" is what i need to fill in and the "/" are fractions)
_/_(x)+_/_= _

Answers

Considering division signal rules, one possible example of an equation that results in a positive number is:

-9/-3 + 3/1 = 6.

When does a division results in a positive number?

A division(fraction) results in a positive numbers if the two terms have the same signal, either both positive or both negative.

Hence, to ensure an expression with a positive result in this problem, the terms in each division got to have the same signal, as the example that follows:

-9/-3 + 3/1 = 6.

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Two tents are in the shape of hemispheres, with circular floors. The ratio of their floor areas is 9: 12.25 . If the diameter of the smaller tent is 6 feet, what is the volume of the larger tent? Round to the nearest tenth.

Answers

The volume of the larger tent in the shape of hemispheres, with circular floors, is 89.8 cubic feet.

If the diameter of the smaller tent is 6 feet, then its radius is 3 feet. Solving for the area of its circular floor,

A = πr^2

A = π(3 feet)^2

A = 9π square feet

Using the ratio of the floor areas of the two tents, calculate the area of the circular floor of the larger tent.

9 : 12.25 = 9π square feet : x

where x = area of the circular floor of the larger tent

9x = 12.25(9π)

x = 12.25 π square feet

If the area of the circular floor of the larger tent is 12.25 π square feet, then solving for its radius,

A = πr^2

12.25 π square feet = πr^2

r = 3.5 feet

Hemisphere refers to half of a sphere and its volume is given by the formula V = 2/3πr^3, where r is the radius.

V = 2/3πr^3

V = 2/3 π (3.5 feet)^3

V = 89.79719002 cubic feet

Rounding off to the nearest tenth.

V = 89.8 cubic feet

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If $9237.05 is put into an account paying %8.82/ a compounding yearly, how much interest will be earned after 16.7 years?

Answers

Answer:

$28,656.82

Step-by-step explanation:

I used the compound interest calculator

A = P(1 + r/100)ⁿ

where A = amount accrued, P = investment amount r = rate% and n = number of years

r = 8.82% = 8.82/100 = 0.082 so 1 + r/100 = 1.0882

[tex]\\A = P(1.0882)^{16.7} = \$37,893.87\\\\\mathrm {Interest} = \$37,893.87 - \$9237.05 = \$28,656.82[/tex]

Answer:

$28,656.82

Step-by-step explanation:

Annual Compound Interest Formula

[tex]\large \text{$ \sf I=P\left(1+r\right)^{t} -P$}[/tex]

where:

I = Total interest earned.P = Principal amount invested.r = Interest rate (in decimal form).t = Time (in years).

Given:

P = $9237.05r = 8.82% = 0.0882t = 16.7 years

Substitute the given values into the formula and solve for I:

[tex]\implies \sf I=9237.05(1+0.0882)^{16.7}-9237.05[/tex]

[tex]\implies \sf I=9237.05(1.0882)^{16.7}-9237.05[/tex]

[tex]\implies \sf I=9237.05(4.1023777...)-9237.05[/tex]

[tex]\implies \sf I=37893.8685...-9237.05[/tex]

[tex]\implies \sf I=28656.8185...[/tex]

Therefore, the amount of interest that will be earned after 16.7 years is $28,656.82 (nearest cent).

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identify the inequalities A, B , and C for which the given ordered pair is a solution.
A. x+y ≤ 2

B. y ≤ (3/2)x-1

C. y>-(1/3)x-2

(-8,-11)

Answers

The inequality y ≤ (3/2)x-1 satisfies the point (-8, -11) option (B) y ≤ (3/2)x-1 is correct.

What is inequality?

It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than known as inequality.

It is given that:

The point is (-8, -11)

As we have inequalities shown in the option:

After plotting the inequality in the graph:

From the graph, the point lies in the solution region of the inequality y ≤ (3/2)x-1 which means the point (-8, -11) satisfies the inequality.

Thus, the inequality y ≤ (3/2)x-1 satisfies the point (-8, -11) option (B) y ≤ (3/2)x-1 is correct.

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The telephone company offers two billing plans for local calls. Plan 1 charges $30 per month for unlimited calls and Plan 2 charges $13 per month plus $0.04 per call.

a. Use an inequality to find the number of monthly calls for which Plan 1 is more economical than Plan 2.

b. Explain the meaning of the answer to part a.​

Answers

Answer:

Step-by-step explanation:

The telephone company offers two billing plans for local calls. Plan 1 charges ​$30 per month for unlimited calls and Plan 2 charges ​$15 per month plus ​$0.04 per call.

a. Use an inequality to find the number of monthly calls for which Plan 1 is more economical than Plan 2.

b. Explain the meaning of the answer to part

96240 is divisible by 2,3,5,10 true or false

Answers

True

It's true, 96240 is divisible by 2,3,5,10

Hope this helps!

What can you say about and based on the sum of their angles? How are the angles related?

Answers

Answer: Do you have a picture of the problem so it will be more sense?

Step-by-step explanation:


Write a coordinate proof to prove that Δ A B C is an isosceles triangle if the vertices are A(0,0), B(a, b) , and C(2 a, 0) .

Answers

An isosceles triangle is one with two equal-length sides. ΔABC is an isosceles triangle.

What is the distance between two points ( p,q) and (x,y)?

The shortest distance (length of the straight line segment's length connecting both given points) between points ( p,q) and (x,y) is:

D = √[(x-p)² + (y-q)²] units.

Given that the coordinates of the vertices of the triangle are A(0,0), B(a, b), and C(2a, 0). Now, to prove that the given triangle is an isosceles triangle we need to find the length of each side of the triangle.

AB = √[(x₂-x₁)² + (y₂-y₁)²]

     = √[(a - 0)² + (b - 0)²]

     = √(a² + b²)

BC = √[(x₂-x₁)² + (y₂-y₁)²]

     = √[(2a - a)² + (0 - b)²]

     = √(a² + b²)

AC = √[(x₂-x₁)² + (y₂-y₁)²]

     = √[(2a - 0)² + (0 - 0)²]

     = √4a²

     = 2a

Since the length AB and BC are the same, while the length of AC is different, therefore, ΔABC is an isosceles triangle.

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The table shows the elevation above sea level of the lowest and highest points in the United States.
Location
Death Valley
Mount McKinley/Denali
Elevation Above Sea Level (feet)
-282
20,310
Choose three correct statements.
A. Death Valley is -282 feet below sea level.
B. Death Valley is 1-2821 feet below sea level.
C. Death Valley is 1-2821 feet above sea level.
D. Mount McKinley/Denali is 120, 310| feet below sea level.
E. Mount McKinley/Denall is-120, 3101 feet below sea level.
F. Mount McKinley/Denali is 1-20, 3101 feet above sea level.

Answers

Location Death Valley, Mount McKinley/Denali Elevation Above Sea Level (feet), then the statement B , statement E , statement F are correct.

Death Valley is |-282| feet below sea level. Mount McKinley/Denali is |-20, 310| feet below sea level.Mount McKinley/Denali is |-20, 310| feet above sea level.

These three statements are correct.

The table shows the elevation above sea level of the lowest and highest points in the United States.

Location Death Valley

Mount McKinley/Denali

Elevation Above Sea Level (feet)

So, we can write,

Death Valley is |-282| feet below sea level.Mount McKinley/Denali is |-20, 310| feet below sea level.Mount McKinley/Denali is |-20, 310| feet above sea level.

You are subtracting the two numbers. Note however, that 282 feet below the sea level = -282

Subtract.

⇒ 20310 - (-282)

Note that two negatives = one positive

⇒ 20310 + 282

⇒ 20592 feet

Therefore, The statement B , statement E , statement F are correct.

Hence,

Death Valley is |-282| feet below sea level. Mount McKinley/Denali is |-20, 310| feet below sea level.Mount McKinley/Denali is |-20, 310| feet above sea level.

These three statements are correct.

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Write a relationship for a function whose hx values are 6 less than the cube of x

Answers

The mathematical expression from the algebraic expression is a x^3 - 6.

According to the statement

We have to find that the expression of the statement in the mathematical form.

So, For this purpose, we know that the

An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.

From the given information:

The hx values are 6 less than the cube of x

Then

To convert into the mathematical form:

The cube of the x is in the mathematical form is a x^3

Then

And the 6 less than the cube

And in the mathematical form it becomes the

x^3 - 6.

So, The mathematical expression from the algebraic expression is a x^3 - 6.

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Tyrone needs 50 volunteers for a concert.
Tyrone has 20% more volunteers than
he needs. Tyrone assigns 15% of the total
volunteers to the stage area. How many
volunteers does Tyrone assign to the
stage area?

Answers

Answer:

go

Step-by-step explanation:

i don't understand this shirty app

Answer: 9

Step-by-step explanation:

20% of 50 is 10. So, he has a total of 60 volunteers. He uses 15% of that for the stage area, and 15% of 60 is 9. So, Tyrone assigned 9 volunteers to the stage area.

What is the value of this product

Answers

Answer:

The value of the product is 2²

Evaluate x³ for x = 2.
06
02
08

Answers

Answer:

8

Step-by-step explanation:

x³; x = 2

2³ or 2 × 2 × 2 = 8

I hope this helps!

Answer is 8, because you multiply 2 by 3 times since there is a “3” exponent

Jan and Dinah both ran for 20 seconds, each at a constant speed. Jan ran 50 mefers and Dingh ran 60 meters. 1. Who was moving faster? Explain how you know. 2. How far did each person move in 1 second?

Answers

By calculating speed of each person we can find who is faster.

What is Speed?

Speed can be defined as the distance covered with respect to time. It is a scalar quantity. It is calculated as follows

Speed  = Distance / Time taken

The time taken by each person is 20 seconds.

Distance covered by Jan = 50 meter

Speed of Jan = Distance / Time taken

Speed of Jan = 50 / 20

Speed of Jan = 2.5 meters per second

Distance covered by Dingh = 60 meter

Speed of Dingh = Distance / Time taken

Speed of Dingh = 60 / 20

Speed of Dingh = 3 meters per second

Since the speed of Dingh is more than Jan, we can say that Dingh is faster.

Distance = Speed × Time taken

Here, time taken = 1 second

This implies Distance Covered = Speed

Therefore, Jan covers 2.5 meters in one second while Dingh covers 3 meters in one second.

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Square root of 9 =3=3=3 and 1 half + 1 half

Answers

Nah the square root of 9 is 3

how do i subtract inteargers

Answers

Answer:

You remove the difference between the two numbers from each other. E.g., 5-2=3, and 6-4=2.

Step-by-step explanation:

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