Mathematics High School

Graph XY with endpoints X(−3, 1) and Y(4,−5) after the composition. Translation: (x, y)→(x, y+2) Rotation: 90° about the origin

Answers

Answer 1

Answer:

X’ is (3,3) and Y’ is (-3,-4)

Step-by-step explanation:

Here, we want to get the coordinates of the point XY after translation and rotation about the origin at 90 degrees

X (-3, 1 ) and Y (4,-5)

Using the translation we have

(-3, 1 + 2) and (4, -5 + 2)

= (-3,3) and (4 , -3)

Rotation about the origin, we have

(x , y) = (y , -x)

So the new set of points will be:

(3,3) and (-3, -4)

Answer 2

Transformation involves changing the position of a point or line or shape.

See attachment for the graph of X"Y"

The endpoints are given as:

[tex]\mathbf{X = (-3,1)}[/tex]

[tex]\mathbf{Y = (4,-5)}[/tex]

A translation of [tex]\mathbf{(x,y) \to (x,y+2)}[/tex] means that:

[tex]\mathbf{X' = (-3,1+2)}[/tex]

[tex]\mathbf{X' = (-3,3)}[/tex]

[tex]\mathbf{Y' = (4,-5 + 2)}[/tex]

[tex]\mathbf{Y' = (4,-3)}[/tex]

A 90 degrees rotation about the origin is:

[tex]\mathbf{(x,y) \to (y, -x)}[/tex]

So, we have:

[tex]\mathbf{X" = (3, 3)}[/tex]

[tex]\mathbf{Y" = (-3, 4)}[/tex]

See attachment for the graph of X"Y"

Related Questions

find the value of x. round the length to the nearest tenth. PLZ HELP ME.

Answers

Answer:

x ≈ 7.9 ft

Step-by-step explanation:

cos∅ = adjacent over hypotenuse

Since we are dealing with a right triangle, we can use trigonometry to help us solve for missing values:

cos44° = x/11

11cos44° = x

x = 7.91274

x ≈ 7.9 ft

Solve the equation. Select all that apply.

x2 = 121

Answers

Answer:

x = ±11

Step-by-step explanation:

Step 1: Write equation

x² = 121

Step 2: Solve for x

Square root both sides: x = ±11

Step 3: Check

Plug in x to verify it's a solution.

(-11)² = 121

121 = 121

11² = 121

121 = 121

|6 - 3| simplify this answer please

Answers

Answer:

Step-by-step explanation:

the bracket just makes it a positive number so if it was 3-6 then it would still be 3 because of brackets

Explain why water wet glass but mercury does not

Answers

When liquid water is confined in a tube, its surface (meniscus) has a concave shape because water wets the surface and creeps up the side. Mercury does not wet glass - the cohesive forces within the drops are stronger than the adhesive forces between the drops and glass.

⚠️PLEASE HELP⚠️

1. A 16 oz box of cereal for $3.36 or a 24 oz box for $5.52

2. 3 lbs. of ground beef for $3.87 or 5 lbs. for $6.25 EUS

3. A package of 18 pens for $6.84 or a package of 30 for $8.40

4. A 16 oz can of soup for $1.99 or a 24 oz can for $3.99 es des

5. A 14 oz bottle of ketchup for $1.69 or a 12 oz bottle for $1.29 orations

6. A package of 3 batteries for $4.80 or a package of 12 for $14.76 le Drive

7. A 7 lb. bag of dog food for $10.92 or a 10 lb bag for $12.99

Answers

Answer:

Step-by-step explanation:

nvhnyhrn uk s*d

What is the value of x?

Answers

Answer:

x = 98

Step-by-step explanation:

x = 53 + 45

x = 98

note: the measure of an ext. angle of a triangle is equal to the sum of the two non-adjacent interior angles.

Answer:

sum of angle in this triangle = 180

180-(53+45) = 82

so, the third angle is 82 degrees.

moving forward, the third angle (82 degrees) and angle x are straight line angle,

therefore, x + 82 = 180

x =180-82

x=98

Given f(x)=-3x+2, solve for x when f(x)=-1

Answers

Answer:

-1

Step-by-step explanation:

(3 * -1) +2

The answer is 5
-3(-1) + 2
3+2=5

If a point (x,y) is rotated 90 degrees counterclockwise around the origin, what will the resulting coordinate be?

Answers

Answer:

Step-by-step explanation:

90 degrees clockwise will result in a (+,+) answer.

90 degrees counterclockwise will result in a (-,+) answer.

Think of your quadrants.

Quadrant 1 the answer will be (+,+)

Quadrant 2 the answer will be (-,+)

Quadrant 3 the answer will be (-,-)

Quadrant 4 the answer will be (+,-)

It all depends where you are starting, so if you have to go counter clockwise from the third quadrant, your answer will be a coordinate that is (+,-).

I wish you would have shared more information, but I hope this helps.

Answer:

(a) AB

Step-by-step explanation:

Given that f(x)=2x-1, find f(3)

Answers

Answer:

Step-by-step explanation:

Put 3 where x is and do the arithmetic.

f(x) = 2x -1

f(3) = 2·3 -1 = 6-1

f(3) = 5

Simplify the following expression: NEEED HELP PLLZ:(

2x − 8y + 3x2 + 7y − 12x

A 3x2 − 14x − y

B 3x2 − 10x − y

C 3x2 − 10x − 15y

D 3x2 + 10x − y

Answers

Step-by-step explanation:

I'm pretty sure that it is C.3x2-10x-15y

3/4 (m - 500) = 8000 + 4000

Answers

Answer:

m= 16500

Step-by-step explanation:

You're welcome :)

Emma is saving to buy a video game console that costs $249. She already saved $60 and plans to save $22 per week. After how many weeks will she have saved enough money for the video game console?

Answers

Answer: about 8.6 weeks

Step-by-step explanation:

Right how do we write 10 hundredths in standard form

Answers

Answer:

Thus, ten hundredths in standard form (or standard notation) is 0.1. We call it 'one-tenth', it's a small number of less than 1.

Step-by-step explanation:

Hope this Helps

Answer:

0.1

that is 10 hundredths in standard form

y = .5(x-2) 21
I need help with this problem

Answers

Answer:

x=2

Step-by-step explanation:

Substitute y=0 0=0.5(x-2) 21

multiply the numbers 0=10.5(x-2) *(21x0.5)

remove the parenthesis 0=10.5x-21

move the variable -10.5x=-21

divide both sides by -10.5

solution x=2

A calculator screen shows a number in scientific notation as 1.16E‒7. Write this number in standard form.

Answers

Remember from now on :

E = 10

Let's solve now....

[tex]1.16 \times {10}^{ - 7} = [/tex]

[tex]116 \times {10}^{ - 9} = [/tex]

[tex]0.000000116[/tex]

_________________________________

And we're done.

Thanks for watching buddy good luck.

♥️♥️♥️♥️♥️

help lol please i don’t know which one it is

Answers

Answer:

I think your correct

Step-by-step explanation:

On-the-Go Phone Company has two monthly plans for their customers. The EZ Pay Plan costs $0.20 per minute. The 40 to Go Plan costs $45 per month plus $0.15 per minute. Write an expression that represents the monthly bill for x minutes on the EZ Pay Plan.

Answers

Answer:hmm

Step-by-step explanation:

Please help. ghfhgndgvhnhfbj.

Answers

Answer:

Step-by-step explanation:

i think

hope ts helps

Answer:

190

Step-by-step explanation:

I am so sorry but I dont know how to explain it. I am so sorry.

I give brainlist to answer first

Answers

Answers:

1. A

2.B

3.C

4.C

Step-by-step explanation:

Thats all i could answer for now

hope this helped!

an object is moving at a speed of 4 yards every 6.5 days. express this speed in centimeters per minute. round your answer to the nearest hundredth

Answers

Answer:

0.0390cm/min

Step-by-step explanation:

We are expected to do a unit conversion here.

let us convert days to minutes first

6.5days to minutes

1 day has 1440miuntes

6.5 days has x minute

cross multiply we have

x=6.5x1440

x=9360minute

let us convert yards to cm

1 yard to 91.44 cm

4 yards has xcm

cross multiply we have

x=4x91.44

x=365.76cm

the speed in cm per mins is

speed=365.76/9360m

speed=0.0390cm/min

Answer: 0.04

Step-by-step explanation:

PLS HELP ME. WILL GIVE BRAINLYNESS TO FIRST AND CORRECT ANSWER.

Answers

Answer: A = 379.94

Step-by-step explanation:

first round 11.3 to 11

11^2=121

121x3.14=379.94

A = 379.94

Answer:I got 380.13 hopes this helps

Step-by-step explanation:

What is 0.08 as a percentage?

Answers

eight percent is the answer 8%

Answer:8% this is the answer

An automobile manufacturer is preparing a shipment of cars and trucks on a cargo ship that can carry 21,600 Tons. The cars weigh 3.6 tons each and the trucks weigh 7.5 tons each. For a different shipment, cars are loaded first, and then trucks are loaded afterwards. Write an equation you could enter into a calculator or a spreadsheet tool to find the number of trucks that can be shipped if the number of cars is known. Let x=number of cars (input) and Let y=number of trucks (output)

Answers

Answer:

Number of trucks (y) that can be shipped if the number of cars (x) is known[tex]=\frac{21,600-3.6x}{7.5}[/tex]

Step-by-step explanation:

A cargo ship can carry 21,600 Tons.

Let x denotes number of cars and y denotes number of trucks.

The cars weigh 3.6 tons each and the trucks weigh 7.5 tons each.

Therefore,

[tex]3.6x+7.5y=21,600[/tex]

Now write y in terms of x.

[tex]7.5y=21,600-3.6x\\y=\frac{21,600-3.6x}{7.5}[/tex]

Number of trucks (y) that can be shipped if the number of cars (x) is known[tex]=\frac{21,600-3.6x}{7.5}[/tex]

Question 8
Translate and Solve
Twelve more than seven times a number equals the number less six. What is the answer not equation?

Answers

Answer:

-3

Step-by-step explanation:

12 + 7x = x - 6

7x - x = -6 - 12

6x = -18

x = -3

The translation of the given statement is 12 + 7n < 6.

What is inequality ?

Inequality is a form of comparing two non equal quantities.It has four types less than, less than or equal to and greater than, greater than equal to.

According to the given question we have to translate a given statement into a numerical expression.

Given, Twelve more than seven times a number equals the number less six.

Let the number be denoted by 'n'.

Twelve more than 7 times a number is 12 + 7n is less than 6.

12 + 7n < 6.

7n < 6 - 12

7n < -6

n < -6/7.

learn more about inequality here :

https://brainly.com/question/20383699

#SPJ2

A car travels 11km in 12minutes.If the speed remains the same,how far will it travel in 3hours 48minutes?

Answers

Answer:

209km

Step-by-step explanation:

3hr 48min=228min

228÷12=19

11×19=209km

find the slope, m and y-intercept of the line y=4x

Answers

Answer:

The answer is m=4

Step-by-step explanation:

Although it may not look like it this equation is in slope-intercept form. The slope-intercept form of a linear equation is:

y = m x + b

Where m is the slope and b is the y-intercept value.

Therefore:

The slope is:

m = 4

The y -intercept is: b = 0 or ( 0 , 0 )

The slope of the line is 4 and the y-intercept is 0.

We are given that;

Line equation y=4x

Now,

The slope-intercept form of a linear equation is y = mx + b, where m is the slope and b is the y-intercept.

To find the slope and y-intercept of the line y = 4x, we can compare it with the slope-intercept form and identify the values of m and b.

In this case, m = 4 and b = 0.

So, the slope of the line is 4 and the y-intercept is 0.

This means that the line passes through the origin (0,0) and rises 4 units for every 1 unit it moves to the right.

Therefore, by slope answer will be 4 and 0.

Learn more about slope here:

https://brainly.com/question/2503591

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the value of x is the ____ degrees , and the value of y is ____ degrees.

Answers

Answer:

x = 112 y = 68

Step-by-step explanation:

Find the distance between (9,2) and (5,9)

Answers

Answer:

√ 65

Step-by-step explanation:

Use the distance formula to determine the distance between two points.

Exact Form:

√ 65

Decimal Form:

8.06225774 …

Andy rode his bicycle 2
3
miles on Monday and 1
10
miles on
Tuesday

Answers

He rode 33 miles your welcome

Answers

28
4 (side of the square) x 7

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