What are the new coordinates of a point (x, y) that is rotated 270°C ?

Answers

Answer 1

90°  rotation in clockwise direction.

What is coordinates ?

Coordinates are a pair of integers (Cartesian coordinates), or sporadically a letter and a number, that identify a certain place on a grid, also referred to as a coordinate plane. The x axis (horizontal) and y axis are the two axes that make up a coordinate plane (vertical).

The formulae for finding the new coordinates are given by

x' = x cosθ - y sinθ

y' = x sinθ + y cosθ

Substituting θ = 270

x' = x cos270° - ysin270°  = x(0) - y( -1) = y

y' = x sin270° + y cos270° = x(-1) + y( 0) = x

New coordinates are ( y , -x)

270° rotation in anti-clockwise direction is same as   360 -270 = 90° rotation in clockwise direction.

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Related Questions

What integers or number should be added to -5 to get 4?

Answers

Answer:

Here,

x+(-5) = 4

x = 4+5

x = 9

Therefore, 9+(-5) = 4


State whether the sentence is true or false. If false, replace the underlined word or number to make a true sentence.
If ∠ 1 ≅ ∠ 5 , then lines p and q are skew lines.

Answers

The statement "If ∠ 1 ≅ ∠ 5 , then lines p and q are skew lines" is false because "If ∠ 1 ≅ ∠ 5 , then lines p and q are parallel lines"

Given,

The statement " If ∠ 1 ≅ ∠ 5 , then lines p and q are skew lines"

Here,

Two lines are cut by a transversal.

If ∠ 1 ≅ ∠ 5  we can say that two parallel line cut by transversal and both are corresponding angles

So,  If ∠ 1 ≅ ∠ 5 , then lines p and q are parallel lines

Hence, the statement "If ∠ 1 ≅ ∠ 5 , then lines p and q are skew lines" is false,  because "If ∠ 1 ≅ ∠ 5 , then lines p and q are parallel lines"

The complete question is :

State whether the sentence is true or false. If false, replace the underlined word or number to make a true sentence.

If ∠ 1 ≅ ∠ 5 , then lines p and q are skew lines.

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What plane contains points E, F, and H?

Answers

Plane EFH contains those points.

Greetings from Brasil...

Just take the cross product of the vectors EF and EH. The result will be a vector n. This vector (n) will help in the equation of the plane

vector EF = point F - point E

vector EH = point H - point E

check the attachment

according to the example in the annex, we notice that the points E, F and G are in the plane whose equation will be:

π : 6X + 9Y + 5Z + 1 = 0


Identify the pattern and find the next three terms. 10,8,6,4,2,0, ...........

Answers

Answer:

The next three terms is -2,-4,-6

The fourth-grade class donated 750 bottles of water for a 5K run. After the run, there were 89 bottles left. How many bottles of water did the runners drink?

Answers

Answer:

The runners drank 661 bottles of water.

Step-by-step explanation:

Subtract 661 from 750, and you are left with 89.

1b. Ralf gives $2 to Susie. Calculate the new ratio Ralf's money: Susie's money. Give your answer in its simplest form.​

Answers

Answer:

2$!$! jdnznwi bdbejsn uebeij737 y

What is the inverse function of f(x) = x^3 + 5?

Answers

Answer:

f^-1 (x)= ^3√(x-5)

Step-by-step explanation:

the inverse of this function would be ^3 and x-5 inside the radical

Check out the attached photo


Write the specified proof for following theorem.
Theorem 10.7, two-column proof

Answers

The ray, line, or line segment that divides an angle into two congruent angles is known as an angle bisector.

What are two column proofs used for in geometry?

There are 4 important elements to notice about two-column proofs.

1) The first column exists utilized to write math statements.

2) The second column exists utilized to write the reasons you make those statements.

3) The statements are numbered and follow a logical order.

What is meant by angle bisector?

The angle bisector theorem in geometry is concerned with the relative lengths of the two segments of a triangle's side that are divided by a line that bisects the opposite angle. It compares their lengths to the lengths of the other two sides of the triangle.

The ray, line, or line segment that divides an angle into two congruent angles is known as an angle bisector.

Let CB bisects [tex]\angle[/tex] ABD and [tex]\angle[/tex] ACD

[tex]\angle[/tex] ABC[tex]\angle[/tex] DBC (Definition of angular bisector)

[tex]\angle[/tex] BC [tex]\angle[/tex] BC  (Reflexive Property)

[tex]\angle[/tex]  ACB[tex]\angle[/tex] DCB (Definition of angular bisector)

[tex]\triangle[/tex] ABC[tex]\triangle[/tex] DBC (ASA)

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Seaborgium-266 has a half-life of 30 seconds. how many half-lives will pass in 30 minutes?

Answers

Seaborgium-266 will have 60 half life in 30 minutes.

It is given in the question that Seaborgium-266 has a half life in 30 sec.

Since half life is given in seconds , convert 30 min in seconds .

1 min= 60 sec

so 30min= 30*60 sec

30 min= 1800 sec.

According to the question

30 sec = 1 half life

1 sec = 1/30 half life

For 1800 sec

[tex]1800 sec = 1800*\frac{1}{30}[/tex] half life

=60 half life

Therefore , Seaborgium-266 will have 60 half life in 30 minutes.

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∠E and ∠F are supplementary. If m∠E=9x-38 and m∠F=2x+42. find m∠f=

Answers

Answer:

The measure of angle F is 74°.

Step-by-step explanation:

[tex]9x - 38 + 2x + 42 = 180[/tex]

[tex]11x + 4 = 180[/tex]

[tex]11x = 176[/tex]

[tex]x = 16[/tex]

For angle F: 2(16) + 42 = 32 + 42 = 74°

Which of the following is not a step that can help you establish and maintain a good credit history?
a. Open a bank account.
b. Purchase a cell phone contract and pay it on time and in full every month.
c. Make car payments and car insurance on time.
d. Open many credit card accounts.
e. All of the above steps help establish good credit history.

Answers

Answer:

e, all of the above steps help establish good credit history

Step-by-step explanation:

Answer: E.

Hope this helps.

Ms.Nishino uses Zipcar, a rental car service. She only wants to spend $75.00 each month.ziper charges $25 a month, plus $12.50 per hour of car rental.


Write an equation that could be used to solve for h, the number of hours Ms.Nishino can rent from Ziper each month.

Answers

The equation is 12.50h + 25= 75

The number of hours is 4

How to calculate the number of hours ?

Ms Nishino uses zipcar

She only wants to spend $75 each month

Zip charges $25 a month plus $12.50 per hour of car rental

The equation can be written as follows

12.50h + 25= 75

collect the like terms

12.50h= 75-25

12.50h= 50

h= 50/12.50

h= 4

Hence the number of hours Ms.Nishino can rent from Ziper each month is 4 hours



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Options:

the transitive postulate of inequality

addition postulate of inequality

the transitive postulate of equality

comparison postulate

the multiplication postulate of inequality

the reflexive postulate of equality

the symmetric postulate of equality
Please answer quickly i need help

Answers

The postulate of equality or inequality that is illustrated is the transitive postulate of equality

How to determine the postulate of equality or inequality that is illustrated?

The illustrated expression is given as

If 1/4 + 1/4 = 2/4 and 2/4 = 1/4 then 1/4 + 1/4 = 1/2

In the above expression, we do not have any inequality sign

This means that the expression is an equation i.e. equality

The transitive postulate of equality states that

if a = b and b = c, then a = c

The given equality expression illustrates the transitive postulate of equality

i.e.

If 1/4 + 1/4 = 2/4 and 2/4 = 1/4 then 1/4 + 1/4 = 1/2

if      a = b            and b = c,     then a = c

Hence, the postulate of equality or inequality that is illustrated is the transitive postulate of equality

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What is the least common denominator of 3/4 and 15/16

Answers

The least common denominator of 3/4 and 15/16 is 16.

What is Least Common Denominator?When two or more fractions are given, the least common denominator is the smallest number of all common multiples of the denominators. To find the least common denominator, list the multiples of both denominators until you find the smallest multiple shared by both. Because 28 is the first shared multiple of 4 and 7, it must be the least common denominator of these two fractions.

So, LCD od 3/4 and 15/16:

3/4 × 4/4 = 12/1615/16 × 1/1 = 15/16

Now, the denominator of both the fractions is the same which is 16.

Therefore, the least common denominator of 3/4 and 15/16 is 16.

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Last year, Molly earned $120 babysitting over her holiday break from school. This year, Molly earned $160 babysitting. Comparing the years of babysitting, by what percentage did her earnings increase? Round your answer to the nearest whole number.
A. 25%
B. 42%
C. 37%
D. 30%
E. 33%

Answers

Molly's earning increased by 25%

How to calculate the percentage increase ?

Percentage increase formula is

Increase/ original value × 100

The first step is to calculate the increase by subtracting 120 from 160

160 -120

= 40

Therefore the percentage increase can be calculated as follows

= 40/160 × 100

= 0.25 × 100

= 25

Hence Molly's earnings increased by 25%

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Z#
It is suggested that people that are less than or equal to 18 years of age or greater than or
equal to 50 years of age should be the first to get a flu vaccine. Define a variable and write a
compound inequality to describe this situation.
Vela

Answers

If it is suggested that people of age, less than or equal to 18 years and of age, greater than or equal to 50 years, should be the first to get a flu vaccine, then we can define a variable "A" to the age group suggested to be prioritized for to vaccinate with the flu vaccine, and the compound inequality to describe the situation can be written as [(A ≤ 18) or (A ≥ 50)].

As per the question statement, it is suggested that people of age, less than or equal to 18 years and of age, greater than or equal to 50 years, should be the first to get a flu vaccine.

We are required to define a variable to the age group suggested to be prioritized for to vaccinate with the flu vaccine, and describe the question mentioned situation in the form of a compound inequality.

To start with, let us first determine the variable. It is as simple as assuming any alphabet, say "A", to be the age group, suggested to be prioritized for to vaccinate with the flu vaccine.

Since, suggested that people of age, less than or equal to 18 years should be amongst the the first to get a flu vaccine, thus "A" must be less than equal to 18, i.e., [tex][A\leq 18][/tex]...(1)

Similarly, suggested that people of age, greater than or equal to 50 years should be amongst the the first to get a flu vaccine, thus "A" must be greater than equal to 50, i.e., [tex][A\geq 50][/tex]...(2)

Now, combining (1) and (2), we get our required compound inequality to be [(A ≤ 18) or (A ≥ 50)].

Compound Inequality: In mathematics, a compound inequality is an inequality that combines or "compounds" two simple inequalities with an "or" in the middle.

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COORDINATE GEOMETRY Classify ΔA B C with vertices A(-2,-1), B(-1,3) , and C(2,0) as scalene, equilateral, or isosceles. (Lessan 4-1)

Answers

AB = CA This triangle comprises two sides that are congruent. As a result, it is isosceles.

What is  coordinate system?

A coordinate system is a method of determining the position of points or other geometric components on a manifold, such as Euclidean space, by using single or more numbers, or coordinates.

According to the given information:

Use the Distance Formula to find the lengths of AB ,BC and CA.

AB has endpoints A(–2, –1) and B(–1, 3).

AB = √((x₂ - x₁)² + (y₂ - y₁)²)

Substituting the values we get:

AB = √((-1 - (-2))² + (3 - (-1))²)

     = √((1)² + (4)²)

     = √(1 + 16)

    = √(17)

BC has endpoints B(–1, 3) and C(2, 0).

BC = √((x₂ - x₁)² + (y₂ - y₁)²)

Substituting the values we get:

BC = √((2 - (-1))² + (0 - 3)²)

      = √((3)² + (-3)²)

       = √(9 +9)

       = √(18)

CA = has endpoints C(2, 0) and A(–2,–1).

CA = √((x₂ - x₁)² + (y₂ - y₁)²)

Substituting the values we get:

CA = √((-2  - 2)² + (-1 - 0)²)

     = √((-4)² + (-1)²)

     = √(16 +1)

    =  √(17).

AB = CA. This triangle comprises two sides that are congruent. As a result, it is isosceles.

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Petra jogs 3 miles in 30 minutes. At this rate, how long would it take her to jog 12 miles?

Petra would take
minutes to jog 12 miles.

Answers

Answer:

So she takes around 10 minutes to jog 1 mile. So 12 miles would take her 122 minutes

A suspension bridge has two support towers.
Each tower is 1152 feet from the end of the
bridge. The total length of the bridge is
4036 feet. What is the span between
the towers?

Answers

The span between the towers is 1732 feet.

A suspension bridge has two support towers. Each tower is 1152 feet from the end of the bridge. The total length of the bridge is 4036 feet.

and, find the span between the towers?

Now, According to the question:

The total length of the bridge is 4036 feet.

and, each tower length is 1152 feet

The span between the tower is

=> 4036 -1152 - 1152

= 1732 feet.

Hence, The span between the towers is 1732 feet.

What do towers do on bridges?

A long - span suspension bridge usually has tall towers. The height of the Bridge's towers directs the tensile (pulling) forces in the main cables upward, so that the cables can efficiently do their job of holding up the roadway deck.

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HELP ASAP PLSSSSSSSSSS
Simplify the following expression:

3x − 8y + 2x2 + 3y − 8x

2x2 − 5x − 5y
2x2 −11x − 5y
2x2 −5x − 11y
2x2 −11x −11y

Answers

2x2-5x-5y would be your answer

Look at the expression.

3x  -8y  +2x^2  +3y  -8x

Add up all the x-squareds . . . there are 2 of them

Add up all the Xs . . . 3x - 8x  =  -5x

Add up all the Ys . . .   -8y + 3y  =  -5y

Add up the collection:  2x^2 -5x -5y

The following variable is not one from a binomial setting but the geometric distribution. if the probability anita makes a hit when batting is 0.46, what is the probability that she gets a hit on her 3rd try.

Answers

The probability is 1.38.

Probability is the possibility of an event occurring. We can scale the probability of an event between 0 and 1. 0 refers to an improbable event, and one refers to an event with the highest possibility. The type of probability we will use to solve this problem is the geometric distribution.

The geometric distribution is defined as a discrete probability distribution representing the probability of consecutive failures before success in a Bernoulli trial. There could be only two possible outcomes; either True (1) or False (0).

Bernoulli's trial is an experiment in which we have only two possible outcomes, success or failure. In other words, the geometric distribution repeats Bernoulli trials until it succeeds, then stops. So, achieving success is the ultimate goal and is the point that stops Bernoulli's trials from happening further.

Geometric distribution, the class of probability distributions, is based on three key assumptions, and these assumptions are defined as:

The studies conducted are independent. Each event is independent of the other.

Each attempt has only two outcomes: success or failure. If an event has any other possible output other than 0 and 1, it can not be classified as a Bernoulli trial.

The probability of success, indicated by p, is the same for each trial.

After understanding the concepts stated above now, we will move towards the actual statement of the problem. So, a scenario is given to us that tells us that the variable is from a geometric distribution setting, which means that all of the assumptions for geometric distribution will be applied. The given probability that Anita makes is,

Given = 0.46

So, to find the probability that she will get a hit on her 3rd try, we will add one possibility three times,

p = 0.46 + 0.46 + 0.46

p = 1.38

Or we can also do it like this,

p = 0.46 * 3

p = 1.38

Both ways will provide us with the correct answer.

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The sum of two consecutive integers iS 1. Find the two integers.

Answers

Answer: 0 and 1

Step-by-step explanation:


Write an equation of the line in point-slope form through the pair of points. (9,5) and (8,2)

Answers

The general form of a linear equation is y - y1 = m(x - x1) then the  point-slope form exists y - 5 = 3(x - 9)

What is point-slope form?

The general structure of a linear equation exists y - y1 = m(x - x1). It draws attention to the line's slope and one of the line's points (that exists not the y-intercept).

Given: (x1, y1) = (9, 5) and (x2, y2) = (8, 2)

The point-slope form exists given by,

y - y1 = m(x - x1)

m = (y2 - y1)/(x2 - x1)

substitute the values in the above equation, we get

m = (2 - 5)/(8 - 9)

m = 3

The value of m = 3.

y - 5 = 3(x - 9)

Therefore, the point-slope form exists y - 5 = 3(x - 9).

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-2 - -9 - -2 explain your answer/ show work

Answers

Answer:

9

Step-by-step explanation:

-2- -9 - -2

this means

-2-(-9)-(-2)

then - times - is equal to +so...

-2+9+2

-2+11

9

the final answer is 9

A rock was lowered into a graduated cylinder holding 3ml of water. If the water level rose to 9ml, what is the density of the rock , in g/ cm3 if the mass is 39g

Answers

The density of the rock is 25g.

1ml=1 cc

If the water rose 7 ml−2ml=5ml then the stone had a volume of 5 ml or 5cc

With a mass of 25 g it must have a density of = 25 g

5 cc= 5 g/cc

Density is the substance's mass per unit of volume. The symbol most often used for density is ρ although the Latin letter D can also be used. For example, a block of the heavier element lead (Pb) will be denser than the softer, lighter element gold (Au).

A block of Styrofoam is less dense than a brick. It is defined as mass per unit volume.

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HELP ME so I'm really bad at math patterns anyways Queen Diana slays and I really need help look at the picture and please help me it's a quiz so I'm making lots of Bowl accounts cuz I don't know how to do multiple answers just please y'all please ​

Answers

Answer:

Option 3

Step-by-step explanation:

.........................................................................

Answers

Answer:  [tex]\frac{8}{4}[/tex] = 2

Step-by-step explanation:

5 - 3 = 2

2 x 2 x 2 x 2 = 16

24 - 16 = 8

[tex]\frac{8}{4}[/tex]

Simplify

[tex]\frac{8}{4}[/tex] = 2

Write the slope-intercept form of the equation for each line. Please help me with this one :( Will give 14 pts :) I need it ASAP

Answers

The equation in slope intercept form is y = -4 / 5 x - 8  / 5

How to represent a slope intercept equation?

The slope intercept equation can be represented as follows:

y = mx + b

where

m = slopeb = y-intercept

Therefore, using (-2, 0)(3, -4) let's find the slope

m = -4 - 0 / 3 - (-2)

m = - 4 / 3 + 2

m = - 4 / 5

Hence, the y = mx + b can be defined as follows:

let's find b, the y-intercept using (-2, 0)

y = -4 / 5 x + b

0 = - 4 / 5(-2) + b

0 = 8 / 5 + b

b = - 8 / 5

Therefore, the equation in slope intercept form is y = -4 / 5 x - 8  / 5

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Write an equation in point-slope form for each pair of points. (0,3) and (3,11)

Answers

The equation of point slope form of (1,10) and (5,42) is -2.7x + y - 3 = 0.

How to find the point slope form?

A straight line is represented using its slope and a point on the line using point slope form. In other words, the point slope form is used to determine the equation of a line whose slope is "m" and passes through the point (x1, y1).

given that

the coordinates points are (0,3) and (3,11)

(x1,y1) = (0,3)

(x2, y2) = (3,11)

The formula of point-slope is

(y - y1) = m(x - x1)

Here,

x1 = 0 and y1 = 3 but we don't know the value of m.

now,find the value of m using the following formula

[tex]m = \frac{(y2 - y1)}{(x2 - x1)}[/tex]

now, substitute the values, we get

[tex]m = \frac{(11 - 3)}{(3 - 0)}[/tex]

[tex]m = \frac{8}{3}[/tex]

m = 2.7

so, the value of m is 2.7.

substitute these values into the point-slope formula

(y - 3) = 2.7(x - 0)

y - 3 = 2.7x - 0

-2.7x + y - 3 = 0

Hence, the equation of point slope form of (1,10) and (5,42) is -2.7x + y - 3 = 0.

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For the following system use the second equation to make a substitution for y in the first equation. 2x + y = 6 y = 3x + 4

Answers

Answer:

2x + y= 6 y= 3x +4

Step-by-step explanation:

2x + (3x + 4) = 6(3x + 4)

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The job cost sheets revealed the following costs for April: Job A Job B Job CCost of Jobs in Process, April 1, Current Year $ 12,000 $ 1,000 $ 0Direct Materials Used 2,000 8,000 9,000Direct Labor 10,000 8,000 3,000Applied Manufacturing Overhead ? ? ?Required:If no other jobs were started, completed, or sold, determine the balance in each of the following accounts at the end of April:work in progressfinished goods cost of goods sold Which items below are considered to be achievements of Justinian? 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China developed new financial systems in response to increasingtrade with Arab merchants from the Abbasid Empire.2. Russia was able to exchange goods and services with othercultures farther west.3. The demand for exported sis and Chinese porcelain in Europeand India grew as the Indian Ocean trade grew.4. Thriving cities developed in Asia.5. Guns and gunpowder spread from China to all parts of Eurasia A net force of 34 N is applied to accelerate an object at a rate of 2.5m / (s ^ 2) What is the mass of the object? I would like some assistance on this please A unit of mass of steam is expanded in a cylinder in such a manner that no energy is added or lost as heat. what is this process called? Need help with this please How many seconds would it take to travel 20 miles at an average velocity of (25miles)/(hour)? Evaluate f(-3) for f(x) = 3x + 6Question 1 options:-310030 A cannonball is launched horizontally off a 65 m high castle wall with a speed of 40 m/s. how long will the cannonball be in the air before striking the ground? Transmission of data across satellites is an example of data communication through _____. Which of these lines from "APiece of String" helps set upthe conflict of MatreHauchecome?A. Hauchecome was seized with a sort ofshame to be seen thus by his enemy, pickinga bit of string...B. In the public square of Goderville therewas a crowd... of human beings and animalsmixed together.C. Hauchecome, economical like a trueNorman, thought that everything usefulought to be picked up... A climber whose mass is 51 kg hangs motionless from a rope. what is the tension in the rope? helppp!Read the passage and choose the statement that corrects the error(s) in the passage.When a glass or a watermelon is moved, the volume stays the same. When a liquid is poured into a glass, the volume and the shape change. When gas is used to fill a balloon and the balloon is popped, the volume stays the same. When a glass or a watermelon is moved, the volume stays the same. When a liquid is poured into a glass, the volume stays the same, but the shape changes. When gas is used to fill a balloon and the balloon is popped, the shape and the volume change.When a glass or a watermelon is moved, the volume changes. When a liquid is poured into a glass, the volume and the shape change. When gas is used to fill a balloon and the balloon is popped, the volume stays the same. When a glass or a watermelon is moved, the volume stays the same. When a liquid is poured into a glass, the volume and the shape change. When gas is used to fill a balloon and the balloon is popped, the volume stays the same, but the shape changes. When a glass or a watermelon is moved, the volume stays the same. When a liquid is poured into a glass, the volume stays the same, but the shape changes. When gas is used to fill a balloon and the balloon is popped, the volume stays the same. Given the original statement "If a number is negative, the additive inverse is positive, which are true? Select three options.If p = a number is negative and q = the additive inverse is positive, the original statement is p q.If p = a number is negative and q = the additive inverse is positive, the inverse of the original statement is ~p ~q.If p = a number is negative and q = the additive inverse is positive, the converse of the original statement is ~q ~p.If q = a number is negative and p = the additive inverse is positive, the contrapositive of the original statement is ~p ~q.If q = a number is negative and p = the additive inverse is positive, the converse of the original statement is q