Given Triangle ABC with A(2, 3), B(0, 6), and C(2,6). Write down the coordinates of the image after the following composition; reflection over the line y = -x followed by a rotation of 90 degrees clockwise.

Answers

Answer 1

Answer:

A"( - 3, 2), B"( - 6, 0), and C"( - 6, 2)

Step-by-step explanation:

Rotation of 90° clockwise rule :

(x, y) ----> ( y , - x )

A(2, 3), B(0, 6), and C(2, 6)

A'(- 2, - 3), B'(0, - 6), and C'( - 2, - 6)

A"( - 3, 2), B"( - 6, 0), and C"( - 6, 2)

Given Triangle ABC With A(2, 3), B(0, 6), And C(2,6). Write Down The Coordinates Of The Image After The

Related Questions

Last year Mr Peterson had a fence all the way around his garden. He can reuse all of the fence he had around the garden last year but he needs to buy more fencing to go around this years garden. How many more meters of fencing is needed for this years garden than last years?

Answers

Complete Question:

Last year Mr. Petersen’s rectangular garden had a width of 5 meters and an area of 20 square meters.  This year he wants to make the garden three times as long and two times as wide.  

Last year, Mr. Petersen had a fence all the way around his garden. He can reuse all of the fence he had around the garden last year, but he needs to buy more fencing to go around this year’s garden.  

How many more meters of fencing is needed for this year’s garden than last year’s?

Answer:

26 meters of fencing needed

Step-by-step explanation:

Given

Last Year:

\(Width = 5m\)

\(Area = 20m^2\)

This Year:

\(Length = 3\ times\ longer\)

\(Width = 2\ times\ wider\)

Required

Determine how many more meters is needed

Represent last year's length of Fence with L and last year's width with W

First, we need to calculate L

\(Area = L * W\)

Where

\(Area = 20m^2\)

\(W = 5m\)

\(20m^2 = L * 5m\)

Divide both sides by 5m

\(\frac{20m^2}{5m} = \frac{L * 5m}{5m}\)

\(\frac{20m^2}{5m} = L\)

\(L = \frac{20m^2}{5m}\)

\(L = 4m\)

So, we have that:

For Last Year

\(Length = 4m\) and \(Width = 5m\)

For this year:

\(Length = 3\ times\ longer\)

\(Length = 3 * 4m\)

\(Length = 12m\)

\(Width = 2\ times\ wider\)

\(Width = 2 * 5m\)

\(Width = 10m\)

So, for this year, we have:

\(Length = 12m\) and \(Width = 10m\)

Next, we calculate perimeter of fencing in both years.

\(Perimeter = 2 * (Length + Width)\)

Last Year:

\(Perimeter = 2 * (4m + 5m)\)

\(Perimeter = 2 * 9m\)

\(Perimeter = 18m\)

This Year:

\(Perimeter = 2 * (12m + 10m)\)

\(Perimeter = 2 * 22m\)

\(Perimeter = 44m\)

To get the meters of fencing needed this year, we simply calculate the difference in the calculated perimeters.

\(Difference = 44m - 18m\)

\(Difference = 26m\)

Hence, there are 26 meters of fencing needed

Traffic speed: The mean speed for a sample of cars at a certain intersection was kilometers per hour with a standard deviation of kilometers per hour, and the mean speed for a sample of motorcycles was kilometers per hour with a standard deviation of kilometers per hour. Construct a confidence interval for the difference between the mean speeds of motorcycles and cars at this intersection. Let denote the mean speed of motorcycles and round the answers to at least two decimal places. A confidence interval for the difference between the mean speeds, in kilometers per hour, of motorcycles and cars at this intersection is ________.
Construct the 98% confidence interval for the difference μ 1-y 2 when x 1 475.12, x 2-32134, s 1-43.48, s 2-21.60, n 1-12, and n 2-15. Use tables to find the critical value and round the answers to two decimal places. A 98% confidence interval for the difference in the population means is ________.

Answers

Answer:

Step-by-step explanation:

Hello!

X₁: speed of a motorcycle at a certain intersection.

n₁= 135

X[bar]₁= 33.99 km/h

S₁= 4.02 km/h

X₂: speed of a car at a certain intersection.

n₂= 42 cars

X[bar]₂= 26.56 km/h

S₂= 2.45 km/h

Assuming

X₁~N(μ₁; σ₁²)

X₂~N(μ₂; σ₂²)

and σ₁² = σ₂²

A 90% confidence interval for the difference between the mean speeds, in kilometers per hour, of motorcycles and cars at this intersection is ________.

The parameter of interest is μ₁-μ₂

(X[bar]₁-X[bar]₂)±\(t_{n_1+n_2-2}\) * \(Sa\sqrt{\frac{1}{n_1} +\frac{1}{n_2} }\)

\(t_{n_1+n_2-2;1-\alpha /2}= t_{175; 0.95}= 1.654\)

\(Sa= \sqrt{\frac{(n_1-1)S_1^2+(n_2-1)S_2^2}{n_1+n_2-2} } = \sqrt{\frac{134*16.1604+41*6.0025}{135+42-2} } = 3.71\)

[(33.99-26.56) ± 1.654 *(\(3.71*\sqrt{\frac{1}{135} +\frac{1}{42} }\))]

[6.345; 8.514]= [6.35; 8.51]km/h

Construct the 98% confidence interval for the difference μ₁-μ₂ when X[bar]₁= 475.12, S₁= 43.48, X[bar]₂= 321.34, S₂= 21.60, n₁= 12, n₂= 15

\(t_{n_1+n_2-2;1-\alpha /2}= t_{25; 0.99}= 2.485\)

\(Sa= \sqrt{\frac{(n_1-1)S_1^2+(n_2-1)S_2^2}{n_1+n_2-2} } = \sqrt{\frac{11*(43.48)^2+14*(21.60)^2}{12+15-2} } = 33.06\)

[(475.12-321.34) ± 2.485 *(\(33.06*\sqrt{\frac{1}{12} +\frac{1}{15} }\))]

[121.96; 185.60]

I hope this helps!

a survey has to be taken to estimate the proportion of voters who favored stem cell research among the

Answers

The proportion of voters who favor stem cell research can be estimated by taking a survey and calculating (Number of voters who favor stem cell research / Total Number of voters) x 100.

Proportion of favor stem cell research = (Number of voters who favor stem cell research / Total Number of voters) x 100

In order to estimate the proportion of voters who favor stem cell research, a survey has to be taken. Suppose the survey results indicate that out of a total of 500 voters, 300 of them favor stem cell research. Then, the proportion of favor stem cell research would be calculated as follows: Proportion of favor stem cell research = (300/500) x 100 = 60%. This means that 60% of the total voters favor stem cell research.

The proportion of voters who favor stem cell research can be estimated by taking a survey and calculating (Number of voters who favor stem cell research / +++Total Number of voters) x 100.

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a. Define a relation with four ordered pairs
such that the first element is a university
and the second element is its mascot.

Answers

ajdjdjdjjdjsj kajdjsjs

Write the quotient
6+8i
2i

Answers

The quotient when 6+8i is divided by 2i is given by -3i+4.

We know that, complex number \(i^1=-1\).

Given the divisor is = 2i and dividend is = 6+8i

Dividing the dividend by divisor we get,

(6+8i)/2i = 6/2i + 8i/2i = 3/i + 4 \(=\frac{3i}{i^2}+4\) = 3i/(-1)+4 = -3i+4

Hence the quotient is = -3i+4.

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woman bought 1.8 kg of chicken and 1.6 kg of meat. The chicken cost N5.40 and the meat cost #6.40. If she had bought 2.4 kg of chicken and 2 kg of meat, how much would she have had to pay?

Answers

The amount the women would pay for 2.4 kg of chicken and 2 kg of meat in total is $15.2

What is the unit price?

The meaning of unit price is a price quoted in terms of so much per agreed or standard unit of product or service

Given that, a woman bought 1.8 kg of chicken and 1.6 kg of meat. The chicken cost $5.40 and the meat cost $6.40,

We need to find, if she had bought 2.4 kg of chicken and 2 kg of meat, how much would she have had to pay,

To find the same, we will first find the unit price of each,

Unit price = total price / total quantity

Since, 1.8 kg of chicken costs $5.40,

Therefore, 1 kg will cost = 5.40 / 1.8 = $3

Similarly,

If 1.6 kg of meat costs $6.40,

Therefore, 1 kg will cost = 6.40 / 1.6 = $4

Now, to find the cost of 2.4 kg of chicken and 2 kg of meat, we will multiply the unit prices to the required quantities,

Therefore,

2.4 kg of chicken will cost = 2.4 x 3 = $7.2

2 kg of meat will cost = 2 x 4 = $8

In total, she had to pay = 8+7.2 = $15.2

Hence, the amount the women would pay for 2.4 kg of chicken and 2 kg of meat in total is $15.2

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What’s the correct answer answer asap for brainlist

Whats the correct answer answer asap for brainlist

Answers

Answer: serbia

Step-by-step explanation:

Solve |x + 1| = 3
Question 5 options:

A)

x = 4

B)

x = 3 or x = 2

C)

No solutions

D)

x = –4 or x = 2

Answers

the answer is the letter F

Answer:

D) x = - 4, x = 2

Step-by-step explanation:

\( |x + 1| = 3 \\ \\ x + 1 = \pm \: 3 \\ \\ x + 1 = 3 \: or \: x + 1 = - 3 \\ \\ x = 3 - 1 \: or \: x = - 3 - 1 \\ \\ x = 2 \: or \: x = - 4 \\\\

x = - 4, \: x = 2\)

express this formula as a probabilistic relationship between poisson and gamma random variables. math.stackexchange

Answers

The gamma as well as Poisson distributions have an intriguing link. For each x, P(X x) = P(Y x), (1) where Y Poisson(x/), if X is a gamma(x, y) random variable and x is an integer.

What does the word "Poisson" mean?

The probability density function f(x)=e−μμxx!, which approximates the binomial distribution and is frequently employed as a mathematical model of something like the number of outcomes acquired in an appropriate period of time and space, has a mean equal to its variance.

What is the purpose of Poisson?

A Poisson distribution can be used to forecast or explain how many events will take place over a specific period of time or space. "Events" might include anything from illness occurrences towards to customer purchases to meteor strikes. Any defined period of time or area, such as 10 days or 5 square inches, can be used as the interval.

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Does this procedure describe a completely randomized design for this experiment?

Answers

Answer:

Yes

Step-by-step explanation:

Which number is a counterexample to the following statement? All numbers that are divisible by 2 are divisible by 4.

A. 0
B. 12
C. 28
D. 42

Answers

Using divisibility concepts, a counterexample to the statement is given by option the number 42, option D.

-------------

If the remainder of the division of A by B is 0, it is said that A is divisible by B.

-------------

In option A, 0 is divisible by both 2(0/2 = 0) and 4(0/4 = 0), so it is not a counterexample.In option B, 12 is divisible by both 2(12/2 = 6) and 4(12/4 = 3), so it is not a counterexample.In option C, 28 is divisible both by 2(28/2 = 14) and 4(14/2 = 7), so it is not a counterexample.In option D, 42 divided by 4 is 10 with a remainder of 2, thus 42 is not divisible by 4, being a counterexample to the statement.

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the volume of a pyramid is given by the formula V=1/, where B is the area of the base and h is the height?

Answers

Answer:

Step-by-step explanation:

The volume of this pyramid in cubic inches is 16.

Given that,

The base and height is 8 and 6.

Based on the above information, the calculation is as follows:

The volume is

= 16

FIRST RIGHT ANSWER GETS BRAINLIEST!!!!
Madison Middle School spends $750 per year on club activities. They spend at least twice that amount on after-school activities. Write an inequality that represents how much they spend on after-school activities.

Answers

I dont know how to write this on my phone but its 1500<, except the arrow has the line under it to represent at least.

Answer:

x ≥ 1500

Step-by-step explanation:

Multiply the product

(m+3)(m-3)

Answers

I think this is it…hope it helps
Multiply the product(m+3)(m-3)

Answer:

The answer to (m+3)(m-3) is m^2-9.

Step-by-step explanation:

We will use distributive law to solve this question.

m(m-3)+3(m-3)

= m^2-3m+3m-9

= m^2-9 (since, 3m-3m=0)

As an alternative method, we can use the direct rule learned in algebra: (a+b)(a-b)=a^2-b^2.

so, here a=m and b=3.

(m+3)(m-3)

=m^2-3^2

=m^2-9

solve the following inequality |2x-6|<10

Answers

Answer:

Absolute Value Inequality entered :      |2x-6|<10 

Step by step solution :STEP 1:Rearrange this Absolute Value InequalityAbsolute value inequalitiy entered      |2x-6| < 10 STEP 2:Clear the

Absolute Value BarsClear the absolute-value bars by splitting the equation into its two cases, one for the Positive case and the other for the Negative case.

The Absolute Value term is |2x-6| For the Negative case we'll use -(2x-6) For the Positive case we'll use (2x-6) STEP 3:Solve the Negative Case      -(2x-6) < 10      Multiply      -2x+6 < 10      Rearrange and Add up      -2x < 4      Divide both sides by 2       -x < 2      Multiply both sides by (-1)      Remember to flip the inequality sign       x > -2    
  Which is the solution for the Negative Case

STEP 4:Solve the Positive Case      (2x-6) < 10      Rearrange and Add up      2x < 16      Divide both sides by 2       x < 8      Which is the solution for the Positive Case

STEP 5:Wrap up the solution    -2 < x < 8 Solution in Interval Notation    (-2,8) Solution on the Number Line

One solution was found :    -2 < x < 8

Step-by-step explanation:

mark me brainliest!!

Tina's Treats charges a $4.35 fee for each delivery. Which table best represents the relationship between f, the amount made from the delivery fee, and d, the number of deliveries made in a day?

Answers

Answer:

Is there any answer choices? If not I would think its 5$

                                                                                      5$

                                                                                      4$

Step-by-step explanation:

hi please help! ill give u a good 5 starz :)

hi please help! ill give u a good 5 starz :)

Answers

Answer:

Option C and D!

Step-by-step explanation:

Option C because:-

When 9 is placed in the box after 7, we get:-

7 ÷ 9 = \(\frac{7}{9}\) which is correct!

7 ÷ 9 can also be written as \(\frac{7}{9}\). So, this Option is right since the equation is correct when 9 is placed in the box!

Option D is also correct because,

When we place 9 in the box before \(\frac{1}{9}\), we get:-

9 ÷ \(\frac{1}{9}\) = 81

9 ÷ \(\frac{1}{9}\)  equals 9 x 9 (take the reciprocal of \(\frac{1}{9}\))

9 x 9 equals 81 which means the equation is correct when 9 is placed in the box!

c and d are the correct answers !

What is the approximate area of the circle shown below

What is the approximate area of the circle shown below

Answers

Area of circle= pi r^2
We don’t have the radius so to find it we divide the diameter by 2
70/2= 35
A=pi 35^2
=3849.9in^2
Or choice B

Answer:

the approximate area of corcle is 3848

\(diameter = 70in \\ radius = \frac{70}{2} \\ = 35in \\ area = \pi \: r {}^{2} \\ = \pi \: 35 {}^{2} \\ = 3848.45in {}^{2} \)

Find the area of the shaded region?
3x + 1
3x + 1

Answers

im pretty sure its 3x + 1

Round 51.78 to the greatest place

Answers

Answer:

51.78 is rounded to 52

Answer:

it would be rounded up to 52

! 20 points to those who give me the answer!
The surface area of two similar figures are given. The volume of the larger figure is given. Find the volume of the smaller figure.
S.A (Smaller figure) = 567
S.A (Larger figure) = 1575
V (Larger figure) = 2500

! 20 points to those who give me the answer!The surface area of two similar figures are given. The volume

Answers

Answer:

1575 is the answer

Step-by-step explanation:

a gas tank which can hold a total of 41 liters contains only 5 liters of gas when the driver stops to refuel. If it takes 3 minutes to fill up the tank, what is the rate in liters per minute

Answers

Answer:

12 liters per minute.

Step-by-step explanation:

41litres-5litres=36

If 36litres are filled up within 3 min,how many litres will be filled within 1 min

1/3×36=12

=12 litres per min

Borrowed N$20000 AT 5% for three and half years. she wants to pay N$8000 ON MATURITY . TO ACHIEVE THIS SHE IS PLANNING TO PAY 2000 IN 10 MONTHS, AND 5000 IN 16 MONTHS FROM NOW. HOW MUCH SHOULD SHE PAY IN TWO AND HALF YEARS FROM NOW TO MEET HER OBLIGATION?

Answers

She needs to pay N $8378.31 in two and a half years from now to meet her obligation.

What are the basic arithmetic operations?

The four basic mathematical operations are Addition, subtraction, multiplication, and division.

Let's first calculate the total interest on the loan for three and a half years:

Interest = Principal × Rate × Time

Interest = 20000 × 0.05 × 3.5

Interest = 3500

So, the total amount she needs to pay back on maturity is:

20000 + 3500 = N$23500

Now, let's subtract the amount she plans to pay in the next 10 months and 16 months:

N$23500 - N$2000 - N$5000 = N$16500

So, she needs to pay N$16500 in two and a half years from now to meet her obligation.

Alternatively, we can also calculate the present value of the remaining payments using the formula for present value of an annuity:

PV = \(PMT \times (1 - (1 + r)^{(-n)}) / r\)

where PV is the present value, PMT is the payment amount, r is the interest rate per period, and n is the number of periods.

Using this formula, we get:

PV = \(2000 \times (1 - (1 + 0.05/12)^{(-10})) / (0.05/12) + 5000 \times x (1 - (1 + 0.05/12)^{(-16)}) / (0.05/12)\)

PV = N$13658.80

So, the amount she needs to pay in two and a half years from now to meet her obligation is the present value of the remaining payments:

PV = \(PMT \times (1 + r)^{(-n)}\)

N$13658.80 = \(PMT \times (1 + 0.05/12)^{(-30)}\)

PMT = N$8378.31

Hence, she needs to pay N$8378.31 in two and a half years from now to meet her obligation.

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What is the total length of all meteors that are 1 6/8 inches?
3 4/8
3 5/8
4 7/8
3 7/8

Answers

Anwser: Hitler was the first person to get a 100 bomb IRL

Explenation: Took me 900 years to figure this out

solve the inequality 1/3h≤7

Answers

Answer:

h ≤ 21

Step-by-step explanation:

Simply just divide both sides by 1/3 to isolate x and you should get your answer!

Answer:

h ≤ 21

Step-by-step explanation:

1/3h ≤ 7

Multiply 1/3 on both sides of the inequality.

1/3(1/3h) ≤ 1/3(7)

h ≤ 1/3(7)

Reciprocal 1/3.

h ≤ 7(3/1)

h ≤ 21

QUESTION IN PICTURE

Please explain your answer in steps, thank you.

QUESTION IN PICTUREPlease explain your answer in steps, thank you.

Answers

We can complete the blanks with the following ratios:

(7.5 mi/1) * (1 mi/ 5280 ft) * (400ft/1 yd) * (3 ft/1 ft) =33 flags

Since we do not need a flag at the starting line, then 32 flags will be required in total.

How to obtain the number of flags

To solve the problem, we would first convert 400 yds to feet and miles.

To convert to feet, we multiply by 3. This gives us: 400 yd * 3 = 1200 feet.

To convert to miles, we would have 0.227 miles.

Now, we divide the entire race distance by the number of miles divisions.

This gives us:

7.5 mi /0.227 mi

= 33 flags

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Solve for x. Round to the nearest tenth, if necessary.
X
H

Solve for x. Round to the nearest tenth, if necessary.XH

Answers

In this problem we are given an angle and two sides. Therefore, we should use a trigonometric function to solve for x.

Trigonometric Functions: SOH-CAH-TOA

Looking from the 23 degree angle, we have the adjacent side and the opposite side. Therefore, we should use the tangent function.

tan(23) = x / 2

x = tan(23) * 2

x = 0.8489

x = 0.8

Hope this helps!

Step-by-step explanation:

ATTACHED IS THE SOLUTION!
Solve for x. Round to the nearest tenth, if necessary.XH

what is the value of 2.57 1.75

Answers

Answer:

2.57 - 1.75 = 0.82

Step-by-step explanation:

Let us assume that we need to find the value of 2.57 - 1.75 i.e. we need to subtract 1.75 from 2.57. It can be done as follows :

The first number is 2.57 and other no is 1.75.

In 2.57, 2 is in ones place, 5 is in tenths place and 7 is in hundredths place.

In 1.75, 1 is in ones place, 7 is in tenths place and 5 is in hundredths place.

Subraction :

  2.57

-  1.75

= 0.82

Hence, the value of 2.57 - 1.75 is 0.82

A washer and a dryer cost $857 combined. The washer costs $93 less than the dryer. What is the cost of the dryer?

Answers

Answer:

Dryer cost $475;  Washer cost $382

Step-by-step explanation:

For this problem, we will simply set up a system of equations to find the value of each the washer (variable x) and the dryer (variable y).

We are given the washer and dryer cost $857 together.

x + y = 857

We are also given that the washer cost $93 less than the dryer.

x = y - 93

So to find the cost of the dryer, we simply need to find the value of y.

x + y = 857

x = y - 93

( y - 93 ) + y = 857

2y - 93 = 857

2y = 950

y = 475

So now we have the value of the dry to be $475.  We can check this by simply plugging in the value and see if it makes sense.

x + y = 857

x + 475 = 857

x = 382

And check this value:

x = y - 93

382 ?= 475 - 93

382 == 382

Therefore, we have found the values of both the washer and the dryer.

Cheers.

The cost of the dryer is $475 and the cost of the washer is $382.

What is an equation?

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Given that, a washer and a dryer cost $857 combined.

Let the cost of dryer be x.

The washer costs $93 less than the dryer.

Then, the cost of washer will be x-93

So, x+x-93=857

2x=857+93

2x=950

x=$475

x-93=475-93

= $382

Hence, the cost of the dryer is $475.

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Which function graph represents the following scenario?

The number of students per classroom can be represented by the equation y = 22x.

Question 9 options:

Which function graph represents the following scenario?The number of students per classroom can be represented
Which function graph represents the following scenario?The number of students per classroom can be represented
Which function graph represents the following scenario?The number of students per classroom can be represented
Which function graph represents the following scenario?The number of students per classroom can be represented

Answers

Answer:

The third graph

Step-by-step explanation:

We can immediately eliminate the 1st and last graphs because they are decreasing, not increasing. It wouldn't make sense that the more classrooms there are, the fewer students. Y = 22x would be increasing in the graph.

Let's plug some x values into the equation first, to see where our points are at.

Plug 1 into x

Y = 22(1)

Y= 22

(1,22)

Plug 2 into x

Y = 22(2)

Y = 44

(2,44)

Plug 3 into x

Y = 22(3)

Y = 66

(3,66)

Plug 4 into x

Y = 22(4)

Y = 88

(4,88)

The second graph matches the coordinates, so it works, but it isn't a complete function graph. A function graph needs a line drawn through the points. The second graph isn't your answer.

Let's look at the third graph. The coordinates also match up with the graph and it has a line drawn through the points. It's an accurate function graph representing this scenario. Therefore, the third graph is your answer.

Have a lovely day! :)

Answer: the 2nd graph is what i got right on the test

Step-by-step explanation:

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