Mathematics Middle School

Hexagon FUTBOL has coordinates F(3,6), U(5,2), T(2,-3), B(-3,-2), O(-5,1) and L(-2,5), and it is dilated by scale factor of five centered at origin.
What are the coordinates of F'U'T'B'O'L'?

Answers

Answer 1

Answer:

[tex]F'(15,\ 30),\ U'(25,\ 10),\ T'(10,\ -15),\ B'(-15,\ -10),\ O'(-25,\ 5),\ L'(-10,\ 25)[/tex]

Step-by-step explanation:

We known that ,

When a figure (with coordinate (x,y)) gets dilated by a scale factor k from origin (0,0) , then the coordinate of the new image will become :-

[tex](x,y)\to(kx,ky)[/tex]

Given : Hexagon FUTBOL has coordinates F(3,6), U(5,2), T(2,-3), B(-3,-2), O(-5,1) and L(-2,5), and it is dilated by scale factor of 5 centered at origin.

Then, the coordinates of F'U'T'B'O'L' will be :-

[tex]F(3,6)\toF'(5(3),\ 5(6))=F'(15,\ 30)[/tex]

[tex]U(5,2)\toU'(5(5),\ 5(2))=U'(25,\ 10)[/tex]

[tex]T(2,-3)\toT'(5(2),\ 5(-3))=T'(10,\ -15)[/tex]

[tex]B(-3,-2)\toB'(5(-3),\ 5(-2))=B'(-15,\ -10)[/tex]

[tex]O(-5,1) \toO'(5(-5),\ 5(1))=O'(-25,\ 5)[/tex]

[tex]L(-2,5) \toL'(5(-2),\ 5(5))=L'(-10,\ 25)[/tex]

Hence, the coordinates of F'U'T'B'O'L' will be :-

[tex]F'(15,\ 30),\ U'(25,\ 10),\ T'(10,\ -15),\ B'(-15,\ -10),\ O'(-25,\ 5),\ L'(-10,\ 25)[/tex]

Related Questions

find the percent increase for 13 friends to 14 friends round to nearest percent if you can

Answers

From 13 to 14 # is increased by 1

14-14 = 1/13 *100% That equals 7.69%

Your answer is 7.69%

Final answer:

The percent increase from 13 to 14 friends is calculated as [(14 - 13) / 13] × 100, which gives a result of approximately 7.7%. After rounding to the nearest percent, the increase is 8%.

Explanation:

To find the percent increase from 13 friends to 14 friends, we use the formula for percentage change, which is:

Percentage Change = [(New Value - Original Value) / Original Value] × 100

In this case, our original value is 13 (the number of friends at the start) and our new value is 14 (the number of friends after the increase). So, we plug these numbers into our formula:

Percentage Change = [(14 - 13) / 13] × 100 = [1 / 13] × 100

Now, we calculate the fraction and then multiply by 100:

Percentage Change = (0.07692307692) × 100 ≈ 7.7%

When rounded to the nearest percent, the percent increase is approximately 8%.

A music download service charges a flat fee each month and $0.99 per download. The total cost for downloading 37 songs this month is $42.72.
How much is the flat fee?
(pls tell me the equation)

Answers

.99x=37.00
42.72-x=answer
there is 37 downloads so .99 times 37 is 36.63 so 36.63 minus 42.72 is 6.09 so the flat fee is $6.09.

1.75 rounded to the nearest whole number

Answers

Numbers 0, 1, 2, 3, and 4 are rounded down.
Numbers 5, 6, 7, 8, and 9 are rounded up.

Since we're rounding to the nearest whole number, don't even look at the hundreths place. All you need is the tenths place.

The number in the tenths place is 7, so you round up.

1.75 rounded to the nearest whole number is 2.

Hope this helps!
Your song is "Sincerely Me"

The rounded number is given by A = 2

What is rounding up numbers?

There are basically two rules while rounding up numbers

If the number you are rounding is followed by 0, 1, 2, 3, or 4, round the number down and if the number you are rounding is followed by 5, 6, 7, 8, or 9, round the number up.

Non-zero digits are always significant

Zeros between non-zero digits are always significant

Leading zeros are never significant

Trailing zeros are only significant if the number contains a decimal point

Given data ,

Let the rounded number be represented as A

Let the number be represented as n

Now , the value of n = 1.75

And , when you round to the nearest ones place. The 1 in the ones place rounds up to 2 because the digit to the right in the tenths place is 7.

When the digit to the right is 5 or greater we round away from 0.

So , the rounded number is A = 2

Hence , the rounded number is A = 2

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Equation: y= -0.25x+1
After how many minutes is the timer 25% full?

Answers

Answer: 3 minutes

To solve this, I plugged 0.25 into the y value since it represents the amount of sand remaining. I then solved for the x value which gave me a value of 3. (I hope this helps)

204 meters 89 cm = how many cm??

Answers

20,489 because 1 meter is 100 centimeters.

204 meters 89 centimeters is equal to 20,489 centimeters.

To convert 204 meters 89 centimeters to centimeters, we need to consider that 1 meter is equal to 100 centimeters.

204 meters is equal to 204 × 100 = 20,400 centimeters.

Adding the 89 centimeters, the total is 20,400 + 89 = 20,489 centimeters.

Therefore, 204 meters 89 centimeters is equal to 20,489 centimeters.

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20 points please answer and write an inequality

A popular cellular phone family plan provides 1,500 minutes. It charges $89.99/month for the first two lines and $9.99/month for every line after that. Unlimited text messages for all phone lines costs $30.00/month, and Internet costs $10.00/month per phone line. If a family with a $200 monthly budget buys this plan and signs up for unlimited text messaging and Internet on each phone line, how many cell phone lines can they afford? Use an inequality to solve this problem. Graph your solution on the number line and explain the meaning of your graph in a sentence.

Answers

if you're counting the two lines given with the only 89.99 plan its 9 plans if not then its 7 additional plans

Which function describes this graph?

f(x)=4x+2
f(x)=x+2
f(x)=1/4x+2

Answers

f(x) = 1/4x + 2

This means that the y-intercept is 2 and the slope is 1/4.

Hope this helps!
The function that best describes this graph would be f(x)=1/4x+2. The y-int is 2 and it rises once and runs 4 times to the right.

Which equation below is a direct variation? A. 0.05x = y B. x + 2 = y C. D. y = 2x + 6

Answers

It’s A because the direct variation formula is y = mx.

A pet shop uses 43 pounds of food each day. How many pounds are used in 365 days?

Answers

You know that 43 pounds are used each day, and they say 365 days, so what do you do?





































You multiply
43 lbs. x 365 days=15,695 lbs.

Marty has a fenced yard in the shape of a rectangle. It's area is 635.4 square feet. The width of the yard is 18 feet. What is the length of the fence?

Answers

Area=length*width

635.4=18*L
35.3=L

So the answer is 35.3
Final answer:

The length of the rectangular yard, given an area of 635.4 square feet and a width of 18 feet, can be calculated using the formula for the area of a rectangle. Substituting the given values into the formula, we find that the length is approximately 35.3 feet.

Explanation:

The question is about finding the length of a rectangular yard given its area and width. Recognizing that the formula for the area of a rectangle is Area = Length x Width, we can easily find the length of the yard by rearranging the formula.

To find the length of a rectangle when you know the area and width, use the rearranged area formula: Length = Area ÷ Width.

Given the values from the problem: Area = 635.4 sq ft and Width = 18 ft, we substitute them into the formula: Length = 635.4 ÷ 18. This results in a length of approximately 35.3 feet.

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mr smith waters one one of his plants every 10 days and another plant every 14 days. If he water both days today when is the next time both plants will be watered on the same day?.

Answers

it will be after 70 days

Answer:

after 70 days.

Step-by-step explanation:

Mr. Smith waters one of his plants every 10 days and another plant ever 14 days.

he waters both plants today we have to find the next time both plants will be watered on the same day.

So we will take LCM of these numbers.

LCM of 10 , 14

= 2 × 5 × 7

= 70

The next time both plants will be watered on the same day after 70 days.

What is 231 divided by 42

Answers

5.5 is the answer for the problem
5.5 is the correct answer

you can buy 5 t-shirts at baxter's for the same price that you can buy 4 t-shirts at Bixby's

Answers

Ok
What is the question

estimate 102.3 divided by 4.7

Answers

Answer:

20

Explanation:

To estimate, we round.  102.3 rounds to 100 and 4.7 rounds to 5; this means we divide 100/5, which is 20.

Answer:

The estimate result of 102.3 divided by 4.7 is 20.

Step-by-step explanation:

Given : 102.3 divided by 4.7

We have to estimate 102.3 divided by 4.7

Since, estimation is the roughly calculation and is usually involves rounding to the nearest values so that they are easy to cancel out.

Since, we have to divide,

102.3 divided by 4.7

Rounding 102.7 to nearest tens place , we get, 102. 7 = 100

And Rounding 4.7 to nearest  ones place, we get, 4.7 = 5

Thus, when divide 100 by 5 , we get 20.

Thus,  102.3 divided by 4.7 ≈ 20

Thus, The estimate result of 102.3 divided by 4.7 is 20.

Use the order of operations to find the value of the expression 5*2+6-5

Answers

You have to use PEMDAS. The first irder of operations to use in this situation is multiply. So 5 x 2 = 10. Now we have to add 10 + 6 = 16. Lastly, you have to subtract 16 - 5 = 11. So your answer would be 11. 


Hope this helps! : - D



Salutations!

BODMAS also called Order of Operations means:

B- Brackets

O - Order

D- Division

M- Multiplication

A- Addition

S- Subtraction.

[tex]5*2+6-5[/tex]

[tex]5*2 =10[/tex]

[tex]10+6=16[/tex]

[tex]16-5=11[/tex]

Hope I helped (:

have a great day!

Are the fractions 1/2 and 3/8 equivalent fractions

Answers

No, 1/2 is equivalent to 4/8

A fraction is a way to describe a part of a whole. The value of the two fractions is not equal.

What is a Fraction?

A fraction is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25.

The value of the two fractions can be simplified as,

1/2 = 0.5

3/8 = 0.375

As it can be seen that the value of the two fractions is different, therefore, the value of the two fractions is not equal.

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Find the coordinates of the points of intersection of the graphs with coordinate axes:
y=−1.5x+3

x − intercept is ( , )
y − intercept is ( , )

Answers

I only know the y intercept which is 0,3

Answer:

x - intercept is (2,0)

y - intercept is (0,3)

Step-by-step explanation:

y = 0 for x - intercept

0 = - 1.5x + 3

- 3 = - 1.5x

x = 2

x = 0 for y - intercept

y = 0 + 3

y = 3

What is 45,824 rounded to the nearest thousand

Answers

46,000 is the answer
You have your 1s 10s 100s 1,000s 10,000s. 45,824 you want to round to the nearest thousands so you look at 5,824. if its 5 or more go up if its 4 or round down. 800 is more than 500 so you round up to 6,000. The answer is 46,000.

Given the binomials (x-1), (x-3), (x+3), (x+5), which one is the factor of f(x) = x^3 + 6x^2 + 12x +35?

Answers

The given polynomial is
f(x) = x³ + 6x² + 12x + 35

According to the Remainder Theorem, if x = a is a zero, then
f(a) = 0, and (x-a) is a factor.

Test (x-1):
f(1) = 1 + 6 +12 + 35 = 54   
Not a factor.

Test (x-3):
f(3) = 3³ +6*3² + 12*3 + 35 = 152
Not a factor.

Test (x+3):
f(-3) = (-3)³ + 6*(-3)² + 12*(-3) + 35 = 26
Not a factor.

Test (x+5):
(-5)³ + 6*(-5)² + 12*(-5) + 35 = 0
It is a factor.

Answer: (x+5) is a factor.

256is what percent of 400=

Answers

So first change this to a fraction.

256/400

And then just divide.

256/400 = 0.64

And then change that to a percent.

64%
The answer is that 256 is 64% of 400.

How much is 24 ounces of spread if it is $6.40 per pound?

Answers

Since a ounce = pound is 16=1 so convert 24 ounces into pounds which is 1.5 pounds so multiply 6×4 by 1×5 and get $9.6 dollars for 24 ounces of the spread.
A pound = 16oz
Half a pound = 8oz

16 + 8 = 24
|| || ||
1lb 1/2lb 1 1/2 lbs


6.40/2 = 3.20
6.40 + 3.20 = 9.60

Your answer is 9.60

67a(t+z)=45z+67 solve for z.
I need help. Please?

Answers

67a(t+z)=45z+67
Distribute the 67a to inside the parenthesis.
67at + 67az = 45z + 67
Subtract 67 to the other side.
67at + 67az - 67 = 45z
Divide everything by 45.
1.49at + 1.49az - 1.49 = z

Hope that helped! :)
Hello there, let's get started.

The equation is 67a(t+z)=45z+67.

Let's first distribute "67a" to the "t" and "z" in the parenthesis.
The equation simplifies to: 67at + 67az = 45z + 67. 

Step one is to Add -45z to both sides. 67at+67az+−45z=45z+67+−45z (this crosses 45z out), it is now simplified to 67at+67az−45z=67. 

Step 2 is to now add -67at to both sides. 67at+67az−45z+−67at (this crosses 67at out)=67+−67a. The equation is now simplified to 67az−45z=−67at+67t. 

Step 3: Factor out variable z. z(67a−45)=−67at+67. 

Step 4: Divide both sides by 67a-45. z(67a−45)/67a−45=−67at+67/67a−45.
It's then simplified to: z=−67at+67/67a−45.

The equation: z=−67at+67/67a−45 is the final answer. Sorry if this is confusing.

Kay estimates that Wednesday ride is about 3 miles longer than Tuesday ride . Is her estimate reasonable ?

Answers

Answer:

yes

Step-by-step explanation:

Write 63 as a sum of tens and ones

Answers

you have 60 in your tens place. you have 3 in your ones place. then add both together

Find the value of x (5x) (3x+12

Answers

The value that shows the expansion of the given algebraic expression  is 6.

What is the solution to the algebraic expression.

An algebraic expression is a mathematical expression that has the variables, coefficients, and its arithmetic operators

In the complete question attached below, we are to find the value of x.

We can see that the angles are alternate angles.


So, 5x = (3x + 12).Combine like terms, we have:

5x - 3x = 12

2x = 12

x = 12/2

x = 6

Therefore, the value of x is = 6.

For what value of y does 125=(1/25)^y-1
A -5/2
B -2
C -1
D -1/2

Answers

The value of y that satisfies the equation is -1/2.

The correct option is D.

To solve the equation, using the property of exponents:

125 = (1/25[tex])^{y-1[/tex]

Now, 125 can be written in exponent form as (5³) and (1/25) as (5⁻²):

So, 5³ = (1/5²[tex])^{y-1[/tex]

5³ = (5⁻²[tex])^{y-1[/tex]

5³ =[tex]5^{-2y+2[/tex]

Since the bases are the same, comparing the exponents as:

3 = -2y+ 2

3-2 = -2y

-2y = 1

y= -1/2.

Therefore, the value of y that satisfies the equation is -1/2.

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the attendance at two baseball games on successive nights was 66,000 the attendance on Thursdays game was 6,000 more than 2/3 of the attendance at Friday nights game

Answers

Fridays game = x

 Thursdays game = 2/3x +6000

 x + 2/3x +6000 = 66000

x +2/3x = 5/3x

5/3x + 6000 = 66000

5/3x = 60000

x = 60000 / 5/3 = 36000

 Friday night = 36000

 Thursday night = 30000

what is a solution to (x-2)(x+10)=13?
a: x=3
b: x=8
c: x=10
d: x=11

Answers

(x-2)(x+10)=13

x^2 + 10x - 2x - 20 = 13

x^2 + 8x - 20 - 13 = 0

x ^2 + 8x - 33 = 0

(x + 11) (x - 3) = 0

x + 11 = 0

x = -11

x - 3 = 0

x = 3

The answer is clearly x = 3.

Choice a.
Best answer would be A

Use the scale and map measurements to find the actual distance from New Wilmington to Sharon through Mercer. What is the actual distance if you travel from New Wilmington to Sharon through Volant?
A.) 16.5 mi; 19.5 mi

B.) 33 mi; 39 mi

C.) 66 mi; 78 mi

D.) 49.5 mi; 58.5 mi

Answers

1) New Wilmington-> Mercer: 1.25in
Mercer -> Sharon: 1.5in
-> in total 2.75in
scale 1 in:12 mi

->in total scaled: 2.75*12 mi=24+9mi=33mi

2) New Wilmington-> Volant: 1.25in
Volant -> Sharon: 2in
-> in total 3.25in
scale 1in:12mi

->in total scaled: 3.25*12 mi=36+3mi=39mi

so the answer is B) 33 mi; 39 mi

the other person is incorrect "b.33 Mi; 39Mi" is not even an option on my quiz

the correct answer is 76.5 mi; 67.5 mi



Gary read 34 pages of a 340 pages book what percentage did he read

Answers

Gary read 10% of the book. To solve this, I turned the problem to a fraction 34/340 (34 out of 340 pages read) and simplified it to 10/100 so I can convert it to the percent, 10%.

As per linear equation, Gary read 10% of the book.

What is a linear equation?

"A linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation."

Gary read 34 pages of a 340 pages book.

Therefore, the percentage of the book he read is

= (34/340) × 100%

= 10%

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Other Questions
write an indirect proof..if two angles are supplementary, than they both cannot be obtuse angles. 10 questions very simple. Lots of points.1 Simplify the given equation.5x + 2(x - 3) = -2(x - 1)a. 7x - 6 = -2x + 2b. 7x - 3 = -2x - 12 Solve for x. 3(x + 2) = 12a. x = 2b. x = 3 1/3c. x = 4 2/33 Solve for x. 7(x + 1) = 21a. x = 2b. x = 20/7c. x = 44 Solve for x. 4(x + 2) = 48a. x = 7 1/2b. x = 10c. x = 145 Solve for x. 13(x - 3) = 39a. x = 1b. x = 4c. x = 66 Solve for x. 5(x + 1) = 4(x + 8)a. x = 7b. x = 27c. x = 377 Solve for x. 7(x + 2) = 6(x + 5)a. x = -16b. x = 16c. x = 448 Solve for x. 3(x + 2) + 4(x - 5) = 10a. x = 36/7b. x = 24/7c. x = 16/79 Solve for x. 7(x - 3) + 3(4 - x) = -8a. x = 1/4b. x = 25/10c. x = -41/1010 Solve for x.7(3 - x) = 8(4 - 2x)a. x = -5/9b. x = 11/23c. x = 11/9 Which type of policy is controlled by the board of governors of the federal reserve when heat is added to an object, what factors determine its change in temperature? How to find the rate of change of the volume of cone? The most important things are the hardest things to say. They are the things you are ashamed of, because words diminish themwords shrink things that seemed limitless when they were in your head to no more than living size when they're brought out. But it's more than that, isn't it? The most important things lie too close to wherever your secret heart is buried, like landmarks to a treasure your enemies would love to steal away. And you may make revelations that cost you dearly only to have people look at you in a funny way, not understanding what you've said at all, or why you thought it was so important that you almost cried while you were saying it. That's the worst, I think. When the secret stays locked within not for want of a teller but for want of an understanding ear. Source: King, Stephen. "The Body." Different Seasons. New York: Penguin Group, 1982. Google Books. Web. 16 May 2011. What is the point of view of the passage? which side correspond to TA A business and its workers are in conflict.the business wants to keep pay & benefits the same, while workers want pay to increase. who must they meet with to decide what to do?A. AFL-CIOB.AMAC.AFTD. NLRB Which statement is TRUE regarding the consequences of the Treaty of Guadalupe Hidalgo? Whitch best describes the resulting three-dimensional figure !? Describe t-test and explain how to interpret its results ? How many centuries has it been since the first car was invented? What is the role of a funguss fruiting body?absorb nutrientsmovementproduce sporesfood production In what way did Darius I ensure that the satraps actually sent the central government the wealth of the peripheral provinces? Which benefit of stretching makes you more comfortable when you move around? Alice and Brian have cookies in a ratio of 4:3. Brian and Cori have cookies in a ratio of 6:4. What is the ratio of Alices cookies to Coris cookies? Which answer best details a weakness of the Articles of Confederation? The Articles of Confederation gave too much power to Congress and not enough to the states. The Articles of Confederation did not give Congress all the powers it needed to help the country. The Articles of Confederation gave too little power to governors and state officials. The Articles of Confederation gave too much power to governors and state officials. A truck costs $9,200 with a residual value of $1,000. it is estimated that the useful life of the truck is four years. the amount of depreciation expense in year 2 using the declining-balance method at twice the straight-line rate is: which of the following is NOT a true statement about ATP? A. used ATP is discarded by the cell as waste. B. ATP consists of ribose, adenine and phosphate. C. ADP forms when ATP releases energy. D. ATP provides energy for the mechanical functions of cells. After escaping from exile , Napoleon gathered Steam Workshop Downloader