Suppose you have a 7-cm by 5-cm rectangle. You increase the length by 1 cm and decrease the width by 1 cm. You continue to do this. What happens to the perimeter of the rectangle? The area? Explain why this happens.

Answers

Answer 1

Answer:

Step-by-step explanation:

P of original = 14 + 10 = 24

P of original l + 1  and w - 1 = 16 + 8 = 24

P of original l + 2  and w - 2 = 18 + 6 = 24

The perimeter remains the same each time since Perimeter is to the 1st power and you are summing; by subtracting from one and adding the same amount to another measure there is no change in perimeter

A of original = 7 x 5 = 35

A of original l + 1  and w - 1 = 8 x 4 = 32

A of original l + 2  and w - 2 = 9 x 3 = 27

A of original l + 3  and w - 3 = 10 x 2 = 20

A of original l + 4  and w - 4 = 11 x 1 = 11

The area decreases by 3,5,7,9 units each time since Area is to the 2nd power since you are multiplying two measures, now if you take the 2nd differences of 3,5,7,9 you see that they are 2 units apart each time, so are is squared and the 2nd differences are constant


Related Questions

Please look at the picture I need help please answer!!!!???

Answers

Answer:

16t

Step-by-step explanation:

Answer:

The answer is 8 tons.

16,000 lbs = 8 T

A DVD has a diameter of 12 centimeters. What is the area of the DVD? Round your answer to the nearest hundredth. Use 3.14 for π.

Answers

Answer:

area = 113.04 cm²

Step-by-step explanation:

radius = 12/2 = 6

area = πr² = 3.14(6²) = 113.04 cm²

Area= 113.04 is the answer

I'm lowkey lost lol, :)

Answers

Answer:

A. 0, 2/3

Step-by-step explanation:

The X axis will be 0 and the y axis will be less than 0 so the only answer that fits this description is C

Mr. Gibbs bought number of shirts for the new members of his band. The cost for number of shirts, including $3.99 shipping, was $77.49. Each shirt cost $12.25. There was no sales tax on this purchase. How many shirts did Mr. Gibbs buy?

Answers

Answer:

Number of shirts= 6

Step-by-step explanation:

Giving the following information:

The cost for several shirts, including $3.99 shipping, was $77.49. Each shirt cost $12.25.

First, we need to calculate the net total price paid  for the shirts:

Net total cost= 77.49 - 3.99= $73.5

Now, the number of shirts bought:

Number of shirts= 73.5 / 12.25

Number of shirts= 6

Joshua made a quilt for his cousin's doll. The quilt had an 8 × 8 array of different color square patches. If each patch is 2 2 3 in long, what is the area of the whole quilt?

Answers

Answer:

[tex]Area = 455.11\ in^2[/tex]

Step-by-step explanation:

Given

[tex]Patches = 8\ by\ 8[/tex]

[tex]Length = 2\frac{2}{3}\ in[/tex] each

Required

The area of the quilt

First, calculate the length of the quilt.

[tex]Length = 8 * 2\frac{2}{3}[/tex]

[tex]Length = 8 * \frac{8}{3}[/tex]

[tex]Length = \frac{64}{3}[/tex]

Next, the width

[tex]Width= 8 * 2\frac{2}{3}[/tex]

[tex]Width= 8 * \frac{8}{3}[/tex]

[tex]Width = \frac{64}{3}[/tex]

The area is then calculated using:

[tex]Area = \frac{64}{3} * \frac{64}{3}[/tex] i.e. Length * Width

[tex]Area = \frac{4096}{9}in^2[/tex]

[tex]Area = 455.11\ in^2[/tex] --- approximated

The area of the rectangular computer chip is 112a3b2 square microns. Write a simplified expression that represents the length. The length is ? microns.

Answers

Question:

The area of a rectangular computer chip is 112a^3b^2 square microns. Write a simplified expression that represents the length, if the width is 8ab

Answer:

[tex]Length = 14a^2b[/tex]

Step-by-step explanation:

Given

[tex]Area = 112a^3b^2[/tex]

[tex]Width = 8ab[/tex]

Required

Determine the height

Area is calculated as:

[tex]Area = Length * Width[/tex]

Make Length the subject

[tex]Length = \frac{Area}{Width}[/tex]

[tex]Length = \frac{112a^3b^2}{8ab}[/tex]

[tex]Length = \frac{14a^3b^2}{ab}[/tex]

Apply law of indices

[tex]Length = 14a^{3-1}b^{2-1}[/tex]

[tex]Length = 14a^2b[/tex]

Add.

(−5x4+6x3−43)+(6x5−x2+12x+12)



Express the answer in standard form.

Enter your answer in the box.

Answers

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Answer: 6x^5 - 5x^4 - x^2 + 12x - 31

Explanation:

I hope this helped!

<!> Brainliest is appreciated! <!>

- Zack Slocum

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

What is the percent increase when 7,200 increases by 1,800?
20 percent
25 percent
O 54 percent
O 80 percent

Answers

Answer:

25%

Step-by-step explanation:

To find the percent increase, take the increase amount over the original amount

1800/7200

.25

Multiply by 100 to get a percent

25%

 

25 percent    

7200 divided by 1800 is 25

HOPE THIS HELPS

he measurements of two sides of a triangle are 4 cm and 20 cm. What could be a measurement of the third side of the triangle?

Answers

Answer:

80

Step-by-step explanation:

every triangle adds up to 180 sort of, in this case, turn 4 into 40. 40+20=60 so add 80 to be 180!!!

What is the following sum of 3/10 + 39/100

Answers

Answer:

.69 is the answer to the question


How many cubes with side lengths of 1/3
cm does it take to fill the prism?

Answers

Answer:

48 cubes

Step-by-step explanation:

You could fit these cubes with side lengths of 1/3 cm inside a rectangular prism with dimensions of 1 cm x 2 2/3 cm x 2/3 cm.

Mark ran for 15 minutes. How many seconds did Mark run? (1 minute = 60 seconds) seconds

Answers

Answer:

900

Step-by-step explanation:

Answer:

900 seconds

Step-by-step explanation:

help help
Prove the following:
[tex] \sf\frac{ \tan( \theta) }{1 - \cot( \theta) } + \frac{ \cot( \theta) }{ 1 - \tan( \theta) } = \sec( \theta) \cdot \: \csc( \theta) + 1[/tex]
[tex]\text{note: explanation is obvious}[/tex]​

Answers

Answer:

the pictures are attachedplease see the explanation in the attached picture

Answer:

note:[tex]\theta =y[/tex]

Your answer is in the attachment.

we have

siny(cosy-siny)

taking - common from this

-siny(-cosy+siny)

-sin y(siny-cosy)

1. A Pentagon has interior angles of 70°, 130°, 115° and 110°. What is the measure of the 5th angle?

2. What is the name of a triangle whose interior angles are 45°, 45° and 90°?

3. What is the measure of an exterior angle adjacent to a 75° interior angle?

Answers

#2 is isosceles

#3 is 105°

in direct variation, how are the constant of variation and the slope related?​

Answers

The constant of variation and the slope are equal to each other.

1. Bernardo de Gálvez was a friend to the United States. He helped in providing _____________ and weapons.

Answers

Galvez allowed shipments of weapons, medicine and fabric for military uniforms to be sent to the Continental Army via the Mississippi

help no wrong answers pls

Answers

Answer: the answer is 7 1/9

Step-by-step explanation:

Please help me!
[One Step Inequalities]

Answers

Answer:

x<12

Step-by-step explanation:

Hello There!

For this problem we want to isolate the variable using inverse operations

So to get rid of the -3 we add 3 but whatever we do to one side we have to do to the other so we add 3 to both sides

-3+3 cancels out

9+3=12

we're left with

x<12

Lindsay infers that out of 400 people,300 would prefer to watch movies in a theater. Is her inference valid?

Answers

Theater: 30
Streaming: 62
DVD: 8
( this information was given in a table but I couldn't do that here)
Please mark brainliest

The angles of a triangles are x°, 3x° and 30°. When asked to solve for x, Alvi shows the work in post-it A below. Brian shows the work in post-it B below. Who is correct and why? Why mistake did the incorrect person make?

that is the pic for post it a.
the post it b said

x + 3x + 30 = 180
4x + 30 = 180
4x = 150
x = 37.5

Answers

Answer:

See explanation

Step-by-step explanation:

OK.  Alvi is incorrect because he didn't add the measures of all 3 angles of the triangle, whereas Brian did.  So, Brian is correct and Alvi needs to work on that kind of problem.

Pilar made 6 quarts of orange marmalade to store in jars. If she puts 1/4 quart of marmalade into each jar how many jars will she need

Answers

Answer: 24

Step-by-step explanation:

Given

Pilar made 6 quarts of orange marmalade

If each jar stores [tex]\frac{1}{4}\ \text{or}\ 0.25[/tex] quart of marmalade then

No of jars required to store marmalade is

[tex]\Rightarrow n=\dfrac{6}{\frac{1}{4}}=\dfrac{6\times 4}{1}=24\ \text{jars}[/tex]

Answer:

24

Step-by-step explanation:

Okay she got 6 quarts of orange marmalade and she pouring 1/4 quarts into a jar.

I will draw out the problem for you

1/4 + 1/4 +1/4 + 1/4 = 1 quart

1/4 + 1/4 +1/4 + 1/4 = 2 quart

1/4 + 1/4 +1/4 + 1/4 = 3 quart

1/4 + 1/4 +1/4 + 1/4 = 4 quart

1/4 + 1/4 +1/4 + 1/4 = 5 quart

1/4 + 1/4 +1/4 + 1/4 = 6 quart

and if u count all the 1/4 in the thing I just type, it will be 24

What is the equivalent expression for 4 + 2(b + 3).

Answers

Answer:

6b+18

Step-by-step explanation:

4×b= 4b

4×3=12

2×b=2b

2×3=6

(combine like terms)

4b+2b=6b

12+6=18

Hope this helped!

The equivalent value of the expression is A = 2b + 10

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

A = 4 + 2 ( b + 3 )

On simplifying the equation , we get

A = 4 + 2b + 6

A = 2b + 10

Hence , the expression is A = 2b + 10

To learn more about equations click :

https://brainly.com/question/19297665

#SPJ3

Find the missing side lengths. All answers should be in fully simplified form.
a=?
b?

Answers

Answer:

a=8 b=6

Step-by-step explanation:

Using the Pythagorean theorem, a^2+b^2=c^2, and in this case, a^2+b^2=10^2 = 100

so a^2+b^2=100

8^2+6^2=100

64+36=100 ✔

and since A is longer than B, a=8, b=6

Answer: a= [tex]5\sqrt{3}[/tex] b= 5

Step-by-step explanation:

sin 60=a/10

[tex]\frac{\sqrt{3} }{2}[/tex]=a/10

[tex]10\frac{\sqrt{3} }{2} =a[/tex]

[tex]5\sqrt{3}=a[/tex]

cos 60=b/10

.5=b/10

5=b

Of all the students enrolled in the school of arts who responded, approximately what proportion responded that they play video games?

Answers

Answer:

is there anyother information

Step-by-step explanation:

is there anyother information

Yosune walked her dog 5 miles today and plans to walk her dog 2.5 miles everyday from now on. The total number of miles walked y can be represented by y=2.5x+5 where x is the number of days walkef

Answers

Answer:

The  answer is below

Step-by-step explanation:

Yosune walked her dog 5 miles today and plans to walk her dog 2.5 miles every day from now on. The total number of miles walked y can be represented by y = 2.5x + 5, where x is the number days walked after today. a. State the x- and y-intercepts and then graph the equation. b. Interpret the x- and y-intercepts.

Solution:

The equation for a linear function is given by:

y = mx + b; where m is the slope of the function and b is the y intercept.

Given the equation y = 2.5x + 5, the y and x intercept can be found by substituting x = 0 and y = 0. Hence:

a) x intercept is the value of x when y = 0. Therefore:

0 = 2.5x + 5

2.5x = -5

x = -2

y intercept is the value of y when x = 0. Therefore:

y = 2.5(0) + 5

y = 5

b) The x-intercept is at the point (–2, 0). But there cannot be a negative number of days walked, hence the x intercept does not apply in this situation.

The y intercept is at the point (0, 5). This means that Yosune has initially walked her dog 5 miles.

the population of a city can be modeled using the equation p = 40,000(9/10)^x. One year the population was 23,620. What was the population a year later?

Answers

The population a year later was 40,000

Can someone help me pls thanks

Answers

Answer:

x = 1/2QN^2

Step-by-step explanation:


Ned has two cookies. One cookie weighs 1.75 ounces, and the other cookie weighs 1.375 ounces. Which statement correctly compares
and describes the weights of the two cookies?

Answers

Answer:

i think that it is 3.125

Step-by-step explanation:

because 1.75 + 1.375 =3.125

Which quadratic inequality does the graph below represent?
y>x^2-3
y y y>x^2+3

Answers

Answer:

Third one

Step-by-step explanation:

the y intercept is -3 meaning it equals, leaving 1 or 3

and it’s the smallest y number so it has to be 3

Sorry for who ever uploaded the disturbing photos :(

Hope this help and have a nice day!

I’ll continue to report the, as I have all day and will contact Brainly again since this is another account

Here’s a cute dog image to remove the other photo from mind

Answer:

c

Step-by-step explanation:

edge 2020

WILL GIVE BRAINLEST

Keisha conducts a survey to determine how many siblings each of her classmates has. The data are shown below.

0, 1, 0, 2, 2, 1, 3, 0, 4, 0, 1, 2

What is the mean value of Keisha’s data?
A. 0.75
B. 1
C. 1.3¯
D. 2

Answers

Answer:

c

Step-by-step explanation:a

add up 0, 1, 0, 2, 2, 1, 3, 0, 4, 0, 1, 2

Answer:

C. 1.3

Step-by-step explanation:

0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 3, 4

To find the mean, or average, we add up all the numbers to get the total number of siblings (16), and divide by the number of classmates she surveyed (12). 16/12 = 1.3

Please LMK if you have questions. Have a good day.

Other Questions
URGENT, PLEASE ANSWERR If someone who is 5 feet tall uses a potato gun to shoot a potato in the air at 100 feet per second, we can use the function ()=162+100+5 to calculate how far the potato will be from the ground at any given second (t). What does the h(0) represent in the context of the problem? 4. President Woodrow Wilsons plan for a just world based on the Allies aims to end World War I.A. Fourteen TreatiseB. Fourteen DivisionsC. Fourteen SignaturesD. Fourteen Points5. Which of the following is NOT considered one of the four primary causes of World War I?A. MilitarismB. AbsolutismC. ImperialismD. Nationalism6. Which geographic region of Europe became known as a powder keg because of its diversity ofethnic populations and strong nationalistic sentiments?A. The Baltic RegionB. The Bavarian RegionC. The Balkans RegionD. The Bohemian Region7. On June 28, 1914 the assassination of which Austria-Hungarian Archduke and his wife started a chainreaction which eventually led all of Europe into World War I?A. Francisco FrancoB. Frederic FranklinC. Franz FerdinandD. Fredric Franz8. Which four countries formed the Central Powers during World War I?A. Germany, Austria-Hungary, Bulgaria, and the Ottoman EmpireB. Germany Austria-Hungary, Japan, and the Ottoman EmpireC. Great Britain, France, Russia, and the United StatesD. Great Britain, France, the Soviet Union, and the United States9. When World War I began, Germanys biggest problem was what?A. Mobilizing enough troops to fightB. Ensuring enough popular support amongst its citizensC. Fighting a major war on two frontsD. How to carry out the Final Solution against its Jewish population10. The fighting during World War I became a grinding, deadly affair with little advancement by eitherside. This stagnant style of warfare where armies took cover in elaborate, fixed position was calledwhat?A. Trench WarfareB. Static WarfareC. Guerilla WarfareD. Blitzkrieg11. Which of the following was NOT a new weapon invented during World War I to try to gain anadvantage and win the war?A. Poison GasB. TanksC. AirplanesD. Aircraft Carriers12. Germanys policy of unrestricted ___________ ____________ led to the United States entry intoWorld War I in 1917.A. Submarine WarfareB. Aerial BombingC. Envelopment BlitzkriegD. Scorched Earth13. In 1919, representatives from 32 nations attended what conference to write a treaty to end WWI?A. The London Peace ConferenceB. The Washington Peace ConferenceC. The Berlin Peace ConferenceD. The Paris Peace Conference14. Following World War I, President Woodrow Wilson wanted to create what body of nations thatwould hopefully, peacefully negotiate solutions to future conflicts?A. The United NationsB. The League of NationsC. The Union of NationsD. The United Alliance15. Despite the death and destruction suffered by the Soviet Union during World War II, it and theUnited States were considered the worlds only _______________ after the war?A. DemocraciesB. SuperpowersC. ImperiumsD. Dominions What was the main reason John Quincy Adams was not effective as president? A train travels 240 miles in 6 hours, moving at a constant speed.How long will it take the train to travel 360 miles at this speed?1.5 hours2.5 hours9 hoursO 60 hours CAN SOMEONE HELP ME PLS Problem3. The diagram shows the distance a tortoise canwalk if it walks at a constant pace for 15minutes. At the same rate, how manykilometers can the tortoise walk in 1 hour?Write your answer as a decimal.Minutes H015Meters+4000 The All India Cricket Council is experiencing sporadic activity on their ticketing website, depending on the announcement of match schedules. They require high-speed processing during peak times, but otherwise website traffic is nominal. Which unique Cloud feature seamlessly helps manage the increase and decrease in traffic? What is the approximate area inside the rectangle butoutside the semicircle? What was a result of efforts by the U.S. and Canadian governments to improve water quality? Question 1 options: increased sugar maple production the resurgence of some fish populations increased hydroelectric power a depletion of several salmon species Which title best completes the diagram?States' rights versusfederal rightsThe growth of theAbolitionistMovementEconomic and socialdifferences betweenthe North and South?The election ofAbraham Lincolnokey Events of the Civil WarCauses of the Civil WarThe Nullification CrisisIndividual Rights during the Civil War could someone fill in this form for me? 1. Sketch the graph of f(x) = 3* and describe the end behavior of the graph.idX86-24-1I20-10-9-8-7 -6 -5 -4 -3 -2 -1 1002.3 4 5 6 7 8 9 10o-21-42.-6-8 What was the Mandate of Heaven?Select one:a. The idea that the Heavens favored the most just rulersb. A requirement to appear in a temple every monthc. A piece of paper that said who should ruled. None of the answers are correct Solve using the linear combination method.4x - 3y = 263x + 2y = 11 In the following figure, the value of xs is2035 Help please due in in 10 minutes How are antibodies related to the type of blood a person can receive?Does anyone k one what is Lacrosse: Then and Now Which of the following is true about the Olmec people?A. They lived in modern-day Africa, and produced pyramidsB. There lived in modern-day Africa and there were no nearby waterwaysC. They lived in modern-day Mexico, and produced rubberD. They lived in modern-day Mexico, and did not produce any art or artifacts Which pairs of fractions are equivalent? Mark all that apply. 4/5 and 8/12 2/3 and 10/15 1/6 and 3/18 2/7 and 6/20 help with this plz!