a rectangular lawn has an area of a^3 - 125. use the difference of cubes to find out the dimensions of the rectangle.

Answers

Answer 1

The area of a rectangle is the product of its dimensions

The dimensions of the rectangle are: [tex]\mathbf{Length = a -5}[/tex] and [tex]\mathbf{Width = a^2 + 5a + 25}[/tex]

The area is given as:

[tex]\mathbf{Area = a^3 - 125}[/tex]

Express 125 as 5^3

[tex]\mathbf{Area = a^3 - 5^3}[/tex]

Apply difference of cubes

[tex]\mathbf{Area = (a - 5)(a^2 + 5a + 5^2)}[/tex]

[tex]\mathbf{Area = (a - 5)(a^2 + 5a + 25)}[/tex]

The area of a rectangle is:

[tex]\mathbf{Area = Length \times Width}[/tex]

So, by comparison:

[tex]\mathbf{Length = a -5}[/tex]

[tex]\mathbf{Width = a^2 + 5a + 25}[/tex]

Read more about areas at:

https://brainly.com/question/3518080


Related Questions

Please help I will give Brainiest if correct!
What is the rate of change?

Answers

Answer: 2 is the correct answer I am 100% positive

Step-by-step explanation:

Answer: the rate of change is 2

Step-by-step explanation:

Solve for X: square root 2x power of 2 +5 = 2

A. plus and minus 1

B. square root 2

C. plus and minus 2

D. no solution​

Answers

I think the answer is D

Write the equation parallel to y=−1/4x (meaning with a slope of −1/4) but passing through the point (−12,1).

Answers

Answer: y=1/4x+4

Step-by-step explanation:

Parallel means the new equation will have the same slope.

y= 1/4x+b

We don't know the b value yet but we can plug in coordinates to solve. We can use the one provided since it has to be a value of this equation.

1= 1/4(-12)+b

1= -3+b

b= 4

y=1/4x+4

A student from last year got an answer of 36 when asked to simplify the expression below. Identify the student’s mistake? Then solve it correctly.

`2+10\ \times\ 3`

Answers

2 + 10 x 3 ≠ 36
you have to do the multiplication first.
= 2 + (10 x 3)
= 2 + 30
= 32

PLEASE HELP WILL MARK BRAINLIEST NO RANDOM ANSWERS

Answers

Answer:

2 is the correct answer

identify an equation in point-slope form for the line perpendicular to y= 4x - 9 that passes through (-5, 3)

Answers

Hello there!

The slopes of perpendicular lines are opposite reciprocals. It means we take the slope of the given line, flop it over and make it negative.

And then just plug in the points:

y-y1=m(x-x1)

y-3=-1/4x-(-5)

y-3=-1/4x+5

Hope this helps!

~Just a joyous teen

[tex]GraceRosalia[/tex]

Find the range of the function f (x) = 2x - 1 with the given domain -1, 0, 1, 2

I will give Brainliest!

Answers

Answer:2x-1

Step-by-step explanation:

HELP!! Please!! Complete the equation describing how
x and y are related.

Answers

y=2x. if x and y are related.

If 35 cycles were produced in 5 days by a company then how many cycles will be produced in 21 days.

Answers

Answer:

126

Step-by-step explanation:

35/5 = 6.

6 is the number in 1 day

6x21=126

126 is the number in 21 days

Hope that helps

PLEASSEEE HELP THIS DUES ON MONDAY AND I CAN'T FIGURE IT OUT PLS HELP PLSSSSSSSSS

Answers

Answer:

carltzy Poland in ngayon

QUESTION 8
The city Music Hall charges $24.00 per adult and $14.00 per senior citizen. One day 492 people attended a concert. The total for tickets purchased
was $7878.00. How many senior citizens attended the concert?
O 393 senior citizens
O 99 senior citizens
O200 senior citizens
O 292 senior citizens

Answers

Answer:

Adults (x) = 99 and

Seniors (y) = 393

393 seniors

Step-by-step explanation:

Adults= x

Seniors = y

1) x+ y = 492

2) 24x + 14y = 7,878

1) x = 492 - y

2) 24 (492 - y) + 14 y = 7,878 (substitution)

11808 - 24y + 14y = 7,878

11,808 - 10y = 7,878

11,808 - 7,878 = 10y

3,930/10 = y

y = 393

1) x + 393 = 492 (substitution)

x = 492 - 393

x = 99

19. What is the 6th term in the sequence below? 1, 3, 7, 15, 31, _, 127​

Answers

The 6th term in the sequence should be 63

Complete the multiplication problem to find the answer.

Answers

Answer:

A

Step-by-step explanation:

Answer:

a) 39.71

Step-by-step explanation:

The picture is my question, tap on it to see it better please answer it.

Answers

Answer:

When x= 4, then f(x)= 13.

When x= g(x), then f(x)=g

When x= -3, then f(x)= -1

When x= -15(x), then f(x)= -15

please help i need help

Answers

Answer:

fractions

d

its right answer

Answer:

The answer to your question is D Fractions

Step-by-step explanation:

Fractions and decimals are two different ways to represent parts of a whole number.

I hope this helps!

Please help me if u can that would be GREAT Thanks

Answers

Answer:

12.5 or 25/2!

Step-by-step explanation:

Multiply the first two as improper fractions then divide it by 2/3!

Real answers and explanations ONLY! I’ll name you brainiest if correct

Answers

Answer:

1/10⁶ or 0.000001

Step-by-step explanation:

For every time you have a probability of getting 1 is:

P(1) = 1/10

For all 6, the probability of outcome of 1 is:

P(1x6) = (1/10)⁶ = 0.000001

Probability of 1

P(1)=1/10

Probability of 6

P(1×6)

(1/10⁶)10^{-6}

A 230 inch pipe is cut into two pieces. One piece is 4 times length of the other. find the length of the shorter piece

Answers

Answer: 46 x 4 = 184

184 + 46 is 230

Step-by-step explanation:

Kira is going to rent a truck for one day. There are two companies she can choose from, and they have the following prices.
Company A charges an initial fee of $35 and an additional 60 cents for every mile driven.
Company B charges an initial fee of $42 and an additional 50 cents for every mile driven.
For what mileages will Company A charge less than Company B?
Write your answer as an inequality, using m for the number of miles driven.

Answers

Answer:

m < 0.7

Miles less than 0.7

Step-by-step explanation:

Company A: 60m + 35

Company B: 50m + 42

60m + 35 < 50m + 42

60m - 50m < 42 - 35

10m < 7

m < 7/10 (0.7)

53.98% of the area under the distribution curve lies to
the left of it.

Answers

Answer:

54%

Step-by-step explanation:

please help

The Finance Committee: Nine members of a finance committee could not get together for an emergency meeting. However, during the next three days, each member talked to each other member on the telephone. What is the minimum number of phone calls needed to accomplish this?

The Merry-Go-Round: On a merry-go-round, 12 horses are evenly spaced on the outside perimeter. It takes four seconds for the fourth horse to reach Abe,starting when the first horse is opposite him. How long will it take the merry-go-round to go around once?

Answers

Answer:

1) How does "Abe" relate to the merry-go-round? (The problem doesn't seem to say.)

2) How many people did each person provide for? So how many dozens were brought? How many are in a dozen? So how many cookies were brought?

Step-by-step explanation:

nm the top

There are n seats on a merry- go-round. A boy takes n rides. Between each ride, he moves clockwise a certain number of places to a new horse. Each time he moves a different number of places. Find all n for which the boy ends up riding each horse.

2) So if there are n horses, first the boy could move by one place then he could move by n+1 places then by 2n+1 so on and so forth, until he moves (n−2)n+1 places, in which case he'd would have been ridden each horse only one time and taken unique number of steps, which implies that all n's satisfy given condition.

1) I don't know how to cancer this let me resheerch and ill get back to you

P>S let this be help only if you need to annotate or reword thx

Michele has 5 coins Worth 0.75 in all. What coins does she have

Answers

Answer:

2 quarters, 2 dimes, and 1 nickel

Step-by-step explanation:

25 times 2 = 50

10 times 2 = 20

1 times 5 = 5       +

____________

0.75

The coins can be distributed in the following manner -

2 quarters (2 x 25) + 2 dimes (2 x 10) + 1 nickel (5) = $0.75

What is Equation Modelling?

Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

Given is Michele who has 5 coins Worth 0.75 in all.

We can distribute the coins in the following manner -

2 quarters (2 x 25) + 2 dimes (2 x 10) + 1 nickel (5) = $0.75

Therefore, the coins can be distributed in the following manner -

2 quarters (2 x 25) + 2 dimes (2 x 10) + 1 nickel (5) = $0.75

To solve more questions on Equation Modelling, visit the link below -

brainly.com/question/18404565

#SPJ5

Someone help me I will mark you as brain

Answers

Answer:

Last one hard to explain

expand and simpifly 2(x+7) + 3(x+1)

Answers

Answer: 5x+17

Step-by-step explanation:

2(x+7) + 3(x+1)

2x+14 + 3x+3

5x+17

Answer:

5x+17

Step-by-step explanation:

expanded:

2x+14 + 3x+3

simplified:

-collect like terms-

2x+3x=5x

14+3=17

1p
Oliver paid $21 for 6 t-shirts. Each shirt was the same price. What was the
cost of 1t-shirt?
$2.00
$2.50
$3.00
$3.50

Answers

Answer:

One t-shirt would cost $3.50

Step-by-step explanation:

$21 / 6 t-shirts = 3.50 each

Answer:

3.50

Step-by-step explanation:

6(2) = 12

6(2.50) = 15

6(3) = 18

6(3.50) = 21

If he paid $21 for 6 t-shirts and each t-shirt was the same price...then the cost of 1t-shirt was $3.50. If you want to double-check this, divide $21.00 by $3.50 and you should get 6 as the answer!

Can somebody please help me?

Which number best represents a positive charge of 1,640 volts? A.
-1,540
B.
-1,640
C.
1,640
D.
1,540

Answers

C since it is a positive 1640 and that is what you are looking for

Answer:

Hello there! I think the answer to your question

C

Because a "A positive voltage is a  voltage that pushes electrons out of a battery."

Write the equation of a line going through the points (2,2) and (4,-3) in slope intercept form.

Step 1: Find slope


Step 2: find b



Step by step answer please.

Answers

Answer:

the slope is y2 - y1 over

x2 - x1

which means

[tex]( - 3- 2) = - 5[/tex]

[tex](4 - 2) = 2[/tex]

slope is m= -5/2

then you take a y from the first set of points for b

[tex]y = - \frac{5}{2} x \times 2[/tex]

hope it helps.

dbtnjjj5ygjhts2hjuuujjhjj​

Answers

Answer:

thanks for the points........

Answer:

wt f ok?

Step-by-step explanation:

Helpppppppppppppppppppppppppppppppppppppppppppppppppppppppppp

Answers

Answer:

0.436 x 6

2.616

More info

Step-by-step explanation:

Brainliest or.. else..

3.
Write an equation for the translation of y = |x|.

6 units left

A. y = |x + 6|

B. y = |x – 6|

C. y = |x| + 6

D. y = |x| – 6

Answers

The answer is: y = |x + 6|
Other Questions
All of the careers in the health and wellness field are positions dedicated to helping people.Please select the best answer from the choices provided.TF Twelve boys collected 16 aluminum cans each. Fifteen girls collected 14 aluminum cans each. How many more cans did the girls collect than the boys Help help please please Hi, I believe this is correct, leme know (: The opening activity in a PBL project that introduces you to the project topic and challenge is called.... What are worn out tissues Which statement is true about oxygen and rocks?A) Both are mixtures.B) Both are pure substances.C)Oxygen is a mixture and a rock is a pure substance.D)Oxygen is a pure substance and rocks are mixtures. Which number is not in scientific notation? (5 points)11 10215.7 1093.1 10121.67 105 Please Help! 1. If you take a Uber and they charge $5 just to show up and $1.57 per mile, how much will it cost you to go 12 miles? (Assume no tip.)a. Create an equation from the information above. b. Identify the slope in the equation?c. Calculate the total cost of the ride?2. With the same charges as #1, how many miles could you go with $50, if you also gave a $7.50 tip? (Challenge Question! Hint, you only have a $50, exactly, with you.) Which cell part is common to plant cells and animal cells?centriolescell wallchloroplastmitochondrion what is the answer 0,12km a m show work There are 47 maple trees currently in the park. Park workers will plant more maple trees todayWhen the workers are finished there will be 54 maple trees in the park. How many maple treedid the workers plant today? 1. Preeta watches an ant and a beetle crawl in a hole in the ground. The beetle is inch below ground level. The beetle climbs the distance the ant is below ground level. The beetle is now inches below ground level.(a) Let x = the position of the ant relative to ground level. What equation can be written to solve for x?(b) Solve the equation from Part (a). Show your work.(c) What is the distance between where the ant is and where the beetle is? Answer the question in a complete sentence. Show your work. Why does Elizabeth think John went toSalem?To see AbigailTo watch the trialsTo have fun A 144-inch board is cut into two pieces. One piece is five times the length of the other. Find the length of the shorter piece.The shorter piece is inches long. Which four components should be included in a good exercise program?power lifting to maximize muscle masslifting free weights for muscular strengthrunning or jumping for muscular endurancedrinking high-sugar sports beverages to give the body energyaerobics exercise for cardio-respiratory enduranceeating an all-vegetable diet to avoid too much fatstretching to maintain flexibility HELP PLEASE HELP HELP HELP HELP Cual es la cultura teatral de Miguel de Cervantes Saavedra Explain why the amount of water on Earth remains relatively constant? Please do 17-20! No work needed, please do fast this is due soon! Thank you!!