The area of a rectangular pool is (x + 17x + 72) square meters. The dimensions of the pool are the factors of this polynomial. There is a 3-meter-wide concrete walkway around the pool. Write expressions to represent the dimensions of the outside border of the walkway. (Lesson 21.1)​

Answers

Answer 1

Answer:

The walkway around the pool makes the entire outer dimensions (outer border)  

x+9+2x3=x+15  and  x+8+2x3

hope this helps!  could i get brainliest plz?

Answer 2

The expressions to represent the dimensions of the outside border of the walkway is  (x + 12) meters for the length and (x + 11) meters for the width.

Given area : [tex]x^2 + 17x + 72[/tex]

The factored form of the polynomial is:

[tex]x^2 + 17x + 72[/tex]  = [tex]x^2 + 8x+9x+72[/tex]

                      = x(x+8)+9(x + 8)

                          =(x + 9)(x + 8)

So, the dimensions of the pool are (x + 9) meters and (x + 8) meters.

The length of the walkway = 3 meters wide

So, the length is added to each side of the pool.

Dimensions of the outside border of the walkway:

Length: (x + 9) + 3 = x + 12 meters

Width: (x + 8) + 3 = x + 11 meters

Therefore, the dimensions of the outside border of the walkway are

(x + 12) meters for the length and (x + 11) meters for the width.

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Related Questions

Write ratios for sin C, cos C, and tan C

Answers

Answer:

sin c - 25/7

cos c - 7/24

tan c - 25/24

Step-by-step explanation:

is y+7=2x a direct variation

Answers

Answer:

No, y+7=2x does not represent direct variation

Step-by-step explanation:

No, y+7=2x does not represent direct variation, because of the constant (initial value) 7.

y = 2x represents direct variation; y = 2x - 7 does not.

Allen wants to have a mean of 90 on his math quizzes. So far, he has scored 86, 94, 88, 95, and 89. What is the least score that Allen needs on his next quiz to have a mean of 90?

Answers

Answer:

88

Step-by-step explanation:

[tex] \frac{86 + 94 + 88 + 95 + 89 + x}{6} = 90[/tex]

The mean would be the sum of all the math quiz grades divided by the number of quizzes taken.

Solve for x:

[tex]86 + 94 + 88 + 95 + 89 + x = 540[/tex]

[tex]452 + x = 540[/tex]

[tex]x = 88[/tex]

Thus, Allen needs at least an 88 to obtain a mean of at least 90.

Add the polynomials and write your answer in standard form.
(4x^3+6x-7) + (3x^3-5x^2-5x+9)

Answers

Answer:

we can simplify this and get 7x^3 -5x^2 + x +2

Step-by-step explanation:

round 3.26×5.15 yo significant figure​

Answers

Answer:

16.789

Step-by-step explanation:

The end of the number doesnt end in a 0 and all of the numbers after the decimal are significant

Answer:

16.789

Step-by-step explanation:

The end of the number doesn't end in a 0 and all of the numbers after the decimal are significant

If y varies directly as x, if y = 8 when x = 4, find y when x = 48

Answers

y=96 see explanation in attached photo

which answer is correct

Answers

Answer:

The answer is b

For each ordered pair determine whether it’s a solution to 5x plus 2y = -1

Answers

Answer:

1,-3

Step-by-step explanation:

f(x)= -x^2, Find f(3)

Answers

Let x = 3

f(3) = -(3)^2

f(3) = -(9)

f(3) = -9

You make $52,000 a year. Your state income tax rate is 2.5%. The state income tax allowance is $1500 per person and you have three allowances. They are yourself, your spouse and one child. How much income tax do you owe?​

Answers

Answer:

1,187.50

Step-by-step explanation:

Answer:

Step-by-step expiation

we know that their is an income tax rate of 2.5%, Since their is more than one person within the household, we will multiple the tax rate by 3

2.5% = 0.025

0.025 x 3 = 0.075

Then we will multiple the tax rate by our principal,

52,000 x 0.075 = 3,900

52,000 - 3,900 = 48,100

This will then give us our answer of $3,900 for the income tax rate that is owed, and as well as their new total income.

whats 2 other ways to write this equation:
40 = 19+7x

Answers

Answer:

1: 7x+19=40

2: 19+7x=40

Step-by-step explanation:

Of the males surveyed, what proportion selected small T-Shirt size

Answers

Answer:

this question doesn't make sense

The equation of a circle is x^2 + y^2 = 56.25

Answers

Answer:

Step-by-step explanation:

General equation of circle with center at (0, 0) : x² + y² = r²

x² + y² = 56.25

x² + y² = 7.5²

Radius = 7.5 units

Center (0 , 0)

Helloooo what yeaaa

What is the slope of the line that contains the points (-2, 7) and (2, 3)?
A. 4
O
B. 1
o
C. -1
D. -4
SUBMIT

Answers

Answer:

-1

Step-by-step explanation:

We can use the slope formula when given two points

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

   = ( 3-7)/(2 - -2)

   = (3-7)/( 2+2)

   = -4/4

    = -1

HELPPP PLEASEE!!!DONT ANSWER IF YOU DONT KNOW!!

Answers

Answer:

-4

Step-by-step explanation:

Find the smallest value of m such that the LCM of m and 34 is 374.

Answers

Answer:

11

first you use a number tree

34 374

/\ /\

2 17 2 187

/\

11 17

express the numbers in prime factors

374=2×11×17

34 =2×17

in finding LCM you use the highest prime factors in this case the highest prime factors are 2, 11 and 17

So m factors are 2 and 11

which means m is 2×11=22

22 in its smallest form is 11

If you were to roll a standard six sided die, what is the probability of rolling a number less than what three other people rolled?

Answers

0.3333
I assume you mean on a 6-sided die? If so, there are two numbers less than 3: 1 and 2. There are 6 total possible results, so the probability of rolling a number less than 3 is 26 or 13 or 0.3333 .

plz help i need some one to check if this is right :(

Answers

Answer: No, it's not. x should be 121

Step-by-step explanation:

Answer:

No it is 121

Step-by-step explanation:

22+37= 59

all angles add up to 180 degrees

180-59=121 degrees

Find the distance between the points (8, 1) and (5, 5).
Write your answer as a whole number or a fully simplified radical expression. Do not round.

___ Units

Answers

The distance between the points is 5

Work out the reciprocal of 0.125

Answers

Answer:

The right answer is 8 hope I helped

Does anyone know? Thank you!

Answers

4/3 and 6/5 set me as brainlyest plz

Answer:

4/3

if you put all of the fractions in decimal form 4/3 is the most because it equals 1.25

Answer all of these questions please and you will get 100 points!

Answers

Answer:

The first one is the first picture.

The second answer is zero.

I don't know how 2 do the 3rd sry

Step-by-step explanation:

Consider the function represented by the graph. What is the domain of this function?
A. {x|x=>0}
B. {x|x<=8}
C. {x|0<=x<=8}
D. {x|x<=0x=>8}

Answers

Answer:

I think it is B but i'm not 100% sure.

Step-by-step explanation:

Given the system of equations, what is the solution? x + 2y = 11 x - 2y = -1 o(-5, -3)} O [(1,1)] O [(5.3)]​

Answers

Answer:

2.2 results in a true equation, 2.2 is a solution to the equation.

Step-by-step explanation:

Step 1. Substitute the number for the variable in the equation.

Step 2. Simplify the expressions on both sides of the equation.

Step 3. Determine whether the resulting equation is true.

If so, the number is a solution.

If not, the number is not a solution.

HELP!!,I WILL GIVE BRAINLIEST!!!

Answers

Answer:

your answer will be Option A

Step-by-step explanation:

hope it helps

The question and information is on the photo pls if you can give me the work to.

Answers

Answer:

SI = 2052.61 ft

Step-by-step explanation:

cos 13 = 2000/SI

0.9744 = 2000/SI

multiply both sides by SI:

(SI)(0.9744) = 2000

divide both sides by 0.9744:

SI = 2052.61 ft

Can someone tell me how to do this? This is so confusing to me.

Answers

Answer:

A. Rate of Change: 25/1

B. Initial Value: 100

C. Y=25x+100

D. After 6 months the cost is 250$

E. 475=25x+100

475=25x+100

375=25x

x=15

So E. is 15 months

Step-by-step explanation:

Can someone plzzzz help meeee!!!!!

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Answer:

1. Interpret (L): To explain or to give meaning to.

2. Variable: (F) Something that can change or influence the results of an experiment.

3. Observe (I): To notice what occurs during an experiment.

4. Questions (B): The inquiry or problem relating to a topic that can be answered by conducting an experiment.

5. Scientific Method (A): A method of doing research that includes the steps of identifying a problem, gathering data, forming a hypothesis, testing a hypothesis, and drawing a conclusion.

6. Ethical (E): Following the rules of being being fair and honest.

7. Hypothesis (G): An educated guess or reasonable assumption.

8. Research (D): To conduct an investigation into current information about something.

9. Experiment (C): A test or trial performed in order  to discover something.

10.  Conclusion (K): The result or outcome of something.

11. Procedure (H): A sequence of steps involved in performing an experiment.

If this helps, please consider giving a thanks, a good rating, and Brainliest! Thanks!

The functions f(x) and g(x) are shown on the graph. f(x) = |x|

what is g(x)

Answers

Answer:

D

Step-by-step explanation:

Answer:

i just took it. its actually g(x)=|x+5|

Step-by-step explanation:

A cylinder has a radius of 5 inches and height of 20 inches.which is the surface area of the cylinder?
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2. 517 square inches
3. 3077 square inches
4. 785 square inches

Answers

Answer:

4

Step-by-step explanation:

use the formula to get the answer but i got 785.71.

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