You are making a walkway around part of a swimming pool. The dimensions of the swimming pool are 18 and 25, while the dimensions of the walkway are x. Write a polynomial that expresses the area of the swimming pool.

Answers

Answer 1

Answer:

[tex]A = 4x^2 + 86x + 450[/tex]

Step-by-step explanation:

Given

[tex]Walkway = x[/tex]

[tex]Length = 18[/tex]

[tex]Width = 25[/tex]

Required:

The area of the swimming pool

Assume the walkway will be on the 4 sides of the swimming pool.

The total length (L) of the swimming pool will be:

[tex]L = 18 + x + x[/tex]

[tex]L = 18 + 2x[/tex]

The total width (W) will be:

[tex]W = 25 + x + x[/tex]

[tex]W = 25 + 2x[/tex]

The area (A) is:

[tex]A = L * W[/tex]

[tex]A = (18 + 2x) * (25 + 2x)[/tex]

Expand bracket

[tex]A = 18 * 25 + 18 * 2x + 25 * 2x + 2x * 2x[/tex]

[tex]A = 450 + 36x + 50x + 4x^2[/tex]

[tex]A = 450 + 86x + 4x^2[/tex]

Reorder

[tex]A = 4x^2 + 86x + 450[/tex]


Related Questions

PLEASEE HELPPP
Calculate the measures for the data set using pencil and paper. Round to the nearest
tenth, if necessary.

1. Number of absent students:
0,1,1,0,3,2,5,1,9,0

Find the:
Mean
Median
Lower quartile
Upper quartile
Range
Interquartile range
Five-number summary
Mean absolute deviation
Standard deviation

Answers

Answer:

Mean x¯¯¯ 2.2

Median x˜ 1

Range = 9

Q1 --> 0

Q2 --> 1

Q3 --> 3

Interquartile range: 3

Mean Absolute Deviation (MAD): 2.08

Standard deviation : 2.71

Step-by-step explanation:

1. Number of absent students:

0,1,1,0,3,2,5,1,9,0

Find the:

Mean

0, 0, 0, 1, 1, 1, 2, 3, 5, 9/10

= 22/10

= 2.2

Median

0, 0, 0, 1), 1, 1, (2, 3, 5, 9

= 1 + 1/2

= 2/2

= 1

Lower quartile

Upper quartile

Range

= 9 - 0

= 9

Interquartile range = 3

Mean absolute deviation = 2.08

Standard deviation = 2.71

A sign next to a roller coaster at an amusement park says, “You must be at least 60 inches tall to ride.” Noah is happy to know that he is tall enough to ride.

Noah is x inches tall. Which of the following can be true: x>60, x<60, or x=60?
Explain how you know.

Answers

Answer:

x>60 or x=60

Step-by-step explanation:

The must be 60 or more inches.

Answer:

x=60 and x>60

Step-by-step explanation:

if he is taller > or equal = to 60 than he can ride

Evaluate the expression when a – 3 and c = 12
[tex] \frac{ c}{a} \: = [/tex]

Answers

Answer:

4

Step-by-step explanation:

First, let's replace the c with 12, and the a with 3, since those are the values given.

Now we have 12/3.

12 ÷ 3 = 4

So, c/a = 4.

Increase 400 by 20% please

Answers

480 is the answer i hope it is correct

The coordinates for the vertices of Quadrilateral MNPQ are M (3,0), N (1,3), P (-2,1) and Q (0,-2) Classify quadrilateral MNPQ show your work!

Answers

Hope that helped

I'm not sure if that's right

Evaluate the expression for n=-3

Answers

Answer:

5n is your answer hope this help

A geometric sequence has an initial value of 2 and a common ratio of 3. Which formula would be more practical to use if you were looking find the value of the 19th number in the sequence?

Answers

Answer:

19th term = ar^18

19th term = 774,840,978

Step-by-step explanation:

First term, a = 2

Common ratio, r = 3

nth term of a geometric sequence = ar^(n-1)

19th term = ar^(19-1)

19th term = ar^18

= 2 × 3^18

= 2 × 387,420,489

= 774,840,978

19th term = 774,840,978

How many different ways can the letters of "Mississippi" be arranged.

Answers

Answer: .........34,650

Step-by-step explanation:

Answer:

Mississippi has 11 letters in it so

11 · 10 · 9 · 8 · 7 · 6 · 5 · 4 · 3 · 2 · 1 = 11! or 39,916,800

Step-by-step explanation:

I need help with these questions can someone help me please?

Answers

Answer:

angle m 1 = 155°

angle m 2 = 25°

angle m 3 = 155°

angle m 4 = 25°

angle m 5 = 25°

angle m 6 = 155°

angle m 7 = 25°

angle m 8 =155°

1st Vertically opposite angle

2nd Linear pair

3rd Corresponding angle

4th Angle Alternative

5th Angle Alternative

Plzzz mark me as brainliest :)

Explaination:

angle m 2 = angle m 7 = angle m 4 is 25°

angle m 1 = angle m 3 = angle m 6 = angle m 8 is 155°

The Earth's crust is ___
thin
fragile
the outermost layer
all of the above

Answers

Answer:

all of the above po

Step-by-step explanation:

sana makatulong

Answer:

Extremely

Step-by-step explanation:

Enter a number in each box so that the expressions are equivalent. (A) 0.8 (2x + x) + 3(7 - 4.1x) = x + 21 (B) 12 1 2 (6x + 22y) = x + y (C) (3x - ) - (6x + 1) = -3x - 2 (D) 112 1 2 x + 27y = (12 1 2 x + 9y)

Answers

The questions aren't well formatted ; from the values that are observable,

Answer:

Coefficient of x = -9.9 ;

Coefficient of x = 75

Coefficient of y = 275

Step-by-step explanation:

Given :

0.8 (2x + x) + 3(7 - 4.1x) = __x + 21

0.8(3x) + 21 - 12.3x = __x + 21

2.4x + 21 - 12.3x = __x + 21

-9.9x + 21 = __x + 21

-9.9

12 1/2 (6x + 22y) = x + y

75x + 275y = x + y

Answer:

The answers are:

1.  -9.9x

2.  3x + 11y

3.  1

4.  3

PLEASE HELP! 20 POINTS + BRAINLIEST WILL BE GIVEN
Jim is hoping that a park will be built within 5 miles of his house. If a park is built at the coordinates (12, 10), does that meet Jim’s criteria? Explain.

Answers

Answer:

yes 4.4 miles away

Step-by-step explanation:

The park at the coordinates (12, 10) does not meet Jim's criteria of being within 5 miles of his house.

What are coordinates in a graph?

The coordinates in a graph indicate the location of a point with respect to the x-axis and y-axis.

The coordinates in a graph show the relationship between the information plotted on the given x-axis and y-axis.

We have,

To determine if the park at coordinates (12, 10) meets Jim's criteria of being within 5 miles of his house,

We need to calculate the distance between Jim's house at the coordinates

(17, 13) and the park at coordinates (12, 10).

We can use the distance formula to calculate the distance between two points in a coordinate plane:

[tex]d = \sqrt{((x_2 - x_1)^2 + (y_2 - y_1)^2)}[/tex]

where d is the distance between the two points:

[tex](x_1, y_1) and (x_2, y_2).[/tex]

Using the coordinates of Jim's house and the park,

We can calculate the distance between them:

d = √((12 - 17)² + (10 - 13)²)

d = √((-5)² + (-3)²)

d = √(25 + 9)

d = √(34)

The distance between Jim's house and the park is √(34), which is approximately 5.83 miles.

This is greater than Jim's criteria of 5 miles, so the park at the coordinates

(12, 10) does not meet Jim's criteria of being within 5 miles of his house.

Thus,

The park at the coordinates (12, 10) does not meet Jim's criteria of being within 5 miles of his house.

Learn more about coordinates here:

https://brainly.com/question/13118993

#SPJ3

I NEED HELP WILL MARK BRAINLIEST

Answers

Answer:

4.5 units

Step-by-step explanation:

Graph 0.65 on the number line. PLEASE HURRY

Answers

Answer:

The answer is 3rd line infront of 0.5 2nd line behind 0.75

Step-by-step explanation:

It goes 0.5, 0.55, 0.60, 0.65, 0.70,0.75

think of .5 as 50 and skip count by 5s up to .75 where i marked the red line is .65 tho

3|4x-9=27
how to solve this​

Answers

Answer: x=48

Step-by-step explanation:

first add 9 to both sides

then add 27 to 9 to get 36

multiply both sides by 3/4 the reciprocol of 4/3

and youll get x=36 x (4/3)

simply to a single fraction then

then divide 144 by 3  to get 48

We will give brain list please help PS ignore the black stuff it’s private information

Answers

Answer:

the last one? i think.

Step-by-step explanation:

Answer:

It's 6^{2}b^{15}

Step-by-step explanation:

:) Hope that helped

2. Find each difference. If you get stuck, consider drawing a nu
a. 9-4
b. 4-9
c. 9-(-4)
d. -9 - (-4)
e.-9-4
f.4 - (-9)
g. -4-(-9)
h. -4 -9
I need help

Answers

Answer:

a. 5

b. -5

c. 13

d. -5

e. -13

f. 13

g. 5

h. -13

A.5
B.-5
C.13
D.-5
E.-13
F.13
G.5
H.-13

A health club manager wants to determine whether the members would prefer a new sauna or a new steam room. The club surveys 50 of its 600 members. What is the population of this study?

Answers

The population of the study is club members who were asked whether they preferred a new sauna or new steam room

What is the slope of the line that passes through points (0, 7) and (−3, 0)?
A. -7/3
B. 7/3
C. -3/7
D. 3/7

Answers

M= y2-y1 / x2-x1
M= 0-7 / -3-0
M= -7/-3
M= 7/3 (because it’s a double negative)

Hope this helps!!

Express 620 ft in yards and feet

Thanks

Answers

Answer:

around 206 yards and 2 feet

7/10 is what percent of 7/8

Answers

Answer:

0.6125 (or 6,125/1,000)

If you need more help, don't hesitate to ask!

I'm here until 2:30!

May I please have brainliest?

Answer:

80%

Step-by-step explanation:

7/8 = 87.5/100

7/10 = 70/100

new equation: 70 is what percent of 87.5

87.5/100=0.875 so 0.875=1% so now we divide 70 by 0.875

70/0.875=80 so 7/10 is 80% of 7/8

hope this helps have a blessed day :^)

What is the equation of the line that passes through the point (-4, 2) and has a
slope of ?

Answers

in between -4 and 2 so maybe -2 because it’s not2

PLS HELP WILL GIVE BRAINLEST
Which figure can be formed from the net?

An unfolded square base pyramid with the sides of the base being eight millimeters and the length from the base to the tip is ten millimeters.

A) A pyramid with a triangle base has two sides measurements of ten millimeters. The length from the base to the tip of a triangle is eight millimeters.

B)A pyramid with a triangle base has two sides measurements of eight millimeters. The length from the base to the tip of a triangle is ten millimeters.

C)A pyramid with a square base has two sides measurements of ten millimeters. The length from the base to the tip of a triangle is eight millimeters.

D)A pyramid with a square base has two sides measurements of eight millimeters. The length from the base to the tip of a triangle is ten millimeters.

Answers

Answer:

D

Step-by-step explanation:

Find out the reason why

Answers

Oh okay so it’s a math problem

Solve for x - (4x-5y) = (-5y+4)

Answers

Answer:

X= 10/3y + -4/3                

Step-by-step explanation:

Step One: add -5y to both sides

Step two: divide both sides by -3

Answer:

-x=1 1/3

Step-by-step explanation:

x-(4x-5y)=(5y+4)

x-4x+5y=5y+4

-3x+5y=5y+4

5y-5y=0

-3x=4

x=4÷3

4÷3=1 1/3

HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP

Which is an equation of the function graphed?

A. Y=-2x^2+4x-2
B. Y=-2x^2-4x+2
C. Y=-2x^2-4x-2
D. Y=-2x^2+4x+2

Answers

Answer:

D is the right answer

Step-by-step explanation:

Y= 2, X=2

According to D,

2= 2*4+8-2

2=8-8+2

2=2

Please help, will give brainliest answer

Answers

I do khan academy 2 but sorry the answer

HELP PLS ITS URGENT! will give brainliest if answers these 2 questions correctly

Answers

Answer:

Domain = -6 ≤ x ≤ 6   Range = -1 ≤ y ≤ 3

Step-by-step explanation:

The domain is the interval on the x-axis and the range is the interval on the y-axis.

Reagan has a rectangular bedspread that measures 238 centimeters by 435 centimeters. She wants to sew a fringe around the edge of the bedspread. WHAT LENGTH OF FRINGE DOES REAGAN NEED TO USE?

Answers

Answer: 1346cm

Step-by-step explanation:

From the question, we are informed that Reagan has a rectangular bedspread that measures 238 centimeters by 435 centimeters and that he wants to sew a fringe around the edge of the bedspread.

This simply means that we have to find the perimeter of the rectangular bedspread and this will be:

= 2(length + width)

= 2(435 + 238

= 2(673)

= 1346cm

The length of fridge needed by Reegan is 1346cm.

Answer:

1346

Step-by-step explanation:

If you spin the spinner 11 times, what is the best prediction possible for the number of times it will land on yellow?
yellow:4
green:3
pink: 4​

Answers

Where's the spinner ? Like the picture .
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