Your parents decide to build a rectangular pool in your backyard. They determine that the length of the pool should be 15 feet longer than the width.

Answers

Answer 1

The area of the pool is the amount of space it occupies

The expression for the area and the perimeter are [tex]\mathbf{A = 15x + x^2}[/tex] and  [tex]\mathbf{P = 4x +30}[/tex], respectively

Let the dimension of the pool be x and y, where x represents width and y represents length.

So, the relationship between the width and the length is given as:

[tex]\mathbf{y = 15 + x}[/tex]

The area of the pool would be:

[tex]\mathbf{A = xy}[/tex]

Substitute 15 + x for y

[tex]\mathbf{A = x(15 + x)}[/tex]

Open bracket

[tex]\mathbf{A = 15x + x^2}[/tex]

And the perimeter of the pool would be

[tex]\mathbf{P = 2(x + y)}[/tex]

Substitute 15 + x for y

[tex]\mathbf{P = 2(x +15 + x)}[/tex]

[tex]\mathbf{P = 2(2x +15)}[/tex]

Open brackets

[tex]\mathbf{P = 4x +30}[/tex]

Hence, the expression for the area and the perimeter are [tex]\mathbf{A = 15x + x^2}[/tex] and  [tex]\mathbf{P = 4x +30}[/tex], respectively

Read more about areas and perimeters at:

https://brainly.com/question/11957651


Related Questions

(HELP ASAP PLEAE!!)Expression A: 3x + 2
Expression B: 1 + 3x + 1
Which statement can be used to show that these expressions are equivalent?
A. 3x + 2 can be rewritten as 1 + 3x + 1 using the distributive
property
B. Both expressions involve addition.
C. Each expression includes the term 3x.
D. The expressions name the same number regardless of the value
of x.

Answers

Answer:

its c

Step-by-step explanation:

Darryl deposits $1,500 into a savings account that has a simple interest rate of 2.7%.
Lori deposits $1,400 into a savings account that has a simple interest rate of 3.8%.
If no other transactions are made, who will have more money in their account after 10 years? How much more?

Answers

Answer:

12

Step-by-step explanation:

Katie jogged a total distance of 8 and 1 over 2 miles during the months of January and February. If Katie only jogged 1 over 4 mile every day, which expression shows the number of days she went jogging? (1 point)

Group of answer choices

8 and 1 over 2 ÷ 1 over 4

8 and 1 over 2⋅ 1 over 4

8 and 1 over 2 + 1 over 4

8 and 1 over 2 − 1 over 4

Flag question: Question 4

Answers

Answer:

  (a)  8 1/2 ÷ 1/4

Step-by-step explanation:

Katie's total mileage is the product of the miles per day (1/4) and the number of days (n).

  miles = (1/4)n

If Katie jogged 8 1/2 miles, then we have ...

  8 1/2 = (1/4)n

We find the value of n (the number of days) by dividing both sides of this equation by the coefficient of n:

  (8 1/2) ÷ (1/4) = n

_____

Additional comment

If you consider the units, you know that the only possible operation is division. The number 8 1/2 has units of miles. The number 1/4 has units of miles per day.

  [tex]\dfrac{\text{miles}}{\left(\dfrac{\text{miles}}{\text{day}}\right)}=\dfrac{\text{miles}\cdot\text{day}}{\text{miles}}=\text{days}[/tex]

If you multiply, the product units are miles²/day. You cannot add or subtract numbers with different units. (They are not "like terms".)

As here, "units analysis" often tells you what math operations are needed, and which ones make no sense whatever.

what is the height of h of the triangle?

Answers

Answer:

4.23 feet

Step-by-step explanation:

We need to use the inverse sine function to solve for h. Since sine = opposite / hypotenuse, we can set up the equation like this: sin(30) = h / 25.5. To solve for h, isolate the h by multiplying both sides: h = 25.5 * sin(30). So the height of the triangle is approximately 4.23 feet.

PLS ANSWER FAST!!

Write an equation of the line with a slope of 3 and a y-intercept of -7 .

Answers

Answer:

y = 3x - 7

Step-by-step explanation:

For an equation in the format y = ax + b, a is the slope and b is the y intercept.

Central/Inscribed angles w work pls i beg last one

Answers

Answer:  346/45

=======================================================

Explanation:

Let point A be the center of the circle.

The inscribed angle CED doubles to the central angle CAD due to the inscribed angle theorem.

angle CAD = 2*(angle CED)

angle CAD = 2*(7x+6)

angle CAD = 14x+12

Angle CAD is the same as minor arc CD. These are two different ways to describe the same thing more or less. This is because the central angle subtends or cuts off the minor arc CD.

-----------

The three arc pieces CE, ED and CD all combine to form a 360 degree circle.

(arc CE) + (arc ED) + (arc CD) = 360

(18x+1) + (13x+1) + (14x+12) = 360

(18x+13x+14x) + (1+1+12) = 360

45x+14 = 360

45x = 360-14

45x = 346

x = 346/45

This approximates to roughly x = 7.6889, but I have a feeling your teacher will want the fraction form.

The height of a door is 1.6 feet longer than its width, and its front area is 1489.3 square feet. Find the width and height of the door

Answers

Answer:

The width of the door to be 39.10 ft, and the height to be 40.7 feet.

sarah hanged 12/9 Ornaments on the christmas tree but tom only hanged 3 4/3 Ornaments. how many Ornaments did both hanged on the tree altogether

Answers

Answer:

12/9+3 4/3 = 5 2/3 or 17/3

Step-by-step explanation:

Answer:

its 16/12 all together but if you do simplify its 0.75 hope this helped (❁´◡`❁) LOL.

Step-by-step explanation:

Sarah hanged 12/9 Ornaments on the Christmas tree but tom only hanged 3 4/3 Ornaments. how many Ornaments did both hanged on the tree altogether

I need to find out the answer for this problem...

Answers

Answer:

where is the problem to solve. please tell me

A farmer had 21 goats all but 9 died how many survive ?

Answers

Answer:

9

Step-by-step explanation:

All but 9

Answer:

12

Step-by-step explanation:

I used a calculator I hhhhhhj

If f(x) = 3^{2+x}-3f(x)=3
2+x
−3, what is the value of f(-4)f(−4), to the nearest hundredth (if necessary)?

Answers

The answer would be -2.89

To solve this function, the x is replaced with the new value (-4) This means that once simplified it turns into 3^(-2) - 3
Once simplified this value equals -2.89 when rounded

14 yd 2 ft + 9 yd 2 ft

Answers

Answer:

24yd 1ft

Step-by-step explanation:

14+9 = 23

2+2 = 4

1yd = 3ft

4ft = 1yd 1ft

Answer:

14 yd 2 ft + 9 yd 2 ft = 73 feet

hope this helps

2x-32=12
means they spent how much

Answers

Answer:

22

Step-by-step explanation:

(8 points) will mark brainliest!! pls help:)

Answers

Answer:

7/10

Step-by-step explanation:

Have a nice day

Answer:

2.1

hope this helped

Which of the following is the graph of

Answers

Answer: C

Step-by-step explanation:

*WILL GIVE BRAINLIEST FOR BEST ANSWER*
Subtract. Write your answer in scientific notation.
(5.6×106)–(1.1×106)

Answers

Answer:

447

Step-by-step explanation:

Historically, 48% of people have rented their residence. A random sample of 500 people is taken. 260 of them rent (as oppose to own) their residence. A researcher is studying the claim that the percentage of people renting has increased. Compute the value of the test statistic for this hypothesis test. Round your answer to 2 decimal places.

Answers

Answer:

1.79

Step-by-step explanation:

^p = x/n

    = 260/500

    = 0.52

z = p1-p2 / √^p(1-p)/n

  = 0.52 - 0.48 / √0.48x(1-0.48)/500

  = 1.79

Hey can anyone help me with these please and thank you !

Answers

Answer:

I would be able to help you but I cant see the work that well. hope you figure it out.

Step-by-step explanation:

If 2x + y = 7, what is the value of y when x = 3? A. 1 B. 3 C. 5 D. 7 E. 9

Answers

Answer:

the correct answer is A.1

the result is explained below in the photo

Answer:

y = 1

Step-by-step explanation:

2x + y = 7

x = 3

plug in 3 for x

2(3) + y = 7

Multiply 2 * 3

6 + y = 7

Therefor y = 1

which histogram helps best predict how much time until the next customer comes into the Clothes Shoppe.

Answers

Brodie I need help with this too dm me when u got the answer thanks love
Ps. - don’t forget to dm me

Q1). A={1,2,3} B={2,3,4}. Find (A∩B) xA​

Answers

Step-by-step explanation:

Given sets are :

A = {1, 2, 3}

B = {2, 3, 4}

AnB = {1, 2, 3} n { 2,3,4 }

AnB = {2,3}

Now

(AnB) X A

⇛ { 2,3 } X { 1 , 2, 3 }

⇛ { (2,1) , (2,2) , (2,3) , (3,1) , (3,2) , (3,3) }

(AnB) X A for the given problem is

{ (2,1) , (2,2) , (2,3) , (3,1) , (3,2) , (3,3) }

help pls I'll give briliantest and give I 10 points please I need helpppp​

Answers

Answer:

P=-120

Step-by-step explanation:

This might be higher level than I am since I am still a student but p=-120i know that

What is the solution to -5m = -40?


A. m = -8
B. m = 200
C. m = -200
D. m = 8

Answers

D- M=8
-5m= -40
-5/-5m=-40/-5
M=8
The answer is d m=8 hope it helps

AYUDA!!!!!!! Pls help me answer

Answers

You don't mention what's the question

E is 54, f 126. D 126

Eve is going to buy 70 pens from either shop A or shop B.

Shop A : pack of 10 pens for £ 2.30
Shop B : pack of 5 for £ 1.60 buy 1 pack and get 1 half price .

What is the difference in cost for all 70 pens between the two shops ?

Answers

Answer:  0.70

Step-by-step explanation: Shop A: 2.20*7=15.40

Shop B: 7 packs with full price and seven with half

So, 1.40*7=9.80 and 9.80/2=4.90 is price of other seven

Take sum 9.80+4.90=14.70

So the difference between the two shops is

15.40-14.70=0.70 hope i helped have a good afternoon

-15(-4)
pls solve, this is page 237 in 7th grade math book, problem 2

Answers

The answer is -19!

Hope this helps! :)

Answer: 60

Step-by-step explanation:

The negatives cancel each other out and you are left with 15 times 4

Choose which diagram

Answers

I assume it’s D but I’m not sure.
D because the lines match and all on how it mentions on the questions
Yeah it has to be D,hopefully it is

If the value of a=2,y=3,find the value of x in ax/y=10

Answers

[tex]\dfrac{ax}y =10\\\\\implies \dfrac{2x}{3} = 10\\\\\implies 2x = 30\\\\\implies x = \dfrac{30}2 = 15[/tex]

Answer:

x = 15

Step-by-step explanation:

[Given] ax/y=10

[Rewrite] [tex]\frac{ax}{y} =10[/tex]

[Plug-in] [tex]\frac{(2)x}{(3)} =10[/tex]

[Simplify] [tex]\frac{2x}{3} =10[/tex]

[Multiply both sides by 3] 2x = 30

[Divide both sides by 2] x = 15

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

what is the radius and diameter of the following circle ? 5.1 cm ?

Answers

5.1cm is 2.00787 inch’s

please help me on my math , I need help :(

Answers

Answer:

ask sombody else

Step-by-step explanation:

guess we dont

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