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maks197457 [2]
3 years ago
9

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.
Mathematics
1 answer:
vredina [299]3 years ago
8 0

Answer:

A = 4x^2 + 86x + 450

Step-by-step explanation:

Given

Walkway = x

Length = 18

Width = 25

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:

L = 18 + x + x

L = 18 + 2x

The total width (W) will be:

W = 25 + x + x

W = 25 + 2x

The area (A) is:

A = L * W

A = (18 + 2x) * (25 + 2x)

Expand bracket

A = 18 * 25 + 18 * 2x + 25 * 2x + 2x * 2x

A = 450 + 36x + 50x + 4x^2

A = 450 + 86x + 4x^2

Reorder

A = 4x^2 + 86x + 450

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The correct answer is D
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Read 2 more answers
What is the surface area of this rectangular pyramid?
Alexxx [7]

Answer:

304m^2

Step-by-step explanation:

First find the surface area of the base by multiplying the length by the width.

(12m) (8m)= 96m^2

Second, find the surface area of the front and back triangles using the formula <em>1/2 (base) (height)</em>. Use the length for the base.

1/2 (12m) (10m)= 60m^2

Next, find the surface area of the side triangles using the formula <em>1/2 (base) (height). </em>Use the width as the base.

1/2 (8m) (11m)= 44m^2

Last, add the surface area of each section. Make sure you add the area of each face.(we only solved for 1 of the front/ back triangles and 1 of the side triangles) To make it easier to understand I wrote out an equation to show how I added the surface areas.

base=a, front/ back triangles= b, side triangles=c

SA= a + 2b +2c  or SA= a +b +b +c +c

Using one of the equations above solve for the total surface area.

SA= (96m^2) + (60m^2) +(60m^2) +(44m^2) +(44m^2)

or

SA= (96m^2) + 2(60m^2) +2(44m^2)

SA=  (96m^2) +(120m^2) +(88m^2)

SA= 304m^2

7 0
3 years ago
which of these shows the result of using the first equation to substitute for y in the second equation, then combining like term
Furkat [3]

Answer:

C. \Rightarrow \bold{8x = 16}

Step-by-step explanation:

Given the two equations:

y=2x ........ (1)\\ 2x+3y=16.......(2)

To find:

The correct option when value of y is substituted to 2nd equation using the 1st equation.

Solution:

First of all, let us learn about the substitution method.

Substitution method is the method to provide solutions to two variables when we have two equations and two variables.

In substitution method, we find the value of one variable in terms of the other variable and put this value in the other equation.

Now, the other equation becomes only single variable and then we solve for the variable's value.

Here, we have two equations and value of one varible is:

y=2x

Let us put value of y in 2nd equation:

2x+3y=16\\\Rightarrow 2x + 3(2x) = 16\\\Rightarrow 2x + 6x = 16\\\Rightarrow \bold{8x=16}

So, the correct answer is option C. \Rightarrow \bold{8x = 16}

7 0
3 years ago
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