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2 years ago

9. You are installing a swimming pool. Write a polynomial that represents the area of the walkway

Mathematics

1 answer:

Anastasy [175]2 years ago

6 0

Answer:

(10x² +12x +32) ft²

Step-by-step explanation:

The area of the walkway around the pool is the difference between the area of the entire rectangle, and the area of the pool. The area of each rectangle is found by multiplying its length and width.

Overall area:

((2x +6) ft) × (10x) ft = (10x² +60x) ft²

Pool area:

((6x -4) ft) × (8 ft) = (48x -32) ft²

Walkway area:

overall area - pool area = ((10x² +60x) ft²) -((48x -32) ft²)

= (10x² +12x +32) ft²

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Yakvenalex [24]

Answer:

the answer is 5

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Step-by-step explanation:

3 0

2 years ago

Simplify the rational expression. state any restrictions on the variable. n^4-11n^2+30/n^4-7n^2+10

Andrej [43]

For this case we have the following expression:
 $\frac{n ^ 4-11n ^ 2 + 30}{ n ^ 4-7n ^ 2 + 10} 

$
 We are going to make the following change of variables:
 $x = n ^ 2
$
Rewriting the expression we have:
 $\frac{(x ^ 2-11x + 30)}{(x ^ 2-7x + 10)} 

$
Factoring the expression we have:
 $\frac{(x-5) (x-6)}{(x-5) (x-6)} 
$
Canceling similar terms we have:
 $\frac{x-6}{x-2} 
$
Returning the change we have:
 $\frac{n ^ 2-6}{n ^ 2-2} 

$
 The resctrictions of the function are those that make the denominator equal to zero.
We have then:
 $n ^ 2-2 = 0

n = +/- \sqrt{2} 
$
 Answer:
The simplified expression is:
 $\frac{n ^ 2-6}{n ^ 2-2}$
The restrictions are:
 $n = \sqrt{2} 
$
$n = - \sqrt{2}$

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3 years ago

A digital camera for 249.99 at 4% sales tax

spin [16.1K]

First round up 249.99 to 250.00

Then change the 4% into a decimal= 1.04

Now multiply so the equation is= 250 x 1.04 =

$260 as your answer!

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3 years ago

I really need help with this algebra problem: 5a=89

stiks02 [169]

Divide 5 by 89 and you get a=17.8

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3 years ago

PLZZZZZ HELP ME! :) XDDD

Taya2010 [7]

In order to figure out what the answer is you would have to divide the number of feet it fell by the time. If you do 35.75 divided by 3.25 it would be 11.
So the answer most likely would be 11
Please correct me if I am wrong
Have a great day!

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3 years ago