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UkoKoshka [18]
3 years ago
7

A rectangular garden originally measured 5 feet by 10 feet as shown below.a path was created by increasing each side of the orig

inal rectangle by x-feet on both sides.if the area of the path that rings the garden is 54 square feet,find the value of x.
Mathematics
1 answer:
kotegsom [21]3 years ago
3 0
The area is given by
 A = (5 + 2x) * (10 + 2x) - 50
 Rewriting we have:
 A = 50 + 10x + 20x + 4x ^ 2 -50
 Rewriting we have:
 A = 4x ^ 2 + 30x
 Substituting the value of the area we have:
 54 = 4x ^ 2 + 30x
 Rewriting:
 4x ^ 2 + 30x - 54 = 0
 We look for the roots:
 x1 = -9
 x2 = 3/2
 We take the positive root:
 x2 = 3/2
 Answer:
 
the value of x is:
 
x = 3/2
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Ilya [14]

Answer:

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2 years ago
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3 years ago
Read 2 more answers
Help me I need the answer ASAP ! Aundrea painted the background of a square mural on the wall using 138ft^2 of paint .which meas
Klio2033 [76]

Hey there! I'm happy to help!

Since this mural is a square, all the sides are the same. This means that you square on of the sides to get the area (multiply it by itself). If we have the area and want to find a side, we just go backwards and use something called the square root!

If we plug this into our calculators...

√138≈11.74734

We see that is closest to B. 12 ft.

You could also figure this out without a calculator. 138 is very close to 144, which is 12². All the other answer options are way too big.

Have a wonderful day! :D

8 0
3 years ago
Find the domain of the function algebraically:<br><br> <img src="https://tex.z-dn.net/?f=R%28x%29%3D%5Cfrac%7Bx%7D%7Bx%5E%7B2%7D
BigorU [14]

The domain of the function is all real numbers except 2 and -1

Step-by-step explanation:

Domain is the set of inputs of a function on which the function is defined.

Given function is:

R(x) = \frac{x}{x^2-x-2}

In case of a function involving fraction, the function is undefined if the denominator is zero so in order to find the domain of the function algebraically , we have to find the values on which the function will be undefined

x^2-x-2 = 0\\x^2-2x+x-2 = 0\\x(x-2)+1(x-2) = 0\\(x+1)(x-2) = 0\\x+1 = 0 => x=-1\\x-2=0 = > x=2

The function will be undefined on x=-1 and x=2

So,

The domain of the function is all real numbers except 2 and -1

Keywords: Domain, functions

Learn more about domain and functions at:

  • brainly.com/question/2150928
  • brainly.com/question/2154850

#LearnwithBrainly

7 0
3 years ago
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lapo4ka [179]

Answer:

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Step-by-step explanation:

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4 0
3 years ago
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