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ANEK [815]
2 years ago
14

louise bought 80 metres of fencing to make an enclosure for her pet dog .tommy if louise expects a rectangular enclosure what is

the largest area it can have ? explain your answer​
Mathematics
1 answer:
OleMash [197]2 years ago
3 0

Answer:

400 m^2.

Step-by-step explanation:

The largest  area is obtained where the enclosure is a square.

I think that's the right answer because a square is a special form of a rectangle.

So the square would be 20 * 20  = 400 m^2.

Proof:

Let the  sides of the rectangle be x and y m long

The area A = xy.

Also the perimeter  2x + 2y = 80

x + y = 40

y = 40 - x.

So substituting for y in A = xy:-

A = x(40 - x)

A = 40x - x^2

For maximum value of A  we find the derivative and equate it to 0:

derivative A' =  40 - 2x = 0

2x = 40

x = 20.

So y = 40 - x

= 40 - 20

=20  

x and y are the same value so x = y.

Therefore for maximum area the rectangle is a square.

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Step-by-step explanation:

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sqrt(40x) × x - 2x × sqrt(5) =

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therefore, the last option is correct.

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2 years ago
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Answer:

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3 years ago
practice factoring a difference of squares. which expressions represent a perfect square monomial and its square root? check all
ohaa [14]

The perfect square monomial and its square root are shown in options 1, 2, and 5.

  • A perfect square in mathematics is an expression that factors into two equally valid expressions. A monomial is a single phrase that is made up of the product of positive integer powers of the constants, variables, and constants. Consequently, a monomial that factors into two monomials that are the same is called a perfect square monomial.
  • 1) 121, 11
  • 11² = 121
  • A perfect square monomial and its square root are represented by this equation.
  • 2) 4x², 2x
  • (2x)² = 4x²
  • A perfect square monomial and its square root are represented by this equation.
  • 3) 9x²-1, 3x-1
  • (3x-1)² = 9x²- 6x +1
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  • 4) 25x, 5x
  • (5x)² = 25x²
  • This phrase does not depict a square monomial and its square root in perfect form.
  • 5) 49(x^4), 7x²
  • (7x²)² = 49(x^4)
  • A perfect square monomial and its square root are represented by this equation.

To learn more about monomial, visit :

brainly.com/question/9183135

#SPJ4

8 0
1 year ago
Please help #11 ty!!
algol13

I think it is A I believe

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3 years ago
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You will need 6/4 or 1 1/2 cups of blueberries to make 48 muffins (2 dozen),
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Read 2 more answers
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