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2 years ago

Explain the reflexive property

2 answers:

hjlf2 years ago

4 0

It means something relating to itself. Its like if you have a problem 5+3=8 using the reflexive property says that the same thing is 8=3+5.

yawa3891 [41]2 years ago

3 0

All it means is that a number equals itself, for example 5=5 (pretty obvious ik but it's that simple). Remember it by thinking that a number would look into the mirror and see itself in its reflection (kinda sounds like reflexive).

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9 dollars and 40 cents

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A sculpture is in the shape of a cylinder. The sculpture has a diameter of 10 feet and a height of 21 feet. Which measurement is

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2 years ago

You take a random token from a bag that contains 44? red, 1414? green, and 66? blue tokens. What is the probability your token i

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11/381

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3 years ago

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jenna's rectangular garden borders a wall. she buys 80 ft of fencing. what are the dimensions of the garden that will maximize i

FrozenT [24]

Answer:

The dimensions are x =20 and y=20 of the garden that will maximize its area is 400

Step-by-step explanation:

Step 1:-

let 'x' be the length and the 'y' be the width of the rectangle

given Jenna's buys 80ft of fencing of rectangle so the perimeter of the rectangle is 2(x +y) = 80

x + y =40

y = 40 -x

now the area of the rectangle A = length X width

A = x y

substitute 'y' value in above A = x (40 - x)

A = 40 x - x^2 .....(1)

Step :2

now differentiating equation (1) with respective to 'x'

$\frac{dA}{dx} = 40 -2x$ ........(2)

Find the dimensions

$\frac{dA}{dx} = 0$

40 - 2x =0

40 = 2x

x = 20

and y = 40 - x = 40 -20 =20

The dimensions are x =20 and y=20

length = 20 and breadth = 20

Step 3:-

we have to find maximum area

Again differentiating equation (2) with respective to 'x' we get

$\frac{d^2A}{dx^2} = -2$

Now the maximum area A = x y at x =20 and y=20

A = 20 X 20 = 400

Conclusion:-

The dimensions are x =20 and y=20 of the garden that will maximize its area is 400

verification:-

The perimeter = 2(x +y) =80

2(20 +20) =80

2(40) =80

80 =80

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3 years ago