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Ede4ka [16]
3 years ago
13

*MARKING BRAINLIEST*

Mathematics
1 answer:
wlad13 [49]3 years ago
6 0

Answer:

(x+y+z)^2

Step-by-step explanation:

x^2+2x(y+2)+(y+2)^2

there is a factoring rule where

a^2+2ab+b^2=(a+b)^2

So,

a = x

b = y + z

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A farmer plans to fence a rectangular pasture adjacent to a river the pasture must contain 405,000 square meters
jeyben [28]

The dimensions of the garden that will require the least amount of fencing are 450 m and 900 m and the perimeter of the area is 1800 m.

<h3>What is the area of the rectangle?</h3>

It is defined as the area occupied by the rectangle in two-dimensional planner geometry.

The area of a rectangle can be calculated using the following formula:

Rectangle area = length x width

Let's suppose x and y are the sides of the rectangular garden and y is the parallel to the river.

Then according to the problem:

2x + y = P ..(1)

P is the perimeter of the rectangle.

xy = 405000  (area of the rectangle)

Plug the value of y in the equation (1) from the above equation.

P(x) = 2x + 405000/x

P'(x) = x—405000/x² = 0

x = 450 m

P''(x) > 0 hence at x = 450 the value of P(x) is minimum.

y = 405000/450

y = 900 m

P(min) = 1800 m

Thus, the dimensions of the garden that will require the least amount of fencing are 450 m and 900 m and the perimeter of the area is 1800 m.

Learn more about the rectangle here:

brainly.com/question/15019502

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7 0
2 years ago
Can someone help me with this? thank you
Kipish [7]

Answer:82

Step-by-step explanation: the patch of grass is a 2 by 2 first find the area which is 4

then find the area of the garden forget the grass patch for now 8 x 11= 88 now 88 - 4 = 82ft

8 0
3 years ago
Read 2 more answers
Write an inequality for the graph. Then, in words, describe all the values of x that make inequality true.
GarryVolchara [31]
  • The equivalent inequality for the number line is x < 8
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<h3>Inequality functions </h3>

The inequality expression is an expression not separated by an equal sign,

11) The equivalent inequality for the number line is x < 8. This shows that the values of x that make it true must be less than 8.

Note that the sign is less than because the circle is open and moves towards the left of the number line

11) The equivalent inequality for the number line is x ≥-5. This shows that the values of x that make it true must be greater than or equal to 8.

Note that the sign is  greater than or equal to because the circle is closed and moves towards the right of the number line

Learn more on number line here:brainly.com/question/24644930

5 0
2 years ago
Which expression is equivalent to the given expression is no denominator equals zero?​
Rama09 [41]

Answer:

B: 4/d-6

Step-by-step explanation:

Plato answer

5 0
2 years ago
Which situation can be represented by this inequality? 120 ≤ 12k + 29 A. Felicia has 12 buttons in her collection. She will coll
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