Area of the rectangular yard = 96 square feet
Let us assume the length of the yard = x feet
Width of the yard = x - 4 feet
Then
Area of the yard = length * width
96 = x(x - 4)
96 = x^2 - 4x
x^2 - 4x - 96 = 0
x^2 - 12x + 8x - 96 = 0
x(x - 12) +8(x - 12) = 0
(x - 12)(x + 8) = 0
As the value of length cannot be negative so
x - 12 = 0
x = 12
So
Length of the yard = 12 feet
Width of the yard = x - 4 feet
= 12 - 4 feet
= 8 feet
Then
Perimeter of the yard = 2 (length + width)
= 2(12 + 8)
= 2 * 20 feet
= 40 feet.
So the perimeter of the yard is 40 feet.
The best and most correct answer among the choices provided by your question is the second choice or letter B.
The information provided by the magazine is <span>reliable because a front-loading washing machine saves 3,000 gallons of water per year and 3000 multiplied by 0.04 is 120.
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The rule of reflection in the image shown is: (x, -y).
<h3>What is Reflection?</h3>
Reflection is a transformation which creates a new image by flipping over a line of reflection. The new image is congruent to the original image after reflection. The rule of reflection over an x-axis is given as, (x, -y).
In the image given we can see that rotating triangle LMN over the x-axis gave us:
M(-5, 4) → M'(-5, -4)
L(-4, 2) → L'(-4, -2)
N(-2, 3) → N'(-2, -3)
Therefore, the rule of reflection is: (x, -y).
Learn more about reflection on:
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Answer:
The degree of the function is;
Explanation:
From the given graph, we can observe that the function has two extremum (one minima and one maxima).
The degree of the function will be the number of extremum plus 1;
Since there are two extremum on the graph then;
Therefore, the degree of the function is;
