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sesenic [268]
3 years ago
9

Sam decides to build a square garden. If the area of the garden is 9x2 − 24x + 16 square feet, what is the length of one side of

the garden?
(3x + 4) feet

(3x − 4) feet

(4x − 3) feet

(4x + 3) feet ...?
Mathematics
2 answers:
Pachacha [2.7K]3 years ago
6 0
<span>(3x − 4) feet

Solve as a square:
(3x - 4)(3x - 4) = </span><span>9x</span>²<span> − 24x + 16</span>
worty [1.4K]3 years ago
5 0

Answer:  The correct option is (B) (3x-4).

Step-by-step explanation:  Given that Sam decides to build a square garden whose area is as follows:

A=9x^2-24x+16~\textup{square feet}.

We are to find the length of one side of the garden.

Since the given garden is of a square shape, so the length of each side is same.

That is, the area of the garden must be a perfect square trinomial.

We have

A\\\\=9x^2-24x+16\\\\=(3x)^2-2\times 3x\times 4+4^2\\\\=(3x-4)^2.

Since the area of a square is (length)², so the length of one side of the garden is (3x-4)~\textup{feet}.

Thus, (B) is the correct option.

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beks73 [17]

A graph which includes the possible values for number of people who can still sign up for the team is: B. number line with closed circle on 5 and shading to the right.

<h3>What is a number line?</h3>

A number line can be defined as a type of graph with a graduated straight line which contains numerical values (positive and negative numbers) that are placed at equal intervals along its length.

Let the number of people who can still sign up for the team be represented by x. Thus, the inequality is given by:

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This ultimately implies that, there could be five (5) or more people that can still sign up for the team and a graph which includes these possible values is a number line with closed circle on five (5) and shading to the right because it can get larger.

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

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