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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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Answer:

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Step-by-step explanation:

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2 years ago
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A group of hikers walks 3 miles east and then 1 mile north. After taking a break, they then hike 4 miles east to their final des
geniusboy [140]

Answer:

The vector that describes their hike from their starting position to their final destination is \vec r = 7\,\hat{i}+1\,\hat{j}\,\,\,[mi].

Step-by-step explanation:

In this problem we assume that orthogonal axes coincide with the north and east. We proceed to translate each sentence from statement into vectorial equations:

(i) <em>A group of hikers walks 3 miles east and then 1 mile north:</em>

\vec r_{A} = 3\,\hat{i}+1\,\hat{j}\,\,\,[mi]

(ii) <em>After taking a break, they then hike 4 miles east to their final destination:</em>

\vec r_{B} = 4\,\hat{i}\,\,\,[mi]

The vector that describes their hike from their starting position to their final destination is the sum of the vectors deducted above. That is:

\vec r = \vec r_{A}+\vec r_{B}  (1)

\vec r = (3\,\hat{i}+1\,\hat{j})+4\,\hat{i}\,\,\,[mi]

\vec r = 7\,\hat{i}+1\,\hat{j}\,\,\,[mi]

The vector that describes their hike from their starting position to their final destination is \vec r = 7\,\hat{i}+1\,\hat{j}\,\,\,[mi].

6 0
3 years ago
Can someone help me with this?
Gekata [30.6K]

An

Step-by-step explanation:

5 0
2 years ago
Can someone show me the work for this?
Leya [2.2K]
We are given the equation or function <span> y = sqrt (2x + 1). The derivative of the equation is expressed as 

</span><span>1. dy/dt = 0.5 *2 *(2x + 1)^-0.5 dx/dt
</span>when x = 4 and dx/dt =3
dy/dt = 0.5 *2 *3*(2*4 + 1)^-0.5 
dy/dt = 1

2. <span>dy/dt = 0.5 *2 *(2x + 1)^-0.5 dx/dt
</span><span> If dy/dt = 5, find dx/dt when x = 12.
</span><span>    5= 0.5 *2 (2*12 + 1)^-0.5 dx/dt
   dx/dt = 1 </span>
7 0
2 years ago
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