Answer:
(2x – 7) × (2x + 7)
Step-by-step explanation:
From the question given above, the following data were obtained:
Area (A) = (4x² – 49) m²
Dimension =?
The picture in the question above has a rectangular shape. Thus, the area is given by:
Area (A) = Length (L) × Width (W)
A = L × W
The dimension of the shape will be:
L × W
Now, we shall determine the dimension (L × W) as follow:
Area (A) = (4x² – 49) m²
Dimension (L × W) =?
A = L × W
L × W = 4x² – 49
Recall:
4 = 2²
49 = 7²
Thus,
L × W = 2²x² – 7²
L × W = (2x)² – 7²
Different of two squares
L × W = (2x – 7)(2x + 7)
L × W = (2x – 7) × (2x + 7)
Dimension = (2x – 7) × (2x + 7)
Therefore, the possible dimension (L × W) of the shape is (2x – 7) × (2x + 7)
<span>f(x)=-6x-1
</span><span> X Y
0 -1
-1 5
6 -37
5 -31</span>
PEMDAS is an acronym that refers to the sequence of operations to be employed when solving equations with multiple operations. The solution of the given expression (2×2)² - [3+(2×2)]/(6-4) is 14.
<h3>What is PEMDAS?</h3>
PEMDAS is an acronym that refers to the sequence of operations to be employed when solving equations with multiple operations. PEMDAS is an acronym that stands for P-Parenthesis, E-Exponents, M-Multiplication, D-Division, A-Addition, and S-Subtraction.
As per the rule of PEMDAS, the given expression can be simplified as shown below.
(2×2)² - [3+(2×2)]/(6-4)
Step 1: Solving Parenthesis,
= 4² - (3+4) / (2)
= 4² - 4/2
Step 2: Solving exponents,
= 16 - 4/2
Step 3: Solving Divisions,
= 16 - 2
Step 4: Solving Subtraction,
= 14
Hence, the solution of the given expression (2×2)² - [3+(2×2)]/(6-4) is 14.
Learn more about PEMDAS here:
brainly.com/question/36185
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The answer will be 200 inches. 508 ÷ 2.54 = 200
This is known as "5 take 3", where ordering is not important.
