Perimeter of a square: side length * 4, since squares have equal side lengths
Take 2x - 3 for the side length and plug it into the formula.
(2x - 3) * 4 can be rewritten as 4(2x - 3)
Distribute 4 inside the parentheses.
8x - 12 = perimeter of the square
The prove that the equation can be verified using the laws of exponents.
<h3>What is the proof of the equation given; 2^(2x+4)= 16 × 2^(2x)?</h3>
It follows from the task content that the equation given is; 2^(2x+4)= 16 • 2^(2x).
It follows from the laws of indices ; particularly, the product of same base numbers.
The evaluation is therefore as follows;
2^(2x+4)= 16 • 2^(2x)
2^(2x) • 2⁴ = 16 • 2^(2x)
2^(2x) • 16 = 16 • 2^(2x)
Hence, since LHS = RHS, it follows that the expression is mathematically correct.
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Since the lines have the same slopes, hence they are parallel lines
<h3>How to determine the relationship between lines</h3>
We can determine the relations by knowing the slopes of the line
For the line with coordinates (9, –5) and (5, –2)
Slope = -2+5/5-9
Slope = -3/4
For the line with coordinates (–4, –2) and (–8, 1)
Slope = 1+2/-8+4
Slope = -3/4
Since the lines have the same slopes, hence they are parallel lines
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Answer:
Step-by-step explanation:
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