The length and the width of the outside edge of the garden will be ( 6x + 12 ) and ( 9x + 6 ) respectively.
<h3>What is the scale factor?</h3>
In mathematics, a scale factor is the proportion of related dimensions of an object to a description of that object.
Given that:-
- The outside edges of the walkway form a rectangle whose length and width are proportional to the sides of the garden, increased by a scale factor of 3. the sides of the garden are (2x+4) and (3x+2)
The length and width of the outside edge will be:-
The sides are Dilated by factor 3 so the edges of the rectangle will be calculated as;-
Length = 3 ( 2x+4 ) = 6x + 12
Width = 3 ( 3x+2 ) = 9x + 6
Therefore the length and the width of the outside edge of the garden will be ( 6x + 12 ) and ( 9x + 6 ) respectively.
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(x + 2)(x + 2)(x + 2)
(x^2 + 4x + 4)(x + 2)
x^3 + 4x^2 + 4x + 2x^2 + 8x + 8
Simplify
Solution: x^3 + 6x^2 + 12x + 8
The answer is A
Answer:
answer is '8'
Step-by-step explanation:
understand friend
Answer:
- PQRS - a parallelogram
- GHJI - not necessarily
- RSUT - a parallelogram
- ABDC - a parallelogram
Step-by-step explanation:
A parallelogram has these characteristics that can be useful for answering this question:
- opposite sides are the same length
- opposite sides are parallel
- the diagonals bisect each other
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<h3>PQRS</h3>
Opposite sides are the same length: a parallelogram
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<h3>GHJI</h3>
Two isosceles triangles share a base segment. Not necessarily a parallelogram.
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<h3>RSUT</h3>
The diagonals bisect each other: a parallelogram
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<h3>ABDC</h3>
Opposite sides are parallel: a parallelogram. We know BD║AC from the converse of the alternate interior angles theorem. AB and CD are marked parallel.
