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Tamiku [17]
2 years ago
14

The side lengths of a rectangle are described as (2x−3) inches and (5x+7) inches.

Mathematics
1 answer:
anastassius [24]2 years ago
7 0

Answer:

  (a)  10x^2−x−21

Step-by-step explanation:

The area of a rectangle is given by the formula ...

  A = LW . . . . . where L is the length, and W is the width

__

The area of the given rectangle will be ...

  A = (2x -3)(5x +7)

This product is simplified using the distributive property to eliminate parentheses. Then like terms are combined.

  A = 2x(5x +7) -3(5x +7)

  = (2x)(5x) +(2x)(7) -3(5x) -3(7)

  = 10x^2 +14x -15x -21

  A = 10x^2 -x -21

The expression 10x^2 -x -21 represents the area of the rectangle in square inches.

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3 years ago
What is 75% of 162? Show your work and/or explain your reasoning.
zhannawk [14.2K]

Answer:

121.5

Step-by-step explanation:

75% =  75/100

Step 2 - Mutiply percenatge fraction by the entire (100%) quantity

75/100× 162 = 121.5

Final result

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2 years ago
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<u>Answer:</u>

<h2>14.21 cm</h2>

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