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astraxan [27]
3 years ago
12

A number x is more than -6 and at most 8. Write it in a inequality

Mathematics
1 answer:
geniusboy [140]3 years ago
5 0
-6<x≤8 would be the inequality
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The length of a rectangle is 8 inches longer than half of its width.The area of the rectangle is 18 square inches.How many inche
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Answer:

The correct answer is 2 inches.

Step-by-step explanation:

Let l inches and w inches be the length and width of a rectangle respectively.

According to the given problem, l - 8 = \frac{w}{2}.

Area of the rectangle is given to be, according to the question, 18 square inches.

Thus l × w = 18

⇒ l × (2l - 16) = 18

⇒ 2 l^{2} - 16l - 18 = 0

⇒  l^{2} - 8l - 9 = 0

⇒ ( l - 9) ( l + 1) = 0

The possible values of l are 9 and -1. As the length cannot be equal to -1, thus the value of the length is 9 inches.

Width of the rectangle is 2 inches.

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Step-by-step explanation:

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