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
1 answer:
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 = .
Area of the rectangle is given to be, according to the question, 18 square inches.
Thus l × w = 18
⇒ l × (2l - 16) = 18
⇒ 2 - 16l - 18 = 0
⇒ - 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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Answer: The statements in options 2 and 4 are true.
Explanation:
The LCM of two numbers is the smallest number that is multiple of both numbers.
The factor of 8 and 12 are,
Since 2 and 2 are common in both but 2 and 3 are not same, therefore the L.C.M. of 8 and 12 is,
Therefore the statement in option 1 is incorrect.
The factor of 6 and 9 are,
Since 3 is common in both but 2 and 3 are not same, therefore the L.C.M. of 6 and 9 is,
Therefore the statement in option 2 is correct.
The factor of 11 and 4 are,
Since all factor are different, therefore the L.C.M. of 11 and 4 is,
Therefore the statement in option 3 is incorrect.
The factor of 9 and 10 are,
Since all factor are different, therefore the L.C.M. of 9 and 10 is,
Therefore the statement in option 4 is correct.
(5,0) and (10,-10) is on the line and (5,0) is not so the answer is (5,0)
Answer:
Solution is 1 (one).
Step-by-step explanation:
- The equation
can be solved by solving first the expression in the numerator. This is done by solving
.
- Then, you just have
. The negative is canceled when it appears twice, so we just have to solve
(any number divided by itself equals to one).