Absolute value of any number is always positive because it represent distance and distance will always positive.
To place chimney at least 30 feet , the distance along the width of the roof (x) will be x = 17.5 feet or x = 2.5 feet.
Since, The height of the roof is described by the function f(x)=−4/3|x−10| + 40
Since, minimum height is 30 feet.
So , substitute f(x)=30 in above expression.
30=−4/3|x−10| + 40
4/3|x−10| = 10
|x−10|=30/4
|x−10| = 7.5
Taking positive case,
x−10 = 7.5
x = 17.5 feet
Taking negative case,
x−10 = - 7.5
x = 10 - 7.5
x = 2.5 feet
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Answer: 6
Step-by-step explanation: Because, 6 is the highest number you can multiply both with, 6x12 = 72 and 6x7 = 42
Answer:
Step-by-step explanation:
We are given,
Cameron buys 2.45 pounds of apple and 1.65 pounds of pears.
Also, the cost of apples and pears is 'c' dollars per pound.
Thus, the cost of 2.45 pounds of apple is 
dollars and the cost of 1.65 pounds of pear is 
dollars.
Since, the total cost after using a coupon is $4.12.
So, we get the equation representing the situation is,
Total cost = Total cost of apples + Total cost of pears.
i.e.
i.e. 
i.e. 
i.e. c = 1 dollar
Hence, the required equation to find c is .
2x + 2y=132
xy=1080
Let x=1080/y
2160/y + 2y=132
2y^2 - 132y +2160=0
2(y^2-66y+1080)=0
2(y-30)(y-33)=0
y=30 or y=33
(36,30) or (30,36)
So... x=30,36 and y=36,30. Either way, the answer is 30 by 36 or 36 by 30.
Subtraction is. Pemdas. Whichever comes first left to right is what you should do. In this case subtraction comes before addition, therefore subtraction is the right route
