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:
see explanation
Step-by-step explanation:
put a point to the right of -1 (-0.9)
then, put a point 2 points to the left of -1 (-1.2)
Number 3 is 100 number 4 is 112
Answer:
(-5,-1)
Step-by-step explanation:
2x+y=9 -> y=-2x+9
3x-y=16
3x-(-2x+9)=16
3x+2x-9=16
5x-9=16
5x-9 (+9)=16 (+9)
5x=25
x=5
no plug in 5 to x in any equation above
2(5)+y=9
10+y (-10)=9 (-10)
y=-1
so the answer is (-5,-1)
hope it's correct! and hope i helped
Answer:
it uses 3,600 watts of electricity in 3 hours
