Let the length be x and the width be w
The perimeter will be:
2x+3w=1500
thus
3w=(1500-2x)
w=(1500-2x)/3
w=500-2/3x
The area will be:
A=x*w
A=x(500-2/3x)
A=500x-(2/3)x²
The above is a quadratic equation; thus finding the axis of symmetry we will evaluate for the value of x that will give us maximum area.
Axis of symmetry:
x=-b/(2a)
from our equation:
a=(-2/3) and b=500
thus
x=-500/[2(-2/3)]
x=375
the length will be 375 m
The width will be 250 m
Answer:
10000
Step-by-step explanation:
0.001 = 1/1000
so, we take an n bigger than 1000, let's say 10000, then 1/1000 > 1/10000 and 1/1000 ∉ (0, 1/10000).
That would of course be the third and only right answer
Pemdas
Parentheses none
Exponents none
Multiplication 18 multiplied by 2 is 36
Division 36 divided by 4 is 9
Addition none
Subtraction 9 minus 36 is -27
Your answer is -27
Step-by-step explanation:
Hello,
25-x=15- (3x + 10)
25 - x = 15 - 3x - 10
-x + 3x = 15 - 10 - 25
2x = 15 - 35
2x = -20
x = -20/2
x = -10
hope it helps
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