The perimeter of a pool is 150 m. The rectangle at the right is a scale drawing of the pool. The length of each square on the gr
1 answer:
The length and the width of the rectangle basee on the perimeter will be 2 and 4cm.
<h3>How to calculate the value?</h3>From the given rectangle,
Length of the rectangle = 5 cm
Width of the rectangle = 10 cm
Ratio of length : width = 1 : 2
Perimeter of the rectangle = 2(l + b)= 150 cm
l + b = 75 -----(1)
Since, l : b = 1 : 2
b = 2l ------(2)
From equations (1) and (2)
l + 2l = 75
3l = 75
l = 75/3
l = 25 m
Width 'b' = 2(25) = 50 m
Now we have to draw a rectangle with a scale = 25 : 2
Therefore, the scale factor =
l = 2 cm
Similarly,
w = 4 cm
Now we can draw a rectangle with length = 2 cm and width = 4 cm.
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Answer:
(-5, 0) ∪ (5, ∞)
Step-by-step explanation:
I find a graph convenient for this purpose. (See below)
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When you want to find where a function is increasing or decreasing, you want to look at the sign of the derivative. Here, the derivative is ...
f'(x) = 4x^3 -100x = 4x(x^2 -25) = 4x(x +5)(x -5)
This has zeros at x=-5, x=0, and x=5. The sign of the derivative will be positive when 0 or 2 factors have negative signs. The signs change at the zeros. So, the intervals of f' having a positive sign are (-5, 0) and (5, ∞).
