Answer:
X=1 and X=3
Step-by-step explanation:
Factor: (x-3)(x-1)=0
Solve for X: X=1 and X=3
The variation equation is p = kr^2
<h3>How to determine the variation equation?</h3>
The variables are give as:
Pressure = P
Radius= r
The direct variation from p to the square of r is represented as:
Express as an equation
p = kr^2
Where k represents the constant of variation
Hence, the variation equation is p = kr^2
Read more about variation at:
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Answer:
7.7 repeated
Step-by-step explanation:
3 1/3 * 2 1/3 = 7.7 repeated
Problema Solution
You have 800 feet of fencing and you want to make two fenced in enclosures by splitting one enclosure in half. What are the largest dimensions of this enclosure that you could build?
Answer provided by our tutors
Make a drawing and denote:
x = half of the length of the enclosure
2x = the length of the enclosure
y = the width of the enclosure
P = 800 ft the perimeter
The perimeter of the two enclosures can be expressed P = 4x + 2y thus
4x + 3y = 800
Solving for y:
........
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y = 800/3 - 4x/3
The area of the two enclosure is A = 2xy.
Substituting y = 800/3 - 4x/3 in A = 2xy we get
A = 2x(800/3 - 4x/3)
A =1600x/3 - 8x^2/3
We need to find the x for which the parabolic function A = (- 8/3)x^2 + (1600/3)x has maximum:
x max = -b/2a, a = (-8/3), b = 1600/3
x max = (-1600/3)/(2*(-8/3))
x max = 100 ft
y = 800/3 - 4*100/3
y = 133.33 ft
2x = 2*100
2x = 200 ft
