First order the numbers from least to greatest then cross out the numbers until you get to the middle one which is 18 ft. Hope this helped
Answer:
b and c
Step-by-step explanation:
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Answer:
The minimum value of f(x) is -19.
Step-by-step explanation:
Please use parentheses around fractional coefficients to eliminate ambiguity: f(x)=(1/2)x^2-8x+13.
Because the coefficient of the x^2 term, 1/2, is positive, the graph of this quadratic opens up. Thus, the vertex represents the minimum of the function.
The equation of the axis of symmetry of this graph is x = -b / (2a). In this case, x = -(-8) / (2*[1/2]), or x = 8. Evaluating f(x) at x=8 produces the y coordinate of the vertex: f(8) = (1/2)(8^2) - 8(8) + 13 = 32 - 64 + 13 = -19.
Thus, the vertex is (8, -19). The minimum value of f(x) is -19.
for the equation <em>5x−7y=58 </em> for <em><u>x</u></em>=7/5y+58/5 for <em><u>y</u></em> 5/7x+−58/7
for the equation y=−x+2 x= −y+2 for y= −x+2
Anwer: draw a square with side length equal to the square root of the area of the rectangle.
Explanation:
The rectangle that has the greatest perimeter given a fixed area is the square.
So, take the square root of the area and draw a square with that side length.
The demostration of that is done using the optimization concept from derivative. If you already studied derivatives you can follow the following demostration.
These are the steps:
1) dimensions of the rectangle:
length: l
width: w
perimeter formula: p = 2l + 2w
area formula: A = lw
2) solve l or w from the area formula: l = A / w
3) write the perimeter as a function of w:
p = 2 (A / w) + 2w
4) find the derivative of the perimeter, dp / dw = p'
p' = - 2A / w^2 + 2
5) The condition for optimization is p' = 0
=> -2A / w^2 + 2 = 0
=> 2A / w^2 = 2
=> w^2 = A
Which means that the dimensions of the rectangle are w*w, i.e. it is a rectangle of side length w = √A