Solve the problem.A wire 20 feet long is to be cut into two pieces. One piece will be shaped as a square and the other piece will be shaped as an equilateral triangle. Express the total area A enclosed by the pieces of wire as a function of the length x of a side of the equilateral triangle. What is the domain of A?
What will be an ideal response?
A(x) = 
x2 - 
x + 25; {x|0 ? x ? 
}
Mathematics
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Evaluate the integral using the given substitution.
dx, u = 10x2
A. 
sin (10x2) + C
B. sin(10x2) + C
C. 
sin (10x2) + C
D. 
sin (u) + C
Mathematics
Solve the problem.Express 45° as ? - ?, where cos ? and cos ? are known exactly.
A. 165° - 120° B. 80° - 35° C. 163° - 118° D. 167° - 122°
Mathematics
Solve the problem.The area of a square is numerically 4 less than the perimeter. Find the length of the side, if the side is greater than 1.
A. 5 units B. 4 units C. 8 units D. 2 units
Mathematics
Sketch the graph of the parabola.y = -x2 - 2
A. 
B. 
C. 
D. 
Mathematics