With 100 feet of fence, what are the dimensions of a corral of largest area that farmer bob can create if his barn will provide one side of the corral?

a) if you let x represent the two sides not opposite of the barn, what is the representation you would use for the side that is opposite of the barn?

b) what is the formula for area of a rectangle?

c) what is you equation for the area in terms of x?

d) what type of equation do you have linear or quadratic?

e) what are the dimensions to maximize the area of the corral?

f) what is the maximum area of the corral?

Asystem of linear equations with more equations than unknowns is sometimes called an overdetermined system. can such a system be consistent? illustrate your answer with a specific system of three equations in two unknowns. choose the correct answer below. a. yes, overdetermined systems can be consistent. for example, the system of equations below is consistent because it has the solution nothing. (type an ordered pair.) x 1 equals 2 comma x 2 equals 4 comma x 1 plus x 2 equals 6 b. no, overdetermined systems cannot be consistent because there are fewer free variables than equations. for example, the system of equations below has no solution. x 1 equals 2 comma x 2 equals 4 comma x 1 plus x 2 equals 12 c. yes, overdetermined systems can be consistent. for example, the system of equations below is consistent because it has the solution nothing. (type an ordered pair.) x 1 equals 2 comma x 2 equals 4 comma x 1 plus x 2 equals 8 d. no, overdetermined systems cannot be consistent because there are no free variables. for example, the system of equations below has no solution. x 1 equals 2 comma x 2 equals 4 comma x 1 plus x 2 equals 24