Tyler has a rectangular garden that measures 10 m wide by 13 m long. He wants to increase the area to 180 m² by increasing the width and length by the same amount. The situation can be represented by the equation (10+x)(13+x)=180, where x is the amount in feet he will increase each dimension. What will be the length (longer dimension) of the new garden? Enter your answer in the box.

1mile equals approximately 1.6 kilometers. which best approximates the number of miles in 6 kilometers?

Over which interval is the graph of f(x) = x2 + 5x + 6 increasing?

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