OPENING PROBLEM A square garden gazebo is surrounded by 4 semi-circles of
lawn as shown.
For a wedding, quarter circles of flowers are planted in
each corner of the gazebo. The lawn covers 4 times as
much area as the flower beds.
Suppose the flower beds are metres apart as shown.
2 m
Things to think about:
10 m
a Explain why the radius of each flower bed is 5
b Hence, show that 22 – 20x + 50 = 0.
c By solving this equation, can you find the distance between the flower beds?

Weak battery is considered to be a part of routine a. inspection b. wear and tear c. maintenance d. check

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

Mr. rose asked his students to draw a quadrilateral with 4 unequal sides. draw an example of this kind of quadrilateral.