Dan wants to make some changes to his garden. He wants to put a wooden beam around the edge of a flower bed.
Dan has a wooden beam which is 2m in length.
He wants to cut the wooden beam Into two pieces.
3
Dan wants the length of one piece to be
of the length of the beam.
He thinks the length of this piece will be 1.6m.
(a) Is Dan correct?
Show a check of your working.
(3)

Me, the vertices of quadrilateral coat are c(2,0), o(7,0), a(7,2) and t(2,2). prove that coat is a rectangle.

The table below represents the displacement of a fish from its reef as a function of time: time (hours) x displacement from reef (feet) y 0 4 1 64 2 124 3 184 4 244 part a: what is the y-intercept of the function, and what does this tell you about the fish? (4 points) part b: calculate the average rate of change of the function represented by the table between x = 1 to x = 3 hours, and tell what the average rate represents. (4 points) part c: what would be the domain of the function if the fish continued to swim at this rate until it traveled 724 feet from the reef? (2 points)

These tables represent a quadratic function with a vertex at (0, -1). what is the average rate of change for the interval from x = 9 to x = 10?