(Maximum mark: 6] The diagram below shows a straight line L1, which passes through A(0, -2) and B(8,0).

(a) Write down the coordinates of the midpoint of line segment AB
Another line, L2, intersects the y-axis at C(0,3) and is parallel to L1.

(b) Find the gradient of L2

(e) Find the equation of L2 giving your answer in the form y=mx+c

The length of the line segment joining the midpoints of sides ab and bc of the parallelogram abcd is 10. find the length of diagnol ac

Apinhole camera is made out of a light-tight box with a piece of film attached to one side and pinhole on the opposite side. the optimum diameter d(in millimeters) of the pinhole can be modeled by d=1.9[ (5.5 x 10^-4) l) ] ^1/2, where l is the length of the camera box (in millimeters). what is the optimum diameter for a pinhole camera if the camera box has a length of 10 centimeters

If p(a) = 0.70 and p(b) = 0.20, then a and b are independent events if