Figure 2 Figure 2 shows a sketch of the parabola C with equation y²=
4ax, where a is a positive
constant. The point S is the focus of C and the point P(ap²,
2ap) lies on C where p > 0
(a) Write down the coordinates of S.
(1)
(b) Write down the length of SP in terms of a and p.
(1)
The point Q(aq², 2aq), where p≉q, also lies on C.
The point M is the midpoint of PQ.
Given that pq =-1
(c) prove that, as P varies, the locus of M has equation
y²= 2a(x – a)
(5)

What is sin 7x/4 ? i need on this urgent trig

Acompany manufactures large valves, packed in boxes. a shipment consists of 1500 valves packed in 75 boxes. each box has the outer dimensions 1.2 x 0.8 x 1.6 m and the inner dimensions 1.19 x 0.79 x 1.59 m. the boxes are loaded on a vehicle (truck + trailer). the available capacity in the vehicle combination is 140 m3. each valve has a volume of 0.06 m3. - calculate the load factor on the box level (%). - calculate the load factor on the vehicle level (%). - calculate the overall load factor (%).

8litres of paint can cover 129.6 m². how much paint is required to paint an area of 243m²?