Question 388498: 1. An ice-cream manufacturer has decided on a new logo for her company.
It consists of a triangle and 2 circles representing a wafer cone and two balls of ice cream.
Placed on a set of rectangulat axes the logo is modelled .
The triangle has coordinates P(-3,-6), Q(-4,6) and R(2,8).
A is the midpoint of QR
1(a). Find the equation of PA.
1(b). When PA is extended it intersects with the larger circle at B and C. If the larger circle has its equation x²+y²-10x-20y+105=0, find the coordinates of C.
1(c). Given that C is the centre of the smaller circle and that its radius is exactly half of the larger circle, find the equation of the smaller circle.
2. A curve has its equations y=x³-kx²-16x+32
2(a). If the curve crosses the x-axis at A(2,0), find k.
2(b). The point B(p,35) also lies on this curve, find the value of p.
2(c). Calculate the size of the angle between the line AB and the x-axis in the positive direction. Give the answer to the nearest degree.
3. Express 3cos(x°)+5sin(x°) in the form kcos(x°-a°), where k>0 and 0≤a≤360
Can you provide full working with the solutions please.
Many Thanks,
Andrew Rankin.
Answer by solver91311(24713)   (Show Source):
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