David is writing a coordinate proof involving a parallelogram. knowing that the opposite sides of a parallelogram are congruent, david places his parallelogram on the coordinate plane such that one vertex is at the origin and one side lies along the x-axis. what coordinates should he assign to the fourth vertex of the parallelogram? (a+b, c) (b, a+c) (2b, c) (2a, c)

To find the extreme values of a function f(x. y) on a curve x-x(t), y y(t), treat f as a function of the single variable t and use the chain rule to find where df/dt is zero. in any other single-variable case, the extreme values of f are then found among the values at the critical points (points where df/dt is zero or fails to exist), and endpoints of the parameter domain. find the absolute maximum and minimum values of the following function on the given curves. use the parametric equations x=2cos t, y 2 sin t functions: curves: i) the semicircle x4,y20 i) the quarter circle x2+y-4, x20, y20 b, g(x, y)=xy

Express the following as a function of a single angle. cos(60) cos(-20) - sin(60) sin(-20)

Julie buys 2kg of apples and 7kg of pears ? 12.70. the pears cost ? 1.30 per kilogram what is the price per kilogram of the apples? show your working out