A note on a piano has given frequency 420. Suppose the maximum displacement at the center of the piano wire is given by 0.18. Find the constants a and w so that d= a cos (wt) models this displacement.

In triangle △abc, ∠abc=90°, bh is an altitude. find the missing lengths. ah=4 and hc=1, find bh.

(c) the diagram shows the first three shapes of a matchsticks arrangement.first shape = 3second shape = 5third shape = 7given m represents the number of matchstick used to arrange the n'th shape.(i) write a formula to represent the relation between m and n. express m as the subjectof the formula.(ii) 19 matchsticks are used to make the p'th shape. find the value of p.

What value is a discontinuity of x squared plus 8 x plus 4, all over x squared minus x minus 6?