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if varies directly as s and inversely as the square of u,and r=2 when s=18 and u=2,find r when u=3 and r=27

if varies directly as s and inversely as the square of u,and r=2 when s=18 and u=2,find r when u=3 and r=27

Asked by: Guest | Views: 37
Total answers/comments: 1
Guest [Entry]

"r ∞ s/u∧2

r = ks/u∧2

2 = 18k/2∧2

2 = 18k/4

k = 4/9

when u = 3, r = 27, k = 4/9

r = (4/9 × 27) ÷ 4

r = 12/4

∴ r = 3"