2021
Mathematics
67ca00ce0c643c71d77dee1f
If w varies inversely as (uv)/(u + v) and w = 8 when u = 2 and v = 6, find a relationship between u, v, w.
A.
uvw = 16(u + v)
B.
16uv = 3w(u + v)
C.
uvw = 12(u + v)
D.
12uvw = u + v
Correct Answer: uvw = 12(u + v)
Explanation
W α (1/uv)/(u + v) ∴ w = (k/uv)/(u + v) = k(u+v)/(uv) w = k(u+v)/uv w = 8, u = 2 and v = 6 8 = k(2+6)/2(6) = k(8)/12 k = 12 i.e 12 ( u + v) = uwv
W α (1/uv)/(u + v) ∴ w = (k/uv)/(u + v) = k(u+v)/(uv) w = k(u+v)/uv w = 8, u = 2 and v = 6 8 = k(2+6)/2(6) = k(8)/12 k = 12 i.e 12 ( u + v) = uwvTHIS WEEK's
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