1. If r varies directly as s and inversely as the square of u and r=2 when s=18 and u=2, FIND
A. r when u=3 and s=27
B. s when u=2 and r=4
C. u when r=1 and s=36

2. If x varies as the square of y and inversely as z and x=12, when y=3 and z=6, find x when y=9 and z=6

3. w varies directly as x and y and inversely as v² and w=1200, when x=4, y=9 and v=6, find w when x=3, y=12 and v=9

answer please. thankyouuuuuuuuuuuu!!!!♥♡♥ with solution ^____^

1

Answers

  • Brainly User
2015-09-01T22:27:11+08:00
R=ks/u^2;  First, find the constant k, when r=2; s=18, u=2

2 = k (18)
        2^2
2 = k 18
        4
2(4) =  k
  18 

k = 8/18  or 4/9

A.  Substitute 4/9  for k when u = 3; s=27
     r = k s
          u^2
     r = 4/9 (27)
            9
     r = 12/9 or 4/3

B.  k = 4/9   u = 2;  r = 4
     4 = 4/9 (s)        4 = s/9      s = (4) (9)    s = 36
             4
C.  k = 4/9;   r=1; s=36
     
      1 = 4/9 (36)      (1)  u^2 = 4/9(36)     u^2 = (4)(4)   u^2=16  u = 4
               u^2
             
3 5 3
Do the same formula for combined variation in 2) and 3)
thank you!♥