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

Answers

• Réponse publiée par: ian2145

  1)Given:
  W1=1209 W2=?
  X1=4 X2=3
  Y1=9 Y2=12
  V1=6 V2=9
  
  Variation Statement:
  W varies directly as X and Y and inversely as V².
  
  Variation Equation:
  W=KXY/V²
  
  
  W=KXY/V²
  1209=K(4)(9)/6²
  1209=36K/36
  36K/36=43524/36
  K=1209
  
  W2=KX2Y2/V2²
  W2=(1209)(3)(12)/9²
  W2=43524/81
  81W2/81=43524/81
  W2=537.33
  
  2)Given:
  P1=¾ P2=6
  B1=6 B2=?
  S1=2 S2=4
  
  VARIATION statement:
  P varies directly as B² and inversely as S³.
  
  Variation equation:
  P=KB²/S³
  
  ANSWER:
  P=KB²/S³
  ¾=K(6)²/2³
  ¾=36K/8
  6/36=36K/36
  K=1/6
  
  P2=KB2²/S2³
  6=(1/6)B2²/4³
  6=1/6B2²/64
  384/(1/6)=1/6B2²/(1/6)
  B2²=64
  
  3)Given:
  X1=12 X2=?
  Y1=3 Y2=8
  Z1=6 Z2=6
  
  VARIATION statement:
  If X varies as the square of Y and inversely as Z
  
  Variation equation:
  X=KY²/Z
  
  ANSWER:
  X=KY²/Z
  12=K(3)²/6
  12=9K/6
  72/9=9K/9
  K=8
  
  X2=KY2²/Z2
  X2=(8)(8)²/6
  X2=8(64)/6
  X2=512/6
  6X2/6=512/6
  X2=85.33
• Réponse publiée par: trizianichole20

  1.R=ks/u²
  
  2=k18/2²
  2=9/2 k
  K= 2 divided by 9/2
  K=4/9
  Ayan ang constant of variation
• Réponse publiée par: kateclaire

  Joint variation

  1. X=kyz x=kyz

  K=x/yz x=(4)(3)(5)

  K=24/(2)(3) x=(4)(15)

  K=24/6 x=60

  K=4
• Réponse publiée par: nelspas422

  The answer is:

  
  

  
• Réponse publiée par: sherelyn0013

  w=xy/v2

  Step-by-step explanation:

  1200=k(4)(9)/6^2

  1200=1296k

  k=1

  w=(1)(3)(12)/9^2

  w=2916
• Réponse publiée par: jasminsexy

  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