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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: 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
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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...