• Accueil
• Math
• Wvaries directly as x and y and inversely as v2 an...

# 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

• 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

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

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
Connaissez-vous la bonne réponse?
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...