1.Assume g varies directly h².When h=2,g=8.
(a)Express g in terms of h.
(b)Find the value of g when h=10.
2.Assume y varies directly x³.When x=3,y=54.
(a)Express y in trems of x .
(b) Find the value of y when x=4.
3.Assume y varies directly √x where x>0.When x=9,y=45.
(a)Express y in terms of x .
(b)Find the value of y when x=16.
MATH(Variation)
2007-02-25 6:40 am
回答 (2)
2007-02-25 6:54 am
✔ 最佳答案
1a) Let g=kh²
when h=2, g=8
8=k(2²)
8=4k
k=2
∴g=2h²
1b)
when h=10
By (a),
g=2(10²)
g=200
2a)
Let y=kx³
when x=3, y=54
54=k(3³)
54=9k
k=6
∴y=6x³
2b)
when x=4
By (a),
y=6(4³)
y=384
3a)
Let y=k√x
when x=9, y=45
45=k√9
45=3k
k=15
∴y=15√x
3b)
when x=16
By(a),
y=15(√16)
y=60
2007-02-25 6:44 am
教你做一題，其他你自己試試
1a) g=kh^2
Sub h=2 ,g =8
8=4k
k=2
g=2h^2
b) sub h=10
g=200
1a) g=kh^2
Sub h=2 ,g =8
8=4k
k=2
g=2h^2
b) sub h=10
g=200
收錄日期: 2021-05-01 16:20:25
原文連結 [永久失效]:
https://hk.answers.yahoo.com/question/index?qid=20070224000051KK05888