Page 303 - Matematik Tambahan Tingkatan 4 KSSM

Latih Diri 3.4 6 3
2. ( ) dan (3, −3)
,
1. (a) x = 19, y = 31 dan x = 2, y = −3 5 5 1
7 2 3. h = −2, k = ; x = 1, y = −4
(b) x = – , y = dan x = −4, y = 1 2
3 3 4. x = 5, y = 7
(c) x = 3.581, y = −0.5811 dan 5. 35.852 cm atau 36 cm 3
3
x = 0.4189, y = 2.581 17 4
(

14 6. ( 0) – , )
(d) x = 7, y = −4 dan x = – , y = 3 29 29
3 8 5
13 5 7 1 7. ( –2) ( )
,

(e) x = , y = dan x = , y = 3 3
4 8 2 2
(f) x = 3, y = 1 dan x = −3, y = 7 L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L
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2. (a) y
1. (a) x + 2y + 3z = 120, 2x + 3y + 2z = 110
30
x + 4y + 2z = 180
25
(b) x + y + z = 30, 10x + 20y + 50z = 2 060,
20 x −3y – 2z = 25
15 2. (a) x = −2, y = 1, z = 3
10 (b) x = −1, y = 2, z = − 4
5 3. x = 15, y = 110, z = 55
x 1 2
–5 –4 –3 –2 –1 0 1 2 3 4 5 4. h = 2; x = – , y =
–5 7 7
–10 5. RM 13 166.67, RM 6 666.67, RM166.66
–15 6. 8 m, 15 m dan 17 m
–20 7. Ya, garis itu menyilang lengkung itu pada titik lain,
5
–25 iaitu x = , y = 9
2 2
(– 4.3, –1.7) dan (4.0, 2.5) 8. 48 cm 2
(b) y 9. 4.5 m, 5.5 m
1
2
6 10. x = , y = 12 dan x = , y = 24
3 3
5 7 28
11. Diameter = 7 m, jejari = m; Diameter = m,
4 2 9
14
jejari = m
3 9
2
BAB 4 INDEKS, SURD DAN LOGARITMA
1
Latih Diri 4.1
x
–4 –3 –2 –1 0 1 2 3 4 1 1
1. (a) 5 5x (b) –
–1 7 5 7 3
(c) 9 (9 + 9 ) (d) c d
a
–5
2
7 8
–2 xy 3
(e) x y 11 (f)
6
–3 49 5
(g) 27x y (h) p q
2
10 3
–4 x y
5 5
7 20
(i) p q (j)
–5 7 10
5y 6 a b
4 2
(–1.2, –3.2) dan (2.9, 0.9) (k) (l)
x 10 6
Latih Diri 3.5 2. (a) 2 (b) 4a 18 5
1
1. 8 cm, 9 cm a 6
3
3
2. x = 8 cm, y = 6 cm atau x = 6 cm, y = 4 cm (c) 1 (d) 1 + –
17 a a 3 a 4
a 20
Latihan Intensif 3.2
Latih Diri 4.2
2
1. (a) x = 5, y = 3 dan x = −6, y = –
3 1. (a) x = –11 (b) x = –2
(b) k = 3.732, p = 1.577 dan (c) x = –3
k = 0.2678, p = 0.4226 2. (a) 10 cm (b) 3.487 cm
295