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c Graph through (5, 0) (0, 2)
y
2.0
1.5
Exercise 20
1 5.9 cm
2
Mathematics B
1.0
0.5
1
2 3 4 5 x
​ ​
6 y 5 2x 1 4; 4x 5 2y 1 7
x 2 3y 5 1; 9y 5 3x 1 4
4x 2 3y 5 12; 3y 5 4x 2 1
3x 2 4y 5 12; 4y 5 3x 1 7
7 a
2_
3 ​ b 2 1_
2 ​
Exercise 18* (Revision)
1 a
1_
2 ​ b 22.5
2 5 m
3 a Graph through (0, 22) (1, 1) b Graph through (0, 3) (1, 1)
y
y
1.0
3
0.5
0
–0.5
–1.0
–1.5
0.2 0.4 0.6 0.8
1.0 x
​
–2.0
–1
c Graph through (0, 2.5) (1, 2) d Graph through (2, 0) ​( 0, 3​
1_
3 )​
y
y
2.5
2.0
3
1.5
2
1.0
2
1
0
0.5
1.0 1.5 2.0 x
0.5
0
0
1 2 3 4 5 6 x –1
–0.5
0.5 1.0 1.5 2.0 2.5 3.0 x
4 b 5
3_
2
5 3y 5 x 1 6, y 5 22 2 3x
6 a
F
100
50
1
3 cm
Scale 1 cm : 2m
5 cm
3 a Q
b 275 m
P
R
1 cm
4 a and b N
c 3.87 km
5 152 m
6 161 m
Exercise 20*
1 5.4 cm
2 6.8 cm
3, 5 Student’s own diagrams
4
B
G
boat route
Scale 1 cm : 1 km
exclusion zone
–40
–20 20 40
–50
b 80°F 27°C c 240°
222°F 230°C
25°C 77°F
7 y 5 x 1 2, y 5 x 2 2, y 5 2x 1 2, y 5 2x 2 2
8 y 5 3, y 5 23, x 5 3, x 5 23, y 5 x, y 5 2x
Exercise 19
1 a 5 102°, b 5 78° 2 a 5 65°
3 a 5 73°, b 5 34° 4 a 5 57°, b 5 123°
5 a 5 31°, b 5 31° 6 a 5124°, b 5 56°
7 a 5 58°, b 532°
8 a 45° b 135° c 1080°
9 9 sides 10 x 5 74°; 74° and 148°
Exercise 19*
1 a 5 137°, b 5 43° 2 a 5 36°
3 34°, 85° 4 180 2 2x
5 x 5 50° 6 a 5 56°, b 5 34°
7 a 5 40°, b 5 113° 8 a 5 73°
9 a 5 56°, b 5 38°
C
Exercise 21 (Revision)
1
7 cm
7 cm
Scale 1 cm : 2 m
7 cm
7 cm
3 4 Measure and check arcs are included.
A
B
2
9 cm
8 cm
4
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