Everything Maths Grade 10

c)y=x^3

d)y=x+ 2

e)y= 5sin+ 1

f)y= 2 2 x+ 1

g)y=tan 2

46. a)A(90◦; 1); B(90◦;1); C(180◦; 2)andD(360◦; 1)
    b) 0
    c) 1
    d) 5


47. a)A(90◦; 1); B(270◦; 3); C(270◦; 1)andD(360◦; 2)
    b) 2
    c) 3
    d) 2


48. a)M(0; 1)andN(0;1)
    b) 2
    c) 1
    d)y= 2x
    e)Rangey= 2x:(0; 1 )
    Rangey= 2 x:(1; 0)


49. a)q= 1

b)BC= 3 + 4 =7 units

c) y= 4 x

d)y= 4x+ 1

e)y= 0

f)Rangef(x):(0; 1 ), Rangeg(x):(1; 1]

51. c) y=x^2 + 4
    d)Domainh:(1; 1 ). Rangeh:[4; 1 )


52. a) A(
    p
    8;
    p
    8)andB(
    p
    8;
    p

8. b) 2 p 8
   c) 8
   d) 2

54. a) A(1; 0),B(1; 0),C(0; 3)
    c) D(2;9)
    d)y= 6 x+ 3


55. a) f: 0° 360 °; ̸= 90°; 270°g
    b) 3


56. a) y= 2 xeny=x^2 3
    b)y= 4x+ 1andy= 3x


57. a) (iv)
    b)(ii)

7 Euclidean geometry

Exercise 7 – 1:

3. 70 °


4. a)^x= 55◦
   b) 35 ◦
   c)^r= 135◦
   d) 45 ◦
   e)p^= 45◦

f)EFis not parallel toCG

5. a)^a= 50◦
   b) 40 ◦
   c)^c= 140◦
   d) 40 ◦
   e)d^= 40◦

f)P Q∥NR

6. a)no parallel lines
   b)not parallel
   c))T Y∥MN

Exercise 7 – 2:

1. a) 72 °
   b) 98 °
   c)y= 112°andx= 44°
   d) 29
   e) 25

f)x= 18andy= 4

g)x= 12andy= 13

2.diagram A

3.diagram B

5.△P NM△QSR, reason: SAS

6. a)△ABC△EDC
   b)not congruent
   c)not enough information
   d)not enough information
   e)△ABC△ADC
   Exercise 7 – 3:


7. a)SRO^ andORQ^ b) 2 x c) 28 ◦
   Exercise 7 – 4:

Exercise 7 – 5:

Exercise 7 – 6:

1.rectangle

2.rhombus

3.quadrilateral

4.kite and quadrilateral

5.square, rectangle, rhombus, parallelo-

gram, kite, trapezium and quadrilateral

6. 315
   Exercise 7 – 7:

1.ED

2.T S

3.EDandAC

4.no parallel lines

5. a) 91 ◦
   b)△DECjjj △DAB


6. a) 60 ◦

b)△HKGjjj △JKL

7. 6


8. 3


9. 11


10. 4


11. a) 14
    b)3,5

c) 5

d)x= 28units andy= 100°

e)x= 24°andy=13,93

13. a)MN= 4 a+ 8
    b)^52


14. a) a 3 + 2
    b) 18

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