A triangle has side lengths of (10a+9)(10a+9) centimeters, (8a-3)(8a−3) centimeters, and (10b+7)(10b+7) centimeters. Which expression represents the perimeter, in centimeters, of the triangle

Answer:s

1.1 Multiplication and Division

1. (a) 20 (b) 21 (c) 36 (d) 42 (e) 45 (f) 18

(g) 28 (h) 49 (i) 40 (j) 8 (k) 9 (l) 4

(m) 7 (n) 7 (o) 9 (p) 0 (q) 0 (r) 0

2. (a) 3 (b) 7 (c) 4 (d) 8 (e) 3 (f) 4 (g) 9

(h) 7 (i) 3 (j) 7 (k) 4 (l) 5 (m) 2 (n) 4

(o) 7 (p) 0 (q) 0 (r) 0

3. 24

4. 27

5. (a) 16 (b) 28 (c) 32

6. (a) 6 (b) 3 (c) 4

7. 8

8. (a) 35 (b) 14 (c) 42

9. (a) Daniel 70p, Joel 56p (b) Daniel has 14p more than Joel

10. (a) 80 (b) 64 (c) 40

11. £6

12. (a) 9 (b) 7, with 1 left over

13. Team A: 7, Team B: 21, Team C: 14, Team D: 14 14. (a) 7 (b) 5

1.2 Squares, Cubes, Square Roots and Cube Roots

1. (a) 25 (b) 36 (c) 1 (d) 49 (e) 6 (f) 1 (g) 7

(h) 5

2. (a) 27 (b) 64 (c) 216 (d) 1000 (e) 3 (f) 10

(g) 6 (h) 4

3. (a) 100 (b) 4 (c) 16 (d) 49 (e) 64 (f) 81

(g) 1 (h) 343 (i) 512 (j) 0 (k) 0 (l) 8

4. (a) 10 (b) 2 (c) 9 (d) 8 (e) 4 (f) 3

5. (a) 144 (b) 121 (c) 3375 (d) 2197 (e) 169 (f) 225

(g) 400 (h) 1331 (i) 11 (j) 20 (k) 13 (l) 15

(m) 15 (n) 13 (o) 12 (p) 11

6. (a) 52 (b) 5 (c) 116 (d) 25 (e) 16 (f) 72

(g) 1001 (h) 100

MEP Pupil Text 1-6 Answers

252

1.3 Index Notation

1. (a) 45

(b) 33

(c) 67

(d) 74

(e) 183

(f) 192

(g) 46 (h) 75

(i) 106

(j) 1005

2. (a) 81 (b) 625 (c) 2401 (d) 10 000 (e) 1 (f) 729

(g) 128 (h) 2 (i) 4096 (j) 4 (k) 1 (l) 25

3. (a) 211 (b) 39

(c) 313 (d) 45

(e) 54

(f) 55

(g) 42 (h) 53

(i) 32 (j) 74

(k) 172 (l) 94

(m) 45

(n) 416 (o) 36 (p) 3 1 0 = (q) 3 3 1 =

(r) 35 (s) 37

(t) 47 (u) 50

4. (a) 22 (b) 23

(c) 24 (d) 26

(e) 33

(f) 52

(g) 43

(h) 34

(i) 53

5. (a) 313 (b) 28

(c) 411 (d) 310 (e) 29

(f) 210

(g) 35 (h) 37

(i) 35 (j) 810 (k) 73

(l) 92

(m) 2 4 4 2 or (n) 23

(o) 23

6. (a) 23

(b) 103

(c) 24 (d) 33

(e) 34

(f) 104

(g) 54

(h) 43

(i) 64

(j) 20 (k) 62

(l) 50

7. (a) 26

(b) 34

(c) 66

(d) 56

(e) 28

(f) 46

(g) 38

(h) 58

(i) 36

8. (a) 28

(b) 24 (c) 310 (d) 53

(e) 105 3

( ) (f) 75 4

( )

9. (a) 36 (b) 214 (c) 512 (d) 73

(e) 74

(f) 27

(g) 3 1 0 = (h) 4 4 1 = (i) 2 2 1 =

10. (a) a5

(b) a10 (c) x9 (d) x2 (e) y3

(f) p3

(g) q3

(h) x8

(i) b3

(j) b6

(k) c3

(l) x5

(m) y2

(n) x 0 = 1 (o) x8

(p) p4 (q) x3

(r) y4

(s) x 0 = 1 (t) x x 1 = (u) x12 (v) x8

(w) x15

(x) x54

11. (a) p = 3 (b) q = 0

12. 2 4 x

MEP Pupil Text 1-6 Answers

253

1.4 Factors

1. (a) 1, 2, 7, 14 (b) 1, 3, 9, 27 (c) 1, 2, 3, 6 (d) 1, 3, 5, 15

(e) 1, 2, 3, 6, 9, 18 (f) 1, 5, 25 (g) 1, 2, 4, 5, 8, 10, 20, 40

(h) 1, 2, 4, 5, 10, 20, 25, 50, 100 (i) 1, 3, 5, 9, 15, 45

(j) 1, 2, 5, 10, 25, 50 (k) 1, 2, 3, 4, 6, 9, 12, 18, 36 (l) 1, 2, 4, 7, 14, 28

2. (a) 1 10 2 5 5 2 10 1 × ×× × ,,, (b) 1 82 44 28 1 ×× × × ,,,

(c) 1 77 1 × × , (d) 1 93 39 1 ××× , ,

(e) 1 16 2 8 4 4 8 2 16 1 × ××× × ,,,, (f) 1 22 2 11 11 2 22 1 ×× ×× ,,,

(g) 1 11 11 1 × × ,

(h) 1 24 2 12 3 8 4 6 6 4 8 3 12 2 × × ×××× × , ,,,,, , 24 1 ×

3. (a) 4 (b) 3 (c) 3 (d) 4 (e) 5 (f) 4 (g) 11

(h) 1

4. (a) 6, 10, 20, 8, 2, 24, 4 (b) 10, 20, 15, 55

5. (a) (i) 20, 22, 24, 26 (ii) 21, 24, 27 (iii) 20, 25

(b) prime numbers

6. (a) (i) 16 (ii) 18 (b) (i) 25 (ii) 27

1.5 Prime Factors

1. 2, 3, 5, 7, 13, 19, 23

2. 53, 59

3. (a) 2 5 × (b) 237 × × (c) 2 17 2 × (d) 2 37 3 × ×

(e) 2 53 × (f) 23 5 3 × × (g) 3 11 13 × × (h) 3 5 11 2 × ×

(i) 7 11 13 × ×

4. (a) 32 25 = and 56 2 7 3 = × (b) 2 8 3 (= )

5. (a) 236 × = (b) 236 × = (c) 3 5 15 × = (d) 2

(e) 2 5 10 × = (f) 5 7 35 × = (g) 2 3 24 3 × =

(h) 2 3 13 78 ×× = (i) 3 7 147 2 × =

6. (a) 45 3 5 2 = × , 99 3 11 2 = × , 135 3 5 3 = ×

(b) (i) 3 9 2 = (ii) 3 9 2 = (iii) 3 5 45 2 × = (c) 3 9 2 =

7. (a) 5 (b) 3 5 45 2 × = (c) 2 8 3 = (d) 2 5 10 × =

(e) 2 3 24 3 × = (f) 2 3 5 30 ××= (g) 2 3 108 2 3 × =

(h) 2 11 44 2 × = (i) 2 3 7 252 2 2 × ×=

MEP Pupil Text 1-6 Answers

254

1.6 Further Index Notation

1. (a) 1

16 (b) 1

8

(c) 1

6

(d) 1

7

(e) 3 (f) 8 (g) 2

(h) 3 (i) 1 (j) 1

25 (k) 8 (l) 32 (m) 2187

(n) 125 (o) 1

2

2. (a) – 4 (b) – 1 (c) – 3 (d) 1

2

(e) − 1

2

(f) 2

(g) 3 (h) – 1 (i) 1

3

(j) – 1 (k) – 2 (l) – 2

(m) – 3 (n) 1

2

(o) – 2 (p) 1

3

(q) 2

3

(r) 2

5

3. (a) 0.125 (b) 0.05 (c) 2 (d) 4 (e) 1

225 = 0 004444 . ...

(f) 0.000125 (g) 729 (h) 27 (i) 1

2

(j) 1728

(k) 62748517 (l) 1331

4. (a) 1

a

(b) a10 (c) a4 (d) 1

6 a

(e) 1

2 a

(f) 1

6 a

(g) a8

(h) a

5

2 (i) 1

3

2 a

(j) a2 (k) 1

3 a

(l) a3

(m) a

b

2

2 (n) a

b

6

12 (o) a b 12 2 (p) b

a

4

4 (q) a

b

8

12

(r) m

n

2

6 (s) a

b

3

5 (t) m

a

2

(u) c

a b

3

4 (v) x

m2

(w) z

x y

12

8 4 (x) b

a

16

3

2

5. (a) 1

9

(b) a4 (c) y = 5

2

Explanation:

pls rain list

True or False:
"Wenn" and "als" mean the exact same thing in English.
O True
O False

college visits provide all of the following except a(n)
a. opportunity to meet students who attend that school b. opportunity to visualize going to school there c. better chance at scholarship d. real life experience

help pls


.......................​

here is the updated pictures.