We will transform the equation to the vertex form:
y = x² + 8 x + 12 = x² + 8 x + 16 - 16 + 12 =
= ( x + 4 )² - 4
Vertex form is: y = a ( x - k )² + h
Vertex coordinates are: ( - 4, - 4 ).
Answer:
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
Step-by-step explanation:
Answer:
Area of PSTK = 50
Step-by-step explanation:
△SPK:
SK = 13, PK = 12
13^2 - 12^2 = SP^2
SP = 5
(8 + 12) /2 x 5 = 50
