Answer:
Step-by-step explanation:
1. Given that: y = (5 x 9) + (1 x 9)
= 45 + 9
= 54
Using repeated reasoning;
y = (5 x 9) + (1 x 9)
factoring 9 in the equation, we have;
y = 9 (5 + 1)
= 9 (6)
= 54
2i. 7 x 6 = (5 x 6) + (2 x 6)
= (5 + 2)6
= 7 x 6
= 42
ii. 7 x 9 = (5 x 9) + (2 x 9)
= (5 + 2)9
= 7 x 9
= 63
iii. 7 x 7 = (5 x 7) + (2 x 7)
= (5 + 2)7
= 7 x 7
= 49
Therefore, the factors that Pam used repeatedly are 5 and 2.
3. 7 x 8 = (LX) + (LX)
= X(L + L)
Representing L and X by a number,
7 x 8 = (4 x 7) + (4 x 7)
= 7(4 + 4)
= 7(8)
= 7 x 8
= 56
Thus, the generalization is true.
