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  12.  x = 5

  13.  -8, 0

  14.  6

Step-by-step explanation:

12. The area of a square with side length s is ...

  A = s²

The problem statement tells us the relationship between the areas is ...

  (x cm)² = (1/9)(15 cm)²

Taking the square root, we have ...

  x cm = (1/3)(15 cm)

  x cm = 5 cm . . . . . . . simplify

  x = 5

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13. The rule is ...

  a[n] = (a[n-1] +8)/2 = (1/2)a[n-1] +4

For a[1] = -24, a[2] = (1/2)(-24) +4 = -8

For a[2] = -8, a[3] = (1/2)(-8) +4 = 0

The next two terms are -8 and 0.

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14. The rule is ...

  a[n] = (a[n-1] -1)×5

Solving for the previous term, we find ...

  a[n] = 5·a[n-1] -5 . . . . . eliminate parentheses

  a[n] +5 = 5·a[n -1] . . . . add 5

  a[n-1] = (a[n] +5)/5 . . . . divide by 5

For a[3] = 120, a[2] = (120 +5)/5 = 25

For a[2] = 25, a[1] = (25 +5)/5 = 6

The first term of the sequence is 6.

idk

step-by-step explanation:

answer is  

a.

p = 78

step-by-step explanation: