The common ratio of both the formulas is 3 and 2. The first formula is explicit and the second is the recursive formula.
<h3>What is the recursive rule?</h3>
A rule is defined such that its definition includes itself.
1.
The given sequence is
-2, -6, -18, -54
Common ratio ;
r = -6 / -2 = 3
This given formula is the explicit formula.
2.
The given sequence is
4, 8, 16, 32
Common ratio ;
r = 8 / 4 = 2
This given formula is the recursive formula.
Learn more about the recursive rule and explicit rules here:
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The simple way of calculating a perimeter is to add all of the sides.
For a rectangle this would equal 2 x length + 2 x width
P = 2(6x + 3) + 2(-2x - 5)
= 12x + 6 - 4x - 10
= 8x - 4
At a higher level both the length and width must be greater than zero (= zero is a trivial rectangle)
6x + 3 > 0
6x > -3
x > -0.5
-2x - 5 > 0
2x + 5 < 0 (multiplying by -1 reverses the inequality)
2x < -5
x < -2.5
This rectangle cannot exist as x cannot be < -2.5 and > -0.5 at the same time!
Answer:
6x^2 - 10x - 24
Step-by-step explanation:
- Do 3x times 2x which is 6x^2
- Do 3x times - 6 which is -18x
- Do 4 times 2x which is 8x
- Do 4 times - 6 which is - 24
- You get 6x^2 - 18x + 8x - 24
- Simplyify to get the answer
Answer:the length is equal to 18. 2l+2w= 12+?=48. 48-12=36, 36/2=18
Step-by-step explanation:
