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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Here is the solution of the given problem above.
First, let's analyze the question.
Given: 1 bag = 9/10 pound
2/3 bag = ? pound
What we are going to do is to divide 9/10 pound to 3.
so 9/10 divided by 3 and we get 9/30 and to simplify that, 3/10.
So per 1/3 of the bag, there is 3/10 pound.
To get the weight for 2/3 of the bag, we multiply 3/10 by 2 and we get 6/10 or to simplify it, it is 3/5. Therefore, the 2/3 bag weights 3/5 pound. Hope this answer helps.
Answer:
HL theorem
Step-by-step explanation:
Answer:
Slope(m) = 16
Y intercept (c) = 23
Step-by-step explanation:
Given:
Points : (x1, y1) = (2, 55)
(x2, y2) = (4, 87)
Using two point form to calculate slope:
m = 16
To find y intercept:
Take any one point ans slope :
Using slope point formula:
y = mx + c
87 = 16(4) + c
Solving for c:
c = 23
As, Opposite side of Special trapezoid is equal.So, it will be a Parallelogram.
ab=c d= 19 units
Height of Trapezoid = 14 units
Area of Trapezoid = 
So, Area of Trapezoid = 266 square units
You, can use the formula for finding the area of parallelogram,which is = Base on which perpendicular is drawn × Length of Altitude
= 19 × 14
= 266 square units
