If these are terms of a geometric sequence, they have a common ratio. That is, ...
... (k -1)/(2(1 -k)) = (k +8)/(k -1)
... (k -1)² = 2(1 -k)(k +8) . . . . . multiply by the product of the denominators.
... k² -2k +1 = -2k² -14k +16 . . . eliminate parentheses
... 3k² +12k -15 = 0 . . . . . . . . put in standard form (subtract the right side)
... 3(k +5)(k -1) = 0 . . . . . . . . . factor
Possible values of k are ... -5, +1. The solution k=1 is extraneous, as it makes the first two terms 0 and the third term 8. (It doesn't work.)
The value of k is -5.
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The three terms are 12, -6, 3. The common ratio is -1/2.
The maximum area is the area that uses half the fence (150 ft) for the side parallel to the barn and the other half for the ends of the pen (75 ft each). That area is 11,250 ft^2.
Answer:
25, 34, 43
Step-by-step explanation:
its +9 per number
Answer:
0
Step-by-step explanation:
Simplify the following:
a - a
Hint: | Look for the difference of two identical terms.
a - a = 0:
Answer: 0
Answer:
13e^3lnparftzx-700
Step-by-step explanation:
1. Group the like terms.
9eeelnparftzx + 4eeelnparftzx + 12 - 712
2. Add similar elements: 9eeelnparftzx + 4eeelnparftzx = 13eeelnparftzx
13eeelnparftzx + 12 - 712
3. 13eeelnparftzx = 13e^3lnparftzx (the three "e" will transform into e^3)
13e^3lnparftzx + 12 - 712
4. Add and Subtract the numbers: 12 - 712 = -700
13e^3lnparftzx - 700
