Answer:The first few Thabit numbers are: 2, 5, 11, 23, 47, 95, 191, 383, 767, 1535, 3071, 6143, 12287, 24575, 49151, 98303, 196607, 393215, 786431, 1572863, ...
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Thabit number.
Named after Thābit ibn Qurra
First terms 2, 5, 11, 23, 47, 191, 383, 6143, 786431
Largest known term 3×211,895,718 − 1
OEIS index A007505
Step-by-step explanation:
Answer:
3ab
-------------------
(b+a)
3/a - 3/b
1/a^2 - 1/b^2
Multiply the top and bottom by a^2 b^2/ a^2/b^2 to clear the fractions
(3/a - 3/b) a^2 b^2
(1/a^2 - 1/b^2) a^2b^2
3ab^2 - 3 a^2 b
b^2 - a^2
Factor out 3ab on the top
3ab( b-a)
The bottom is the difference of squares
(b-a) (b+a)
Cancel like terms from the top and bottom
The sidewalk is 2 feet wide
The area of the sidewalk is given as 80 square feet
The length and width of pool
including side walks will be;
10 + 2x and 6 + 2x
To get the area of the side walk
That will be area of total minus area of the pool
That will be ;
(10 + 2x)(6 + 2x) - 10(6) = 80
60 + 12x + 20x + 4x^2 - 60 = 80
4x^2 + 32x -80 = 0
x^2 + 8x -20
x^2 + 10x - 2x - 20 = 0
x(x + 10) -2(x + 10) = 0
(x-2)(x + 10) = 0
x = 2 or -10
since width cannot be negative;
The scale factor is 0.5
Figure A is 4 blocks wide and 4 blocks tall, Figure B is 2 blocks tall and 2 blocks wide, to get Figure B from Figure A you would need to scale it down by half (0.5)
