Answer:
Step-by-step explanation:
Hence, on base 10, the next whole number is 4995 and if we convert back to base 9, we will have
Therefore, the number on base 9 will be 6750
Rectangle ABCD is translated (x + 2 y - 3) and then rotated 180° about the origin. Complete the table to show the locations of A
'. B', C', and D' after both transformations.
B
0
3
2
D
A-51) A' ?
B (-5,3) B 2
C (-1.3) C" ?
D--11)
D' ?
A(-2,-3), B' (0-3), C (0.1), D'(-2.1)
B
0
3
2
D
A-51) A' ?
B (-5,3) B 2
C (-1.3) C" ?
D--11)
D' ?
A(-2,-3), B' (0-3), C (0.1), D'(-2.1)
1 answer:
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Answer:
The sum of the first 47 terms of the series, 12, 16, 20, ... S₄₈ is 4,888
Step-by-step explanation:
The given series is;
12, 16, 20, ...,
Therefore, the first term of the series is, a = 12
The common difference of series is found as follows;
The difference between subsequent terms, 12 and 16 is 16 - 12 = 4
The difference between subsequent terms, 16, and 20 is 20 - 16 = 4
Therefore, the common difference, d = 4
The series is therefore an arithmetic projection, AP
The sum of the first 'n' terms of an AP, Sₙ, is given as follows;
(47/2)*(2*12+(47-1)*4)
The sum of the first 47 terms is therefore given as follows;
The sum of the first 47 terms of the series, 12, 16, 20, ... S₄₈ = 4,888