Keiko drove 792 miles in 11 hours.
2 answers:
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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
Step-by-step explanation:
Collect like terms and simplify
[tex] -10n+30n=-36-24 \\ 20n = -60 [/tex]
Divide both sides of the equation by 20
[tex] 20n/20 = -60/20 \\ n=-3 [/tex]
Answer:
Step-by-step explanation:
Since we're looking at perpendicular lines, the slope of the new line is the reciprocal of the original line.
So the slope of our new line is
So far, we are looking at
Now we need to find the b value by plugging in the given point.
So the final equation is