Answer:
13.9
Step-by-step explanation:
7^2 + 12^2 = c^2
49 + 144 = 193
square root 193
and it’s 13.9
Find the difference per row:
10 seats in the first row
30 seats in the sixth row:
30 -10 = 20 seats difference.
6-1 = 5 rows difference.
20 seats / 5 rows = 4 seats per row.
This means for every additional row, there are 4 more seats per row.
The equation would be:
Sn = S +(n-1)*d
Where d is the difference = 4
S = number of seats from starting row = 10
n = the number of rows wanted
S(11) = 10 + (11-1)*4
S(11) = 10 + 10*4
S(11) = 10 + 40
S(11) = 50
Check:
Row 6 = 30 seats
Row 7 = 30 + 4 = 34 seats
Row 8 = 34 + 4 = 38 seats
Row 9 = 38 + 4 = 42 seats
Row 10 = 42 + 4 = 46 seats
Row 11 = 46 + 4 = 50 seats.
The
net area of the region in relation to the x-axis, is just the integral at those bounds, thus
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Answer:
Step-by-step explanation:
Step 1: 6(x^2-1) [(6x-1)/(6(x+1)]
Step 2: [6(X+1) (X-1) (6X-1)] / 6(X+1)
Explanation: Factor out the (x^2-1)
Step 3: (6X-1) (X-1)
Explanation: Cancel out common terms on the top and the bottom of the fraction.
Step 4: 6X^2 - 6X-X+1
Explanation: Multiply out and Simplify
Answer: 6X^2 - 7x+1
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