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skylar1315
30.01.2021 •
Mathematics
Find three consecutive even integers such that six times the sum of the first and the third is twenty - four greater than eleven times the second .
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Ответ:
The three consecutive even numbers are 22, 24 and 26
An even number is a number that can be divided by 2 and there would be no remainder. Examples of even numbers are 2, 4, 6, 8, 10
Let:
x represent the first even number
(x +2) represent the second even number
(x +4) represent the third even number
The equation that represents the verbal explanation in the question is:
6[ x + (x +4)] = 24 + 11(x + 2)
6(2x +4) = 24 + 11x + 22
12x + 24 = 46 + 11x
Combine similar terms
12x - 11x = 46 - 24
x = 22
(x + 2)= 22 + 2 = 24
(x + 4) = 22 + 4 = 26
A similar question was solved here: link
Ответ:
1st = 22
2nd = 24
3rd = 26
Step-by-step explanation:
1st = x
2nd = x +2
3rd = x + 4
6(x + x + 4) = 24 + 11(x + 2)
6(2x + 4) = 24 + 11x + 22
12x + 24 = 46 + 11x
x + 24 = 46
x = 22
x + 2 = 24
x + 4 = 26
Ответ:
3
Step-by-step explanation:
D(1 , 1) to D'(3, 3)
so x (1 x 3)= 3
y (1 x 3) = 3
SF = 3
D(1 , 5) to D'(3, 15)
so x (1 x 3)= 3
y (5 x 3 ) = 15
SF = 3
Same on coordinate points B to B' and C to C'
so SF = 3