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m^2 6n - 9n2 - 2m = (m - 3n)(m + 3n - 2)
32m2 = 2m x 16m(width)Length(a) x width (16m) = 288m2288m2 / 16m = 18m
Let the numbers be m & m+1 (consecutive) Hence their squares are m^2 & ( m + 1)^2 => m^2 & m^2 + 2m + 2 Hence Their sum is m^2 + m^2 + 2m + 1 = 85 2m^2 + 2m - 84 = 0 m^2 + m - 42 =0 Factor (m + 7)(m - 6) = 0 Hence the numbers are 6 & 7 .
Let the integers be 'm' & 'm+`1'. Hence m + m+ 1 = 57 2m + 1 = 57 2m = 56 m = 28 M+ 1 = 28 + 1 = 29
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18m m-2m = 16
m=1/2 -2m=16m-9 -18m=-9 m=1/2
18 * 2 = 36 / 2 = 18 m2
1/m + 1/2m = 6 LCD is 2m (2 + 1) / 2m = 6 3/2m = 6 3/6 = 2m = 1/2 m = 1/4
0
2k - 3k - m + 2m = -k + m
0 = 2m^2 - 2m + 36 0 = 2(m^2 - m + 18) 0 = m^2 - m + 18
8 - 2m = 2 so 6 = 2m or m = 3.
2m + 5 = 10 Therefore, 2m = 5 m = 5/2 m = 2.5
(2m/4) - (m/4) = m/4
2m = 26m = 26/2m = 13
25m x 6m x 18m = 2,700 cubic m