Step-by-step explanation:
6a
Sn = n/2 [2a + (n-1) d]
(2Sn)/ n = 2a + (n - 1) d
2a + (n-1) d = (2Sn)/n
(n-1) d = (2Sn - 2a)/n
6b
d = ¹/16
7a.
E = (mv²)/2 + mgh
E = m( v²/2 + gh)
E/m = v²/2 + gh
E/m - gh = v²/2
2(E/m - gh) = v²
so
7b.
v = 14 m/s
Which is the correct solution of the equation 4x = -12?
2 answers:
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Option D:
The set is {-2, -1, 0, 1, 2, 3, 4}.
Solution:
Given set:
Z means integer values.
Integer means set of positive and negative values including zero.
This means x lies between -2 and 4.
- If x strictly less than -2 and greater than 4 means you don't have to include -2 and 4.
- But here x less than or equal to -2 and greater than or equal to 4, so you have to include -2 and 4.
The integers are -2, -1, 0, 1, 2, 3 and 4.
So, x belongs to the set {-2, -1, 0, 1, 2, 3, 4}
Hence the given set is defined by the set {-2, -1, 0, 1, 2, 3, 4}.
Option D is the correct answer.