<span>Check for the GCF first. ...Multiply the quadratic term and the constant term. ...Write down all the factors of the result, in pairs. ...<span>From this list, find the pair that adds to produce the coefficient of the linear term.</span></span>
' n ' the 'n'th term
1 4
2 2
3 0
4 -2 .
In general, the 'n'th term of the sequence is A(n) = 6 - 2n .
Answer:
Skewed to the left.
Step-by-step explanation:
The left side of the graph is at 2 and is 4 units from the middle at 6. The right side of the graph is at 9 and is 3 units from the middle. As such the graph is skewed left since it is a greater distance from the left to the center.
Answer:
sin²x = (1 - cos2x)/2 ⇒ proved down
Step-by-step explanation:
∵ sin²x = (sinx)(sinx) ⇒ add and subtract (cosx)(cosx)
(sinx)(sinx) + (cosx)(cosx) - (cosx)(cosx)
∵ (cosx)(cosx) - (sinx)(sinx) = cos(x + x) = cos2x
∴ - cos2x + cos²x = -cos2x + (1 - sin²x)
∴ 1 - cos2x - sin²x = (1 - cos2x)/2 ⇒ equality of the two sides
∴ (1 - cos2x) - 1/2(1 - cos2x) = sin²x
∴ 1/2(1 - cos2x) = sin²x
∴ sin²x = (1 - cos2x)/2
