The intersecting chords theorem states that whenever two chords intersect, the product of their pieces is constant.
So, in this case, we have

Plugging your values, we have

This equation has solutions
, but we can't choose
, because it would lead to

So, the only feasible solutions is 
P = 2L + 2W
P = 2(2x) + 2(4x + 3)
P = 4x + 8x + 6
P = 12x + 6
The correct response would be D. 12x + 6.
Please, use " ^ " to denote exponentiation: p(t) = t^2 + 5t + 6.
To find the critical points, differentiate p(t) with respect to t, set the result = to 0, and then solve the resulting equation for t:
p '(t) = 2t + 5 = 0
Solving for t: 2t = -5, and so t = -5/2. (-5/2, p(-5/2)) is the critical point. That evaluates to (-5/2, -0.25). This happens to be the vertex of a parabola that opens up.
Answer:
60°
Step-by-step explanation:
The mnemonic SOH CAH TOA reminds you of the relationship between angles and sides in a right triangle. Here, we're given the side Adjacent and the side Opposite the angle of interest. This makes it appropriate to choose the relation ...
Tan = Opposite/Adjacent
For our angle of elevation α, this means ...
tan(α) = 125/72
α = arctan(125/72) = 60.058°
α ≈ 60°
The angle of elevation is about 60°.