For this case we have the following function:
<span>w (x) = - 5 (x-8) (x + 4)
</span><span>Rewriting we have:
</span><span>w (x) = - 5 (x ^ 2 + 4x - 8x - 32)
</span><span>w (x) = - 5x ^ 2 - 20x + 40x + 160
</span><span>w (x) = - 5x ^ 2 + 20x + 160
</span><span>Then, deriving we have:
</span><span>w '(x) = - 10x + 20
</span><span>We equal zero and clear x:
</span><span>0 = -10x + 20
</span><span>10x = 20
</span><span>x = 20/10
</span><span>x = 2 seconds
</span><span>Substituting values:
</span><span>w (2) = - 5 (2-8) (2 + 4)
</span><span>w (2) = - 5 (-6) (6)
</span><span>w (2) = 180 meters
</span>Answer:
The maximum height that the stone will reach is:
w (2) = 180 meters
Answer:
yes
Step-by-step explanation:
i cant see da pic
Answer:
See below
Step-by-step explanation:
It is NOT a RIGHT triangle so you <u>cannot use</u> 1/2 b * h
but you can use Heron's Formula
Area = sqrt( s (s-a)(s-b)(s-c) )
s = semi- perimeter = (3+6+7)/2 = 8
Area = sqrt ( 8 ( 8-3)(8-6)(8-7) ) = sqrt ( 80) = 8.9 cm^2
