2 years ago

AlI of the following are equivalent except ______.

Mathematics

1 answer:

ddd [48]2 years ago

8 0

Answer:

(5 - 5) x

Step-by-step explanation:

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On the moon, the height of a golf ball hit with an initial velocity of 96 ft/sec is given by the equation h= -2.7t^2+96t, where

nikdorinn [45]

So hmmm notice the picture below

"x" being how many seconds the object was going

and when y = 0, the object hits the ground, either on the moon or on earth

so, if we set y = 0 on each equation, we'll know when that happen, how long of a "x-value" or seconds it took

$\bf \begin{array}{llll}
\textit{on the moon}\\\\
h=-2.7t^2+96t\implies 0=t(96-2.7t)
\end{array} \quad 
\begin{cases}
0=t\\
-------\\
0=96-2.7t\\
2.7t=96\\
t=\frac{96}{2.7}\\
t\approx 35.\overline{55}
\end{cases}\\\\
-------------------------------\\\\
\begin{array}{llll}
\textit{on earth}\\\\
h=-16t^2+96t\implies 0=t(96-16t)
\end{array} \quad 
\begin{cases}
0=t\\
------\\
0=96-16t\\
16t=96\\
t=\frac{96}{16}\\
t=6
\end{cases}$