Answer:
The stone would take approximately 10.107 seconds to fall 500 meters.
Step-by-step explanation:
According to the statement of the problem, the following relationship of direct proportionality is built:


Where:
- Time spent by the stone, measured in seconds.
- Height change experimented by the stone, measured in meters.
- Proportionality constant, measured in
.
First, the proportionality constant is determined by clearing the respective variable and replacing all known variables:

If
and
, then:


Then, the expression is
. Finally, if
, then the time is:


The stone would take approximately 10.107 seconds to fall 500 meters.
Hi!
<h3>Let's do the first step (add 2x). </h3>
5 + 3x + 2x = -2x + 2x + 9
<em>5 + 5x = 9</em>
<h3>Our goal is to isolate x on one side, so the next step would be to subtract 5 (or add -5).</h3>
5 + -5 + 5x = 9 + -5
<u><em>5x = 4</em></u>
<h2>The answer is B. add -5</h2><h3><em>And if you want to finish solving, you would divide by 5 on both sides.</em></h3>
5x/5 = 4/5
x = 0.8
Hope this helps! :)
-Peredhel