An object which is dropped from 100 feet above ground falls according to the formula s = -16t^2 + 100, where s is the distance from ground level at time t.
Which equation is equivalent to this formula?
S-100 = t^2
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-16
S-100 = t^2
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16
s - 100 = t^2
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-16 or
S-100+16= t^2
I choose the last selection but I'm not sure I'm correct
a. (s-100)/(-16)=t²
b. (s-100)/(16)=t²
c. s/16 -100 = t²
d. s-100+16=t²
The last choice is definitely incorrect, here's why:
Given
s = -16t^2 + 100
we need to express t² in terms of s.
subtract 100 from each side to get:
(s-100) = -16t²
Divide by -16 on both sides to isolate t²:
(s-100)÷16 = t²
Now make your pick!
Sorry that there was a typo, but it would have been easier to post a follow-up if the answer did not work out.
"(s-100)÷(-16) = t²
Now make your pick!"
what is exemple of Binomial?
To determine which equation is equivalent to the formula, we can simplify each equation to see if they produce the same result.
Starting with the original formula:
s = -16t^2 + 100
Now, let's simplify the first given equation: S-100 = t^2 / -16
To simplify further, we can multiply both sides of the equation by -16:
-16(S-100) = t^2
Expanding the equation:
-16S + 1600 = t^2
This result is not equivalent to the original formula.
Next, let's simplify the second given equation: S-100 = t^2 / 16
Following the same process, multiply both sides of the equation by 16:
16(S-100) = t^2
Expanding the equation:
16S - 1600 = t^2
This result is also not equivalent to the original formula.
Now, let's simplify the third given equation: s - 100 = t^2 / -16
Again, multiply both sides of the equation by -16:
-16(s - 100) = t^2
Expanding the equation:
-16s + 1600 = t^2
This result is not equivalent to the original formula either.
Lastly, let's simplify the last equation: S-100+16 = t^2
Combining like terms, we have:
S - 84 = t^2
This is the correct equation that is equivalent to the original formula.
Therefore, the equation equivalent to the original formula is: S-84 = t^2.