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murzikaleks [220]
3 years ago
8

Which expressions are equivalent to -1/2 ?

Mathematics
1 answer:
lukranit [14]3 years ago
8 0
It’s A, because it doesn’t matter which part of the fraction has the negative sign, as long as either ONE number is negative, it’s the same. Option b, -1/-2, would make it positive but option A, 1/-2, keeps it negative. So it’s A.
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a potato is fired from a spud gun at a height of 3M and an initial velocity of 25 meters per second, write the equation of this
gizmo_the_mogwai [7]
Check the picture below, the height there uses feet, but nevermind that, we can simply let it be meters, like in this case.

\bf ~~~~~~\textit{initial velocity}
\\\\
\begin{array}{llll}
~~~~~~\textit{in meters}
\\\\
h(t) = -4.9t^2+v_ot+h_o
\end{array} 
\quad 
\begin{cases}
v_o=\stackrel{25}{\textit{initial velocity of the object}}\\\\
h_o=\stackrel{3}{\textit{initial height of the object}}\\\\
h=\stackrel{}{\textit{height of the object at "t" seconds}}
\end{cases}
\\\\\\
h(t)=-4.9t^2+25t+3

how hight does it go?  well, that'd be the y-coordinate of the vertex.

how long does it take?  well, that'd be the x-coordinate of the vertex.

\bf \textit{vertex of a vertical parabola, using coefficients}
\\\\
\begin{array}{lcccl}
h(t) = & -4.9t^2& +25t& +3\\
&\uparrow &\uparrow &\uparrow \\
&a&b&c
\end{array}
\qquad 
\left(-\cfrac{ b}{2 a}\quad ,\quad   c-\cfrac{ b^2}{4 a}\right)
\\\\\\
\left(-\cfrac{25}{2(-4.9)}~~,~~3-\cfrac{25^2}{4(-4.9)}  \right)\implies \left( \cfrac{25}{9.8}~~,~~3-\cfrac{625}{-19.6} \right)
\\\\\\
\left( \cfrac{25}{9.8}~~,~~3+\cfrac{625}{19.6} \right)\implies \left( \cfrac{25}{9.8}~~,~~\cfrac{3419}{98} \right)

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Answer:

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Step-by-step explanation:

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