Make s the subject of the formula t²=2p+as

Mathematics

1 answer:

Romashka-Z-Leto [24]3 years ago

8 0

Answer:

${t}^{2} = 2p + as \\ {t}^{2} - 2p = as \\ divide \: both \: sides \: by \: a \\ s = \frac{ {t}^{2} - 2p }{a}$

You might be interested in

a women has a ladder that is 13 ft long. if she sets the base of the ladder on level ground 5ft from the side of a house, how ma

Mazyrski [523]

It is convenient to remember that 5-12-13 is a Pythagorean triple.

Her ladder is 12 ft above the ground where it rests on the house.

_____
Using the Pythagorean theorem, you are given the hypotenuse as 13 ft and one leg as 5 ft. Then the other leg is
.. √(13^2 -5^2) = √(169 -25) = √144 = 12

4 0

3 years ago

Complete the table by converting each decimal to a fraction.

AlekseyPX

if you've read those links already, you'd know what we're doing here.

we'll move the repeating part to the left-side of the dot, by multiplying by "1" and as many zeros as needed, or 10 at some power pretty much.

on 0.13 we need 100 to get 13.13.... and on 0.1234, we need 10000 to get 1234.1234....

$\bf 0.\overline{13}~\hspace{10em}x=0.\overline{13}
\\\\[-0.35em]
~\dotfill\\\\
\begin{array}{|lll|ll}
\cline{1-3}
&&\\
100\cdot 0.\overline{13}& = & 13.\overline{13}\\
100\cdot x&& 13 + 0.\overline{13}\\
100x&&13+x
\\&&\\
\cline{1-3}
\end{array}\implies \begin{array}{llll}
100x=13+x\implies 99x=13
\\\\
x=\cfrac{13}{99}
\end{array}
\\\\[-0.35em]
\rule{34em}{0.25pt}\\\\
0.\overline{1234}~\hspace{10em}x=0.\overline{1234}
\\\\[-0.35em]
~\dotfill$

$\bf \begin{array}{|ccc|ll}
\cline{1-3}
&&\\
10000\cdot 0.\overline{1234}&=&1234.\overline{1234}\\
10000\cdot x&=&1234+0.\overline{1234}\\
10000x&=&1234+x
\\&&\\
\cline{1-3}
\end{array}\implies \begin{array}{llll}
10000x=1234+x
\\\\
9999x=1234\implies x=\cfrac{1234}{9999}
\end{array}$