What is the complete factorization of 36y2 − 1?

Mathematics

1 answer:

stiv31 [10]3 years ago

4 0

Answer:

(6y+1)(6y-1)

Step-by-step explanation:

Difference of square (You may want to search it up if you want to learn more)

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P is inversely proportional to the cube of (q-2) p=6 when q=3 find the value of p when q is 5

sveticcg [70]

$\bf \begin{array}{llllll}
\textit{something}&&\textit{varies inversely to}&\textit{something else}\\ \quad \\
\textit{something}&=&\cfrac{{{\textit{some value}}}}{}&\cfrac{}{\textit{something else}}\\ \quad \\
y&=&\cfrac{{{\textit{k}}}}{}&\cfrac{}{x}
\\
&&y=\cfrac{{{ k}}}{x}
\end{array}\\\\
-----------------------------\\\\
\textit{p is inversely proportional to the cube of (q-2)}\implies p=\cfrac{k}{(q-2)^3}
\\\\\\
now \quad 
\begin{cases}
p=6\\
q=3
\end{cases}\implies 6=\cfrac{k}{(3-2)^3}$

solve for "k", to find k or the "constant of variation"

then plug k's value back to $\bf p=\cfrac{k}{(q-2)^3}$

now.... what is "p" when q = 5? well, just set "q" to 5 on the right-hand-side, and simplify, to see what "p" is

4 0

3 years ago

Please please please help me with this...

dlinn [17]

Answer:

It's option d.

Step-by-step explanation:

The line y = x + 2 has domain x < 2 (because of the clear circle.)

The lines y = x + 1 has domain x ≥ 2. ( because of the filled circle).

7 0

3 years ago

PQRS is an isosceles trapezoid and m