Mathematics: The value of q varies directly withp2,andq=16whenp=2.what is the value of q whenp=12?

The value of q varies directly withp2,andq=16whenp=2.what

Ответ:

Alexandragurule18

15.03.2022

$\bf \qquad \qquad \textit{direct proportional variation}\\\\
\textit{\underline{y} varies directly with \underline{x}}\qquad \qquad y=kx\impliedby 
\begin{array}{llll}
k=constant\ of\\
\qquad variation
\end{array}\\\\
-------------------------------$

$\bf \textit{q varies directly with p}^2\qquad q=kp^2
\\\\\\
\textit{we also know that }
\begin{cases}
q=16\\
p=2
\end{cases}\implies 16=k2^2\implies \cfrac{16}{2^2}=k
\\\\\\
4=k\qquad therefore\qquad \boxed{q=4p^2}
\\\\\\
\textit{when p = 12, what is \underline{q}?}\qquad q=4(12^2)$

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Ответ:

summerjoiner

14.05.2021

Mathematics

Step-by-step explanation:

am goblin gimmie ye points! ( thanks )

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The value of q varies directly withp2,andq=16whenp=2.what is the value of q whenp=12?

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