Consider the rectangle. Which pair of expressions represents the perimeter of the rectangle?

Mathematics

1 answer:

Allushta [10]2 years ago

3 0

Answer:

6x + 2 and 2x + (x + 1) + 2x + (x + 1)

Step-by-step explanation:

Perimeter of a rectangle = 2(length + width)

Length = 2x

Width = x + 1

Perimeter of a rectangle = 2(length + width)

= 2{2x + (x + 1)}

= 2(2x + x + 1)

= 2(3x + 1)

= 6x + 2

Perimeter = length + width + length + width

= 2x + (x + 1) + 2x + (x + 1)

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Y varies directly as x when x= 3 and y =12 find y when x =12

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$\bf \qquad \qquad \textit{direct proportional variation}\\\\
\textit{\underline{y} varies directly with \underline{x}}\qquad \qquad y=kx\impliedby 
\begin{array}{llll}
k=constant\ of\\
\qquad variation
\end{array}\\\\
-------------------------------\\\\
\textit{we know that }
\begin{cases}
x=3\\
y=12
\end{cases}\implies 12=k3\implies \cfrac{12}{3}=k\implies 4=k
\\\\\\
thus\qquad \boxed{y=4x}
\\\\\\
\textit{when x = 12, what is \underline{y}?}\qquad \qquad y=4(12)$