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3 years ago

Assume that y varies inversely with x if y = 4 when x = 4 find y when x = 2

Mathematics

1 answer:

ANEK [815]3 years ago

3 0

When two variables varies inversely with each other, their product is always constant.

Since y = 4 when x = 4, their constant product is 16.

So when x = 2, y = 8.

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Num.4 (Please help me out)

Alex777 [14]

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GalinKa [24]

Answer:

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Step-by-step explanation:

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2 years ago

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Suppose y varies directly with x. If y = –20 when x = 2, find y when x = 14

Natasha_Volkova [10]

Answer:

y = -140

Step-by-step explanation:

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y = kx

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3 years ago

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Find The art length of a sector with an area of 8 square units.

frez [133]

$\bf \textit{area of a sector of a circle}\\\\
A=\cfrac{\theta \pi r^2}{360}\quad 
\begin{cases}
r=radius\\
\theta =angle~in\\
\qquad degrees\\
------\\
A=8\\
r=4
\end{cases}\implies 8=\cfrac{\theta \pi 4^2}{360}\implies \cfrac{8\cdot 360}{4^2\pi }=\theta 
\\\\\\
\cfrac{2880}{16\pi }=\theta \implies \boxed{\cfrac{180}{\pi }=\theta }\\\\
-------------------------------\\\\$

$\bf \textit{arc's length}\\\\
s=\cfrac{\theta \pi r}{180}\quad 
\begin{cases}
r=radius\\
\theta =angle~in\\
\qquad degrees\\
------\\
\theta =\frac{180}{\pi }\\
r=4
\end{cases}\implies s=\cfrac{\frac{180}{\underline{\pi} }\underline{\pi} \cdot 4}{180}\implies s=\cfrac{\underline{180}\cdot 4}{\underline{180}}
\\\\\\
\boxed{s=4}$

if you do a quick calculation on what that angle is, you'll notice that it is exactly 1 radian, and an angle of 1 radian, has an arc that is the same length as its radius.

that's pretty much what one-radian stands for, an angle, whose arc is the same length as its radius.

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3 years ago

Given the equation 4x + 7 = 3(2x − 5), solve for the variable. Explain each step and justify your process.

MariettaO [177]

Part 1: $4x + 7 = 3(2x - 5)$

$4x+7=6x-15$

$7=6x-15-4x

$

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$7+15=2x$

$22=2x$

$22=2x / 2$

$x=11$

Part 2: Sam is not correct because <span>he messed up the second step. He added 2x on both sides to get 7x, instead he should have subtracted. </span>

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2 years ago

Assume that y varies inversely with x if y = 4 when x = 4 find y when x = 2​

Assume that y varies inversely with x if y = 4 when x = 4 find y when x = 2