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levacccp [35]
3 years ago
9

If y varies directly as x, and y = 25 when x = 5, find y when x = 25.

Mathematics
2 answers:
s344n2d4d5 [400]3 years ago
8 0
It would be 125 so A
dezoksy [38]3 years ago
5 0

\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}\\\\ \rule{31em}{0.25pt}\\\\ \textit{we also know that } \begin{cases} y=25\\ x=5 \end{cases}\implies 25=k5\implies \cfrac{25}{5}=k \\[2em] 5=k\hspace{20em}\boxed{y=5x} \\[2em] \textit{when x = 25, what is \underline{y}?}\qquad y=5(25)\implies y=125

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Step-by-step explanation:

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2 years ago
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Answer:

-4 sqrt(7)/7

Step-by-step explanation:

csc theta = -4/3

csc theta = hypotenuse / opposite side

hypotenuse = 4  

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Using the pythagorean theorem

a^2 + b^2 = c^2

3^2 + b^2 = 4^2

9+b^2 = 16

b^2 = 16-9

b^2 = 7

Taking the square root

sqrt(b^2) = sqrt(7)

b = sqrt(7)

We are in the third quadrant so only tan  and cot are positive

that means the x and y values are "negative"  so a = -3 and b = - sqrt(7)

sec theta = hypotenuse / adjacent

                = 4/ - sqrt(7)

rationalizing  

                   -4 sqrt(7)/ sqrt(7)* sqrt(7)

                = -4 sqrt(7)/7

           

3 0
3 years ago
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zloy xaker [14]

Answer:

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Step-by-step explanation:

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-(1/3 · 1/3 · 1/3 · 1/3 )= -1/81

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