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Andrej [43]
2 years ago
9

The variables x and y are inversely proportional, and y = 2 when x = 3. What is the value of y when x = 9?

Mathematics
1 answer:
Nina [5.8K]2 years ago
4 0

Answer:

\huge \purple{ \boxed{ y =  \frac{2}{3} }}

Step-by-step explanation:

Since, the variables x and y are inversely proportional.

\therefore \: y  \:  \: \alpha \:  \:  \frac{1}{x}  \\  \implies \: y =  \frac{k}{x} \\ (k = constant)  \\  \implies \: xy = k ...(1)\\ plug \: y = 2, \:  \: x = 3   \: in  \: equation \: (1) \\ we \: find \\ 2 \times 3 = k \\ k = 6 \\ plug \:k = 6   \: in  \: equation \: (1)  \\ xy = 6 \\ (this \: is \: the \: equation \: of \: variation) \\ when \: x = 9 \:  \: y =?  \\  \\ 9y = 6 \\  y =  \frac{6}{9}  \\ \huge \red{ \boxed{ y =  \frac{2}{3} }}

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bixtya [17]

Answer:

70 and 110

Step-by-step explanation:

First angle -- 2x

Second angle -- 3x + 5

Therefore,

2x + 3x + 5 = 180

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8 0
3 years ago
Please help
user100 [1]

Answer:

Length of garden will be 30 metres.

Step-by-step explanation:

Let the Width of garden be x metres.

then,

Length of garden will be (x+6) metres.

Area = Length × Breadth

720 = x X (c+6)

720 = x²+6x

0 = x²+6x-720

As we can see above equation is a quadratic equation in the form of ax²+bx+C.

so,

=  \frac{ - b ±  \sqrt{{b}^{2} - 4ac}  }{2a}  \\ =   \frac{ - 6 ±   \sqrt{{6}^{2} - 4 \times 1 \times  - 720}  }{2}  \\ =    \frac{ - 6 ±  \sqrt{36 + 2880} }{2}  \\  =   \frac{ - 6 ±  \sqrt{2916} }{2}  \\  =   \frac{ - 6 ± 54}{2}\\= \frac{-6+54}{2} ... \frac{ - 6 - 54}{2}  \\  =  \frac{48}{2} ... \frac{ - 60}{2}  \\  = 24... - 30

One of the Roots of the Quadratic equation is 24 and other is -30.

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As we got the width,

adding 6 to it will give us the Length,

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24 metres + 6 = 30 metres.

Length of the garden is 30 metres.

Hope It Helped You ;)

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8 0
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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Isolating r

r= (p-S)/p

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