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Archy [21]
3 years ago
12

Solve y-12/25=3 1/5. What number is y? A. 3 1/5 B. 3 17/25 C. 3 7/25 D. 4 17/25

Mathematics
1 answer:
kicyunya [14]3 years ago
6 0

Answer:

Option c) y=3\frac{17}{25} is correct

The value of y is 3\frac{17}{25}

Step-by-step explanation:

Given equation is  

y-\frac{12}{25}=3\frac{1}{5}

To solve the given equation for y

y-\frac{12}{25}=3\frac{1}{5}

y-\frac{12}{25}=\frac{16}{5}  (converting mixed fraction to normal fraction )

y-\frac{16}{5}=\frac{12}{25}

y-\frac{(16\times 5)+12}{25}  (taking LCM 25 )

=\frac{80+12}{25}  (adding the terms )

y=\frac{92}{25}  (now convert fraction into mixed fraction )

Therefore y=3\frac{17}{25}

Option c) y=3\frac{17}{25} is correct

The value of y is 3\frac{17}{25}

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Step-by-step explanation:

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Find the greatest solution for x+y when x^2+y^2 = 7, x^3+y^3=10
damaskus [11]

Answer:

4

Step-by-step explanation:

set

f(x,y)=x+y\\

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g(x,y)=x^2+y^2 = 7\\h(x,y)=x^3+y^3=10

Partial derivatives:

f_{x}=1\\f_{y} =1 \\g_{x}=2x \\g_{y}=2y\\h_{x}=3x^2 \\h_{y}=3y^2

Lagrange multiplier:

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\left[\begin{array}{ccc}1\\1\end{array}\right]=a\left[\begin{array}{ccc}2x\\2y\end{array}\right]+b\left[\begin{array}{ccc}3x^2\\3y^2\end{array}\right]

4 equations:

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By solving:

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Second mathod:

Solve for x^2+y^2 = 7, x^3+y^3=10 first:

x=\frac{1}{2} -\frac{\sqrt{13}}{2} \ or \ y=\frac{1}{2} +\frac{\sqrt{13}}{2} \\x=\frac{1}{2} +\frac{\sqrt{13}}{2} \ or \ y=\frac{1}{2} -\frac{\sqrt{13}}{2} \\x+y=-5\ or\ 1 \or\ 4

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Answer:

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The line of symmetry and the directrix are perpendicular

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A parabola is the set of all points in a plane that are equidistant from a fixed point (focus) and a line (directrix).

The fixed line of a parabola is known as the directrix of the parabola.

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