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Ksju [112]
3 years ago
6

12x+16y=96 slope intercept form

Mathematics
1 answer:
Semmy [17]3 years ago
8 0

Answer:

y=-3/4x+6

Step-by-step explanation:

12x+16y=96

16y=-12x+96

4y=-3x+24

y=-3/4x+6

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A rectangular area is to be enclosed using an existing
Vesnalui [34]

Answer:

\text{Dimensions: 25 x 50},\\\text{Area: }1,250\:\mathrm{m^2}

Step-by-step explanation:

Let the one of the side lengths of the rectangle be x and the other be y.

We can write the following equations, where x will be the side opposite to the wall:

x+2y=100,\\xy=\text{Area}

From the first equation, we can isolate x=100-2y and substitute into the second equation:

(100-2y)y=\text{Area},\\-2y^2+100=\text{Area}

Therefore, the parabola -2y^2+100y denotes the area of this rectangular enclosure. The maximum area possible will occur at the vertex of this parabola.

The x-coordinate of the vertex of a parabola in standard form ax^2+bx+c is given by \frac{-b}{2a}.

Therefore, the vertex is:

\frac{-100}{2(-2)}=\frac{100}{4}=25

Plug in x=25 to the equation to get the y-coordinate:

-2(25^2)+100(25)=\boxed{1,250}

Thus the vertex of the parabola is at (25, 1250). This tells us the following:

  • The maximum area occurs when one side (y) of the rectangle is equal to 25
  • The maximum area of the enclosure is 1,250 square meters
  • The other dimension, from x+2y=100, must be 50

And therefore, the desired answers are:

\text{Dimensions: 25 x 50},\\\text{Area: }1,250\:\mathrm{m^2}

3 0
3 years ago
Could you guys please help me solve this basic math. PLS OMG ITS DUE :(
Brums [2.3K]
The answer is -7. 21- -3=-7
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3 years ago
How do you solve this ? Please show work.
ioda
1.for x it's 2x+5y=-1 you just do -5y on each side so you get 2x=-5y-1 then you divide it by 2 and it's x=-5/2-1/2
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Step-by-step explanation:

The random numbers are selected randomly. Just because they happen to be 6 numbers in a row does not mean that they were not. If she is confident in the random number generator, which can be assumed, then the random numbers were still randomly selected and can be used. To regenerate would be a mistake because Jada is then picking and choosing which random numbers are chosen, defeating the purpose of a random number generator

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Solve for ΔABC<br> 20 POINTS
Yuliya22 [10]

Answer:

a2=b2+c2-2bc cos a

Step-by-step explanation:

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