Solution:
The graph shows how the volume, V, of the cube changes as the length of the sides, S, changes.
On analysing the graph ,
![\left\begin{array}{ccc}s&v\\0&0\\2&1\\4 &8\end{array}\right](https://tex.z-dn.net/?f=%20%5Cleft%5Cbegin%7Barray%7D%7Bccc%7Ds%26v%5C%5C0%260%5C%5C2%261%5C%5C4%20%268%5Cend%7Barray%7D%5Cright%20%20)
This table shows how the volume, V, of the cube changes as the length of the sides, S, changes.
Option C is the correct option for the table that matches the graph.
The answer is A) 59
9/5(15)+32 =59
Answer with Step-by-step explanation:
Let x and y are two numbers
According to question
....(1)
Suppose x is larger than y
![x^2=x(4y+8x)](https://tex.z-dn.net/?f=x%5E2%3Dx%284y%2B8x%29)
![x=4y+8x](https://tex.z-dn.net/?f=x%3D4y%2B8x)
![x-8x=4y](https://tex.z-dn.net/?f=x-8x%3D4y)
![-7x=4y](https://tex.z-dn.net/?f=-7x%3D4y)
![y=-\frac{7}{4}x](https://tex.z-dn.net/?f=y%3D-%5Cfrac%7B7%7D%7B4%7Dx)
Substitute the value of y
![x^2+(-\frac{7}{4}x)^2=100](https://tex.z-dn.net/?f=x%5E2%2B%28-%5Cfrac%7B7%7D%7B4%7Dx%29%5E2%3D100)
![x^2+\frac{49}{16}x^2=100](https://tex.z-dn.net/?f=x%5E2%2B%5Cfrac%7B49%7D%7B16%7Dx%5E2%3D100)
![\frac{16x^2+49x^2}{16}=100](https://tex.z-dn.net/?f=%5Cfrac%7B16x%5E2%2B49x%5E2%7D%7B16%7D%3D100)
![\frac{65}{16}x^2=100](https://tex.z-dn.net/?f=%5Cfrac%7B65%7D%7B16%7Dx%5E2%3D100)
![x^2=\frac{16\times 100}{65}](https://tex.z-dn.net/?f=x%5E2%3D%5Cfrac%7B16%5Ctimes%20100%7D%7B65%7D)
![x=\sqrt{\frac{1600}{65}}=\frac{40}{\sqrt{65}}=\frac{40}{65}\sqrt{65}=\frac{8}{13}\sqrt{65}](https://tex.z-dn.net/?f=x%3D%5Csqrt%7B%5Cfrac%7B1600%7D%7B65%7D%7D%3D%5Cfrac%7B40%7D%7B%5Csqrt%7B65%7D%7D%3D%5Cfrac%7B40%7D%7B65%7D%5Csqrt%7B65%7D%3D%5Cfrac%7B8%7D%7B13%7D%5Csqrt%7B65%7D)
![y=-\frac{7}{4}\times \frac{8}{13}\sqrt{65}=-\frac{14}{13}\sqrt{65}](https://tex.z-dn.net/?f=y%3D-%5Cfrac%7B7%7D%7B4%7D%5Ctimes%20%5Cfrac%7B8%7D%7B13%7D%5Csqrt%7B65%7D%3D-%5Cfrac%7B14%7D%7B13%7D%5Csqrt%7B65%7D)
Keep dividing by 3 to get the rest of the answers.
Write the formula: A=a+b/2(h). Sub in what you know: 9=a+b/2(1). Divide by the height: 1: 9=a+b/2. Multiply by 2: 18=a+b. Now a is typically smaller than b so my guess would be a=6 b=12 but you could pick any numbers as long as they equal 18 :)