Answer:
y = 4
Step-by-step explanation:
Since the 2 rectangles have the same area, then
12.5 × 2y = 5 × 20
25y = 100 ( divide both sides by 25 )
y = 4
We can use the fact that, for
,

Notice that
![\dfrac{\mathrm d}{\mathrm dx}\left[\dfrac1{1-x}\right]=\dfrac1{(1-x)^2}](https://tex.z-dn.net/?f=%5Cdfrac%7B%5Cmathrm%20d%7D%7B%5Cmathrm%20dx%7D%5Cleft%5B%5Cdfrac1%7B1-x%7D%5Cright%5D%3D%5Cdfrac1%7B%281-x%29%5E2%7D)
so that
![f(x)=\displaystyle\frac5{(1-x)^2}=5\frac{\mathrm d}{\mathrm dx}\left[\sum_{n=0}^\infty x^n\right]](https://tex.z-dn.net/?f=f%28x%29%3D%5Cdisplaystyle%5Cfrac5%7B%281-x%29%5E2%7D%3D5%5Cfrac%7B%5Cmathrm%20d%7D%7B%5Cmathrm%20dx%7D%5Cleft%5B%5Csum_%7Bn%3D0%7D%5E%5Cinfty%20x%5En%5Cright%5D)



By the ratio test, this series converges if

so the series has radius of convergence
.
Answer:
It is linear and it is so named because when we graph this equation, it shows up as a straight line.
Step-by-step explanation:
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52.5 Yards (yd).
7 + 7 = 14
14 + 14 = 28 ( 10 + 10 + 4 + 4)
14 + 28 = 42 (4 - 2 + 8 = 10 + 20 + 10)
42 + 10.5 = 52.5
⚠⚠ if you need to multiply this by itself (squaring is the proper name) then the answer is 2756.25 Yards.