Answers:
![\text{Perimeter} = 14\sqrt{5}\\\\\text{Area} = 50\\\\](https://tex.z-dn.net/?f=%5Ctext%7BPerimeter%7D%20%3D%2014%5Csqrt%7B5%7D%5C%5C%5C%5C%5Ctext%7BArea%7D%20%3D%2050%5C%5C%5C%5C)
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Work Shown:
![L = 2\sqrt{5} = \text{length}](https://tex.z-dn.net/?f=L%20%3D%202%5Csqrt%7B5%7D%20%3D%20%5Ctext%7Blength%7D)
![W = 5\sqrt{5} = \text{width}](https://tex.z-dn.net/?f=W%20%3D%205%5Csqrt%7B5%7D%20%3D%20%5Ctext%7Bwidth%7D)
P = perimeter
![P = 2*(L+W)\\\\P = 2*(2\sqrt{5}+5\sqrt{5})\\\\P = 2*(7\sqrt{5})\\\\P = 14\sqrt{5}\\\\](https://tex.z-dn.net/?f=P%20%3D%202%2A%28L%2BW%29%5C%5C%5C%5CP%20%3D%202%2A%282%5Csqrt%7B5%7D%2B5%5Csqrt%7B5%7D%29%5C%5C%5C%5CP%20%3D%202%2A%287%5Csqrt%7B5%7D%29%5C%5C%5C%5CP%20%3D%2014%5Csqrt%7B5%7D%5C%5C%5C%5C)
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A = area
![A = L*W\\\\A = (2\sqrt{5})*(5\sqrt{5})\\\\A = (2*5)(\sqrt{5}*\sqrt{5})\\\\A = 10\sqrt{5*5}\\\\A = 10\sqrt{25}\\\\A = 10*5\\\\A = 50\\\\](https://tex.z-dn.net/?f=A%20%3D%20L%2AW%5C%5C%5C%5CA%20%3D%20%282%5Csqrt%7B5%7D%29%2A%285%5Csqrt%7B5%7D%29%5C%5C%5C%5CA%20%3D%20%282%2A5%29%28%5Csqrt%7B5%7D%2A%5Csqrt%7B5%7D%29%5C%5C%5C%5CA%20%3D%2010%5Csqrt%7B5%2A5%7D%5C%5C%5C%5CA%20%3D%2010%5Csqrt%7B25%7D%5C%5C%5C%5CA%20%3D%2010%2A5%5C%5C%5C%5CA%20%3D%2050%5C%5C%5C%5C)
Answer:
This series is convergent
(A)
Step-by-step explanation:
We are given a series
Firstly, we will find nth term
So, numerator is
![=2n+1](https://tex.z-dn.net/?f=%3D2n%2B1)
So, denominator is
![=n!](https://tex.z-dn.net/?f=%3Dn%21)
so, nth term will be
![a_n=\frac{2n+1}{n!}](https://tex.z-dn.net/?f=a_n%3D%5Cfrac%7B2n%2B1%7D%7Bn%21%7D)
now, we can use ratio test
![L= \lim_{n \to \infty} \frac{a_n_+_1}{a_n}](https://tex.z-dn.net/?f=L%3D%20%5Clim_%7Bn%20%5Cto%20%5Cinfty%7D%20%5Cfrac%7Ba_n_%2B_1%7D%7Ba_n%7D)
![L= \lim_{n \to \infty} \frac{\frac{2n+3}{(n+1)!}}{\frac{2n+1}{n!}}](https://tex.z-dn.net/?f=L%3D%20%5Clim_%7Bn%20%5Cto%20%5Cinfty%7D%20%5Cfrac%7B%5Cfrac%7B2n%2B3%7D%7B%28n%2B1%29%21%7D%7D%7B%5Cfrac%7B2n%2B1%7D%7Bn%21%7D%7D)
![L= \lim_{n \to \infty} \frac{2n+3}{\left(n+1\right)\left(2n+1\right)}](https://tex.z-dn.net/?f=L%3D%20%5Clim_%7Bn%20%5Cto%20%5Cinfty%7D%20%5Cfrac%7B2n%2B3%7D%7B%5Cleft%28n%2B1%5Cright%29%5Cleft%282n%2B1%5Cright%29%7D)
Since, denominator has two n terms
so, we get
![L=0](https://tex.z-dn.net/?f=L%3D0%3C1)
So, this series is convergent
Answer:
There’s like this little slach on the top of the number so that’s it a slach on top of the number that is like 11111111111
Step-by-step explanation:
( x - 4 ) ( x^2 + 4x + 16 )
Answer:
x = -2
Step-by-step explanation:
hope this helps you