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Step-by-step explanation:
m<2
Answer:
-(x+2)/(x+8)
Step-by-step explanation:
( x^2 -x-6)
------------------
24 - 5x -x^2
Factor out a minus sign from the denominator
( x^2 -x-6)
------------------
-( x^2 +5x -24)
Factor the numerators and the denominators
( x-3) (x+2)
------------------
-( x+8)(x-3)
Cancel like terms
x+2
------------------
-(x+8)
The initial term of this geometric series is 4, and the common ratio is -1/2. The sum is given by
![S_{n}=a_{1}\dfrac{r^{n}-1}{r-1}\\\\S_{10}=4\cdot \dfrac{(-\frac{1}{2})^{10}-1}{-\frac{1}{2}-1}=4\cdot \dfrac{(\frac{1}{1024}-1)}{(-\frac{3}{2})}\\\\=\dfrac{8}{3}\cdot \dfrac{1023}{1024}=\dfrac{341}{128}](https://tex.z-dn.net/?f=S_%7Bn%7D%3Da_%7B1%7D%5Cdfrac%7Br%5E%7Bn%7D-1%7D%7Br-1%7D%5C%5C%5C%5CS_%7B10%7D%3D4%5Ccdot%20%5Cdfrac%7B%28-%5Cfrac%7B1%7D%7B2%7D%29%5E%7B10%7D-1%7D%7B-%5Cfrac%7B1%7D%7B2%7D-1%7D%3D4%5Ccdot%20%5Cdfrac%7B%28%5Cfrac%7B1%7D%7B1024%7D-1%29%7D%7B%28-%5Cfrac%7B3%7D%7B2%7D%29%7D%5C%5C%5C%5C%3D%5Cdfrac%7B8%7D%7B3%7D%5Ccdot%20%5Cdfrac%7B1023%7D%7B1024%7D%3D%5Cdfrac%7B341%7D%7B128%7D)
The sum is
approximately 2.66.
Answer:
69.08m
Step-by-step explanation:
Circumference of a circle = πd where
d is the diameter of the circle
Given
diameter = 22metres
circumference of the circle = 3.14(22)
circumference of the circle = 69.08m
Hence the circumference of the circle is 69.08m