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Given:
Endpoints of a segment are (0,0) and (27,27).
To find:
The points of trisection of the segment.
Solution:
Points of trisection means 2 points between the segment which divide the segment in 3 equal parts.
First point divide the segment in 1:2 and second point divide the segment in 2:1.
Section formula: If a point divides a line segment in m:n, then
![Point=\left(\dfrac{mx_2+nx_1}{m+n},\dfrac{my_2+ny_1}{m+n}\right)](https://tex.z-dn.net/?f=Point%3D%5Cleft%28%5Cdfrac%7Bmx_2%2Bnx_1%7D%7Bm%2Bn%7D%2C%5Cdfrac%7Bmy_2%2Bny_1%7D%7Bm%2Bn%7D%5Cright%29)
Using section formula, the coordinates of first point are
![Point\ 1=\left(\dfrac{1(27)+2(0)}{1+2},\dfrac{1(27)+2(0)}{1+2}\right)](https://tex.z-dn.net/?f=Point%5C%201%3D%5Cleft%28%5Cdfrac%7B1%2827%29%2B2%280%29%7D%7B1%2B2%7D%2C%5Cdfrac%7B1%2827%29%2B2%280%29%7D%7B1%2B2%7D%5Cright%29)
![Point\ 1=\left(\dfrac{27}{3},\dfrac{27}{3}\right)](https://tex.z-dn.net/?f=Point%5C%201%3D%5Cleft%28%5Cdfrac%7B27%7D%7B3%7D%2C%5Cdfrac%7B27%7D%7B3%7D%5Cright%29)
![Point\ 1=\left(9,9\right)](https://tex.z-dn.net/?f=Point%5C%201%3D%5Cleft%289%2C9%5Cright%29)
Using section formula, the coordinates of first point are
![Point\ 2=\left(\dfrac{2(27)+1(0)}{2+1},\dfrac{2(27)+1(0)}{2+1}\right)](https://tex.z-dn.net/?f=Point%5C%202%3D%5Cleft%28%5Cdfrac%7B2%2827%29%2B1%280%29%7D%7B2%2B1%7D%2C%5Cdfrac%7B2%2827%29%2B1%280%29%7D%7B2%2B1%7D%5Cright%29)
![Point\ 2=\left(\dfrac{54}{3},\dfrac{54}{3}\right)](https://tex.z-dn.net/?f=Point%5C%202%3D%5Cleft%28%5Cdfrac%7B54%7D%7B3%7D%2C%5Cdfrac%7B54%7D%7B3%7D%5Cright%29)
![Point\ 2=\left(18,18\right)](https://tex.z-dn.net/?f=Point%5C%202%3D%5Cleft%2818%2C18%5Cright%29)
Therefore, the points of trisection of the segment are (9,9) and (18,18).
Answer:
Step-by-step explanation:100,60,36
hello :
the common ratio in the sequence:100,60,36 ( geometric sequence )
is : r = 60/36 = 36/100 = 0.6 the first term is : A1= 100
the n-ieme term is : An= A1× r ^(n-1)
An = 100× (0.6) ^(n-1)
the 6th term is : A6 = 100×(0.6)^5
Answer:
40
Step-by-step explanation:
The answer is 40. There are 4 judges, and each gave him a 10. This can be shown by an equation.
1. 4 * 10 = total score
2. 40 = total score.
Hope this helps! (Please consider giving brainliest)