Answer:
That is the simplest answer I'm pretty sure
Step-by-step explanation:
Answer:
21.11
Step-by-step explanation:
Answer:
Answer is 10/12 , 15/18 , 20/24 , 25/30 .
Step-by-step explanation:
1. 5/6 { Multiply both numerator and denominator with 2 }
5/6 = 10/12
2. 5/6 { Multiply both numerator and denominator with 3 }
5/6 = 15/18
3. 5/6 { Multiply both numerator and denominator with 4 }
5/6 = 20/24
4. 5/6 { Multiply both numerator and denominator with 5}
5/6 = 25/30
These are easy, we just have to average the corresponding coordinates.
First we do a few one dimension ones, the midpoint of points on a number line:
1. 9 & 6
![\dfrac{9 + 6}{2} = \dfrac{15}{2}](https://tex.z-dn.net/?f=%5Cdfrac%7B9%20%2B%206%7D%7B2%7D%20%3D%20%5Cdfrac%7B15%7D%7B2%7D)
2. -2 & 7
![\dfrac{-2 + 7}{2} = \dfrac{5}{2}](https://tex.z-dn.net/?f=%5Cdfrac%7B-2%20%2B%207%7D%7B2%7D%20%3D%20%5Cdfrac%7B5%7D%7B2%7D)
3. -3 & -13
![\dfrac{-3 + -13}{2} = -8](https://tex.z-dn.net/?f=%5Cdfrac%7B-3%20%2B%20-13%7D%7B2%7D%20%3D%20-8)
For the rest of these we're in 2D, the Cartesian plane.
4. (0,0), (9,3)
![\left( \dfrac{0+9}{2}, \dfrac{0+3}{2} \right) = ( \frac 9 2, \frac 3 2)](https://tex.z-dn.net/?f=%5Cleft%28%20%5Cdfrac%7B0%2B9%7D%7B2%7D%2C%20%5Cdfrac%7B0%2B3%7D%7B2%7D%20%5Cright%29%20%3D%20%28%20%5Cfrac%209%202%2C%20%5Cfrac%203%202%29)
5. (-2,1), (3,6)
![\left( \dfrac{-2+3}{2}, \dfrac{1+6}{2} \right) = ( \frac 1 2, \frac 7 2)](https://tex.z-dn.net/?f=%5Cleft%28%20%5Cdfrac%7B-2%2B3%7D%7B2%7D%2C%20%5Cdfrac%7B1%2B6%7D%7B2%7D%20%5Cright%29%20%3D%20%28%20%5Cfrac%201%202%2C%20%5Cfrac%207%202%29)
6. (-3, 14), (10, -4)
![\left( \dfrac{-3+10}{2}, \dfrac{14+-4}{2} \right) = ( \frac 7 2, 5)](https://tex.z-dn.net/?f=%5Cleft%28%20%5Cdfrac%7B-3%2B10%7D%7B2%7D%2C%20%5Cdfrac%7B14%2B-4%7D%7B2%7D%20%5Cright%29%20%3D%20%28%20%5Cfrac%207%202%2C%205%29)