Answer:
7 days are in a week. 5 week days, 2 days for the weekend hope this helps.
The co-ordinates of point R is (6 , 2)
<h3><u>Solution:</u></h3>
Given that M(7, 3) is the midpoint of RS
Also co-ordinates of point S is (8, 4)
<em><u>To find: co-ordinates of point R</u></em>
The midpoint of two points
and
is given as:
![M=\left(\frac{x_{1}+x_{2}}{2}, \frac{y_{1}+y_{2}}{2}\right)](https://tex.z-dn.net/?f=M%3D%5Cleft%28%5Cfrac%7Bx_%7B1%7D%2Bx_%7B2%7D%7D%7B2%7D%2C%20%5Cfrac%7By_%7B1%7D%2By_%7B2%7D%7D%7B2%7D%5Cright%29)
Here midpoint M = (7, 3) and point S ![(x_1 , y_1) = (8, 4)](https://tex.z-dn.net/?f=%28x_1%20%2C%20y_1%29%20%3D%20%288%2C%204%29)
Point R = ![(x_2, y_2)](https://tex.z-dn.net/?f=%28x_2%2C%20y_2%29)
Substituting the values in formula we get,
![(7,3)=\left(\frac{8+x_{2}}{2}, \frac{4+y_{2}}{2}\right)](https://tex.z-dn.net/?f=%287%2C3%29%3D%5Cleft%28%5Cfrac%7B8%2Bx_%7B2%7D%7D%7B2%7D%2C%20%5Cfrac%7B4%2By_%7B2%7D%7D%7B2%7D%5Cright%29)
Comparing both the sides we get,
and ![\frac{4+y_{2}}{2}=3](https://tex.z-dn.net/?f=%5Cfrac%7B4%2By_%7B2%7D%7D%7B2%7D%3D3)
On solving,
![\begin{array}{l}{14=8+x_{2}} \\\\ {x_{2}=6}\end{array}](https://tex.z-dn.net/?f=%5Cbegin%7Barray%7D%7Bl%7D%7B14%3D8%2Bx_%7B2%7D%7D%20%5C%5C%5C%5C%20%7Bx_%7B2%7D%3D6%7D%5Cend%7Barray%7D)
Also,
![\begin{array}{l}{4+y_{2}=6} \\\\ {y_{2}=2}\end{array}](https://tex.z-dn.net/?f=%5Cbegin%7Barray%7D%7Bl%7D%7B4%2By_%7B2%7D%3D6%7D%20%5C%5C%5C%5C%20%7By_%7B2%7D%3D2%7D%5Cend%7Barray%7D)
Thus the co-ordinates of point R is (6 , 2)
Tail length = k (body length)
T= k (b)
2.7 = k (3)
2.7/3 = k
0.9 = k
[check result 2.7 = 0.9 (3) = 2.7]
T = 0.9