Answer:
The coordinates of K is (-5,1)
Step-by-step explanation:
Given
![J = (-9,-5)](https://tex.z-dn.net/?f=J%20%3D%20%28-9%2C-5%29)
![L = (5,16)](https://tex.z-dn.net/?f=L%20%3D%20%285%2C16%29)
![JK:KL = 2:5](https://tex.z-dn.net/?f=JK%3AKL%20%3D%202%3A5)
Required
Determine K
Using Line ratio formula;
We have:
![K(x,y) = (\frac{mx_2 + nx_1}{m+n},\frac{my_2 + ny_1}{m+n})](https://tex.z-dn.net/?f=K%28x%2Cy%29%20%3D%20%28%5Cfrac%7Bmx_2%20%2B%20nx_1%7D%7Bm%2Bn%7D%2C%5Cfrac%7Bmy_2%20%2B%20ny_1%7D%7Bm%2Bn%7D%29)
Where
![(x_1,y_1) = (-9,-5)](https://tex.z-dn.net/?f=%28x_1%2Cy_1%29%20%3D%20%28-9%2C-5%29)
![(x_2,y_2) = (5,16)](https://tex.z-dn.net/?f=%28x_2%2Cy_2%29%20%3D%20%285%2C16%29)
![m:n = 2:5](https://tex.z-dn.net/?f=m%3An%20%3D%202%3A5)
So; we have:
![K(x,y) = (\frac{2 * 5 + 5 * -9}{2+5},\frac{2 * 16 + 5 * -5}{2+5})](https://tex.z-dn.net/?f=K%28x%2Cy%29%20%3D%20%28%5Cfrac%7B2%20%2A%205%20%2B%205%20%2A%20-9%7D%7B2%2B5%7D%2C%5Cfrac%7B2%20%2A%2016%20%2B%205%20%2A%20-5%7D%7B2%2B5%7D%29)
![K(x,y) = (\frac{10 -45}{7},\frac{32 -25}{7})](https://tex.z-dn.net/?f=K%28x%2Cy%29%20%3D%20%28%5Cfrac%7B10%20-45%7D%7B7%7D%2C%5Cfrac%7B32%20-25%7D%7B7%7D%29)
![K(x,y) = (\frac{-35}{7},\frac{7}{7})](https://tex.z-dn.net/?f=K%28x%2Cy%29%20%3D%20%28%5Cfrac%7B-35%7D%7B7%7D%2C%5Cfrac%7B7%7D%7B7%7D%29)
![K(x,y) = (-5,1)](https://tex.z-dn.net/?f=K%28x%2Cy%29%20%3D%20%28-5%2C1%29)
Insert y and you get
X=0
Then insert x and you get
Y=-5
Answer: 15w
Step-by-step explanation:
Answer:
2/3?
Step-by-step explanation:
I'm not sure