Answer:
![R(x,y) = (0.8,-1.2)](https://tex.z-dn.net/?f=R%28x%2Cy%29%20%3D%20%280.8%2C-1.2%29)
Step-by-step explanation:
The coordinates of QS are:
![Q(x_1,y_1) = (-2,-6)](https://tex.z-dn.net/?f=Q%28x_1%2Cy_1%29%20%3D%20%28-2%2C-6%29)
![S(x_2,y_2) = (5,6)](https://tex.z-dn.net/?f=S%28x_2%2Cy_2%29%20%3D%20%285%2C6%29)
The ratio is represented as:
![R_{m:n} = 2:3](https://tex.z-dn.net/?f=R_%7Bm%3An%7D%20%3D%202%3A3)
Required
Find the coordinates of R
The coordinates of R is calculated by:
![R(x,y) = (\frac{mx_2 + nx_1}{m+n},\frac{my_2 + ny_1}{m+n})](https://tex.z-dn.net/?f=R%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)
Substitute values for m, n, x's and y's
![R(x,y) = (\frac{2 * 5 + 3 * -2}{2+3},\frac{2*6 + 3*-6}{2+3})](https://tex.z-dn.net/?f=R%28x%2Cy%29%20%3D%20%28%5Cfrac%7B2%20%2A%205%20%2B%203%20%2A%20-2%7D%7B2%2B3%7D%2C%5Cfrac%7B2%2A6%20%2B%203%2A-6%7D%7B2%2B3%7D%29)
![R(x,y) = (\frac{4}{5},\frac{-6}{5})](https://tex.z-dn.net/?f=R%28x%2Cy%29%20%3D%20%28%5Cfrac%7B4%7D%7B5%7D%2C%5Cfrac%7B-6%7D%7B5%7D%29)
![R(x,y) = (0.8,-1.2)](https://tex.z-dn.net/?f=R%28x%2Cy%29%20%3D%20%280.8%2C-1.2%29)
<em>None of the options is correct</em>
Collinear mean the point are lie on the same line.
H,A and S
H,D and S
Y, D and T
All correct
P, H and A not lie on the same line (not collinear)
Answer:
9
Step-by-step explanation:
d=rt
12x45/60
12x0.75
9=d
Tsftyhjkklllncfdsaaqqqwuikklp
Answer:
Let x = the measure of the smaller angle
Let 3x + 40 = the measure of the larger angle
x + 3x + 40 = 180
4x = 140
x = 35º
3x + 40 = 3(35) + 40 = 145º
Step-by-step explanation: