5/4 divided by 7/16 is 20/7 or 2.857142 and the numbers behind the 2. are infinity unless you mean 7/16 divided by 5/4 which is 0.35 or 7/20
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>
You collect the “like terms” and simplify which would bring you down to 1789b which is equivalent to 1345b. Then you move the “variable” to the “left-hand” side and change its sign which would give you 1789b-1345b=0. Then again collect the “like terms” which would bring you 444b=0. Then you divide the both sides of the equation by 444 and it would mean b=0. So your answer is b=0
Step-by-step explanation:
The law of cosine states that:
, where C is the side opposite of angle theta, and A and B are the adjacent sides of the angle.
In this case, A is equal to 21, and B is equal to 30 (or it could also be the other way around). That means that:
(to nearest 6 digits)