Answer:
2x-z=0 is the equation of the plane.
Step-by-step explanation:
Given that the plane passes through the points (1,0,2) and (-1,1,-2)
and also origin.
Hence equation of the plane passing through three points we can use
Any plane passing through 3 given points is given as
![\left[\begin{array}{ccc}x-x_1&y-y_1&z-z_1\\x_2-x_1&y_2-y_1&z_2-z_1\\x_3-x_1&y_3-y_1&z_3-z_1\end{array}\right] =0](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7Dx-x_1%26y-y_1%26z-z_1%5C%5Cx_2-x_1%26y_2-y_1%26z_2-z_1%5C%5Cx_3-x_1%26y_3-y_1%26z_3-z_1%5Cend%7Barray%7D%5Cright%5D%20%3D0)
Substitute the three points to get
![\left[\begin{array}{ccc}x-1&y&z-2\\-1-1&1&-2-2\\0-1&0&0-2\end{array}\right] \\=0\\(x-1)(-2) -y(4-4)+(z-2)(1) =0\\-2x+z=0\\2x-z-=0](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7Dx-1%26y%26z-2%5C%5C-1-1%261%26-2-2%5C%5C0-1%260%260-2%5Cend%7Barray%7D%5Cright%5D%20%5C%5C%3D0%5C%5C%28x-1%29%28-2%29%20-y%284-4%29%2B%28z-2%29%281%29%20%3D0%5C%5C-2x%2Bz%3D0%5C%5C2x-z-%3D0)
2x-z=0 is the equation of the plane.
$42 + $4 = $46 for charge.
$42 = $12 x 3.5
D 28 miles you want to multiply by 4 so 7x4 =28
Answer:
It has a single solution x=-3 y=26
Step-by-step explanation:
The ratios of coefficients of x and y are different, so the pair of equations has one solution. It is easy to tell the first offered solution (15, 17) does not satisfy the first equation, so that choice is eliminated.
Fortunately, the second offered solution, (x, y) = (-3, 26), satisfies both equations.
The equations have a single solution: (x, y) = (-3, 26).
<span>They most likely used an experiment with patients randomly assigned to take the medicine or not take the medicine.</span>
