Answer:
A. y = 2x + 3
Step-by-step explanation:
3y – 6x = 9
+ 6x + 6x
____________
3y = 6x + 9
__ ______
3 3
y = 2x + 3 >> CORRECT ANSWER
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Each domain of the points can only have one unique range
Which point doesn’t have multiply ranges for a x value?
Solution: A
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.
Answer:
m=2
Step-by-step explanation:
Add the numbers
-7+4m+10=15-2m
3+4m=15-2m
Rearrange terms
3+4m=15-2m
4m+3=15-2m
Rearrange terms
4m+3=15-2m
4m+3=-2m+15
Subtract 3 from both sides of the equation
4m+3=-2m+15
4m+3-3=-2m+15-3
Simplify
4m=-2m+12
Add 2m to both sides of the equation
4m=-2m+12
4m+2m=-2m+12+2m
Simplify
6m=12
Divide both sides of the equation by the same term
6m = 12
6m/6 = 12/6
Simplify
m = 2
Answer:
2.125
Step-by-step explanation: