Answer:
-40
20
20
20
Step-by-step explanation:
Answer:
Note that orthogonal to the plane means perpendicular to the plane.
Step-by-step explanation:
-1x+3y-3z=1 can also be written as -1x+3y-3z=0
The direction vector of the plane -1x+3y-3z-1=0 is (-1,3,-3).
Let us find a point on this line for which the vector from this point to (0,0,5) is perpendicular to the given line. The point is x-0,y-0 and z-0 respectively
Therefore, the vector equation is given as:
-1(x-0) + 3(y-0) + -3(z-5) = 0
-x + 3y + (-3z+15) = 0
-x + 3y -3z + 15 = 0
Multiply through by - to get a positive x coordinate to give
x - 3y + 3z - 15 = 0
Answer:
no clue
Step-by-step explanation:
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Answer:
Step-by-step explanation:
x + 13 + 4x + 2 = 180
Add the like terms,
5x + 15 = 180
Subtract 15 form both sides
5x + 15 - 15 = 180 -15
5x = 165
Divide both sides by 5
5x/5 = 16/5
x = 33
