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:
2 29/36
Step-by-step explanation:
So circle the two signs., so the problem is now this:
1/4+4/3+1 2/9
Then you find the GCM, or Greatest Common Denominator.
It is 36. Then, you re-write the new answers
9/36+ 48/36+ 1 18/36
Now we have this:
1 65/36
The answer is 2 29/36
Answer:
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Step-by-step explanation:
The generating function of a sequence is the power series whose coefficients are the elements of the sequence. For the sequence
the generating function would be
we can multiply P(x) by x to get
Note that
which for 
can be rewritten as
Answer:
where is part b? Part A is 4/13
Step-by-step explanation:
this is because in total there are 13 marbles. and when you pull out a marble. 4 of them can be red. you can simplify that fraction if need be.
