Alrighty, so, 9 less hints to subtract. The product of 37 and x means that you're multiplying 37 and x. Therefore, I believe the answer that you're looking for is 37x-9.
Hope this helps! (:
Answer:
56 , 13 , 13 , 13
Step-by-step explanation:
That multiple of 19 is
=> 19 * 3 = 57
Now, the quantity left
=> 96-57 = 39
This can be divided equally into 3 number.
=> 39/3 = 13
So, 3 13's will come in the next boxes.
Answer:
336.
Step-by-step explanation:
8 x 7 x 6 = 336.
Feel free to let me know if you need more help! :)
Answer:
The equation for the relationship is 
.
Step-by-step explanation:
Given that point 
is part of a direct relationship. That is:
(1)
Where 
is the proportionality constant.
If we know that 
and 
, then the proportionality constant is:
Lastly, the equation for the relationship is .
The cross product of the normal vectors of two planes result in a vector parallel to the line of intersection of the two planes.
Corresponding normal vectors of the planes are
<5,-1,-6> and <1,1,1>
We calculate the cross product as a determinant of (i,j,k) and the normal products
i j k
5 -1 -6
1 1 1
=(-1*1-(-6)*1)i -(5*1-(-6)1)j+(5*1-(-1*1))k
=5i-11j+6k
=<5,-11,6>
Check orthogonality with normal vectors using scalar products
(should equal zero if orthogonal)
<5,-11,6>.<5,-1,-6>=25+11-36=0
<5,-11,6>.<1,1,1>=5-11+6=0
Therefore <5,-11,6> is a vector parallel to the line of intersection of the two given planes.
