Direction vector of line of intersection of two planes is the cross product of the normal vectors of the planes, namely
p1: x+y+z=2
p2: x+7y+7z=2
and the corresponding normal vectors are: (equiv. to coeff. of the plane)
n1:<1,1,1>
n2:<1,7,7>
The cross product n1 x n2
vl=
i j l
1 1 1
1 7 7
=<7-7, 1-7, 7-1>
=<0,-6,6>
Simplify by reducing length by a factor of 6
vl=<0,-1,1>
By observing the equations of the two planes, we see that (2,0,0) is a point on the intersection, because this points satisfies both plane equations.
Thus the parametric equation of the line is
L: (2,0,0)+t(0,-1,1)
or
L: x=2, y=-t, z=t
Answer:
The second answer.
Step-by-step explanation:
An x squared term cannot be combined with a term with just an x.
Answer:
9 gallons
Step-by-step explanation:
Since Khloe used 4 times (4x) as much paint for the kitchen and dining room walls, you can take the amount she used on the living room walls and multiply by 4:
Answer: The concentration will be 8 milligrams per liter at 2 hours and 4 hours.
Step-by-step explanation:
GIven: The concentration of a certain painkiller supplied by serum varies in its effectiveness over time according to the following function, 
where C is the concentration of the painkiller in the serum measured in milligrams per liter so that it takes effect during t hours.
Put C(t)=8, then we get
At t=2, 
At t=4, 
Hence, the concentration will be 8 milligrams per liter at 2 hours and 4 hours.
