Answer:
Step-by-step explanation:
light blue, 4,6,8
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:
$69.60
Step-by-step explanation:
A gym membership is offered in January for $29.00 per month.
Monthly payment:

Upfront payment:
If you pay upfront for the year you save 20% discount, then you'll save 20% of $348 that is

No, Alex is wrong. The correct expanded form would be 100+60+5+.03+.008
Answer: 120+20x=280
Step-by-step explanation:
280-120=160
160/20=8
The correct answer is the last one, 120+20x=280