Let 
. The tangent plane to the surface at (0, 0, 8) is
The gradient is
so the tangent plane's equation is
The normal vector to the plane at (0, 0, 8) is the same as the gradient of the surface at this point, (1, 1, 1). We can get all points along the line containing this vector by scaling the vector by 
, then ensure it passes through (0, 0, 8) by translating the line so that it does. Then the line has parametric equation
or 
, 
, and 
.
(See the attached plot; the given surface is orange, (0, 0, 8) is the black point, the tangent plane is blue, and the red line is the normal at this point)
Answer:
2.9375
2 15/16 as a decimal = 2.9375
2 15/16 in decimal form = 2.9375
Two and fifteen sixteenths as a decimal = 2.9375
2 and 15 over 16 as a decimal = 2.9375
Answer:
1. -16-(-11)=5
2.48 divided by -8 is 12
3.13/5=2
4.81-11=7
5.3*2=35
6 35*2=5
Step-by-step explanation:
Answer:
x=8
Step-by-step explanation:
You would set them equal to each other to get 9x-13=6x+11.
You would them move 6x over so -6x on both sides. This would then get you 3x-13=11.
Then move the -13 over so add 13 to both sides to get 3x=24
Then get x by itself so divide by 3 to get x=24/3.
Then that simplified is 8
