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:
x^2+3x-5=0
Step-by-step explanation:
Divide the whole equation by 2
1 x 2 x 2 x 2 x 3 x 3 x 7
$21 for 3 pounds of steak the rate would be 7 because 21/3= 7
To get the distance DC we proceed as follows:
AB-CD
=11-3
=8
BC=15
hence using Pythagorean theorem
c²=a²+b²
c=DC
a=BC
b=8
thus
c²=15²+8²
c²=225+64
c²=289
thus
c=√289
c=17 units
Answer: B. 17 units