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:
Step-by-step explanation:
angle:: x
complemet: 90-x
supplement: 180-x
Equation:
180-x = 4(90-x)+60
180-x = 360 -4x + 60
3x = 240
x = 80 degrees (the angle)
90-x = 10 degrees (the complement)
180-x = 100 degrees (the supplement)
Answer:
what on the planet is the question
41 because if you separate the parts the square and the triangle then you would have a square that is 16 sq in diameter and a triangle that is 25sq in diameter
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Hope it’s right
Best luck with your studying
