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)
We can see on the graph that the dots represent a team, and on the x-axis is the number of wins. Looking at the graph we can see that a lot of teams won around 1-3 and just one team won 8 times, therefore, the correct answer is: The data are clustered from 1 to 3, so most teams won 1 to 3 games
Answer:
5
Step-by-step explanation:
Angle sum property formula
(n-2)180 (where n is the number of sides)
=>(n-2)180=540
=>n-2=540/180
=>n-2=3
=>n=3+2
=>n=5
Answer:
sorry vud
Step-by-step explanation:
I don't know
Answer:
Graph D
Step-by-step explanation:
Move the constant to the opposite side of the equation and group terms that include the same variable.
g(x) + 1 = x^2 + 2x
Finish the square. Remember to keep the equation balanced by using the same constants on both sides.
g(x) + 1 + 1 = x^2 + 2x + 1
g(x) + 2 = x^2 + 2x + 1
Rewrite as perfect squares
g(x) + 2 = (x + 1)^2
Equation in vertex form:
g(x) = (x + 1)^2 - 2
The vertex:
(-1, -2)
* This a minimum *
- <em>(Parabola open upward)</em>
