Answer:
The equation of tangent plane to the hyperboloid
.
Step-by-step explanation:
Given
The equation of ellipsoid

The equation of tangent plane at the point 
( Given)
The equation of hyperboloid

F(x,y,z)=


The equation of tangent plane at point 

The equation of tangent plane to the hyperboloid

The equation of tangent plane

Hence, the required equation of tangent plane to the hyperboloid

Answer:
x=20
Step-by-step explanation:
45. X= 2/3x+11/6
46. X=7
47. X=-28/19
48.X=1/2
59. X=-4/3-2y/3
60.X=-1+y/2 or 1+y/2
Answer:
The equation of the line is: 
Step-by-step explanation:
Equation of a line:
The equation of a line has the following format:

In which m is the slope and b is the y-intercept.
Two points:
We have these following two points in this exercise:
x = -6, y = -3, so (-6,-3)
x = 4, y = 3, so (4,3)
Finding the slope:
Given two points, the slope is given by the change in y divided by the change in x.
Change in y: 3 - (-3) = 3 + 3 = 6
Change in x: 4 - (-6) = 4 + 6 = 10
So

Then

Finding b:
We replace one of the points in the equation to find b. I will use (4,3).




The equation of the line is: 
You have 2 equations that are both equal to y. If they are both equal to y, then by the transitive property of equality, they are equal to each other (if a = b, and b = c, then a = c).
5x - 17 = x + 3 and
4x = 20 and x = 5. Now sub in that x value of 5 to solve for y:
y = 5 + 3 and y = 8. So the ordered pair is (5, 8)