Answer:

Step-by-step explanation:
since g(x) is equal to
, you just plug in the value of 2 for x, to get
, and 2 to the power of 2 (also known as 2 squared) is equal to 4, which makes your equation
, which equals 5.
Answer:

Step-by-step explanation:
The equation of a line:

We have

substitute:

The formula of a distance between a point and a line:
General form of a line:

Point:

Distance:

Convert the equation:
|<em>subtract
from both sides</em>
|<em>multiply both sides by 3</em>

Coordinates of the point:

substitute:


|<em>multiply both sides by
</em>
|<em>divide both sides by 3</em>

Finally:

Answer:
Step-by-step explanation:
The second one I believe.
Answer:
x^2+y^2+z^2-10x-6y-10z +50 =0
Step-by-step explanation:
Given that a sphere is contained in the first octant
Centre of the sphere is given as (5,3,5)
Since this is contained only in the first octant radius should be at most sufficient to touch any one of the three coordinate planes
When it touches we can get the maximum sphere
We find that y coordinate is the minimum of 3 thus radius can be atmost 3 so that then only it can touch y =0 plane i.e. zx plane without crossing to go to the other octants.
Hence radius =3
Equation of the sphere would be

Answer:
one fifth of a chance
Step-by-step explanation: