Answer:
- 16√3
- -45+15i
- √255
- 6√2 +3√10
Step-by-step explanation:
1)

__
2)

__
3)

__
4)

_____
The applicable identities are ...

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:
8 hours
Step-by-step explanation:
Let t hours be the time needed Sonya to catch up Brianna.
Sonya:
Time = t hours
Rate = 44.8 mph
Distance
miles
Brianna
Time
hours
Rate = 32 mph
Distance
miles
Note that
because Sonya must catch up Brianna.
Use formula 
Hence,

Solve this equation:

X+y=12
x-2y=6
hmm
multiply 2nd equation by -1 and add to first
-x+2y=-6
<u>x+y=12 +</u>
0x+3y=6
3y=6
y=2
sub back
x+y=12
x+2=12
x=10
x=10, y=2
Answer: 9
Step-by-step explanation:
60 x 15/100 = 9
<h2><em>Spymore</em></h2>