Answer:
Step-by-step explanation:
g(x) = (x+4)² - 5
19/20= 0.95
-1/8= -0.125
17/5= 3.4
HOPE THIS HELPS!
Given :
Center of sphere , C( 1 , -1 , 6 ) .
To Find :
Find equations of the spheres with center (1, −1, 6) that touch the following planes.a) xy-plane b) yz-plane c) xz-plane .
Solution :
a)
Distance of the point from xy-plane is :
d = 6 units .
So , equation of circle with center C and radius 6 units is :

b)
Distance of point from yz-plane is :
d = 1 unit .
So , equation of circle with center C and radius 1 units is :

c)
Distance of point from xz-plane is :
d = 1 unit .
So , equation of circle with center C and radius 1 units is :

Hence , this is the required solution .
Answer: 120
Step-by-step explanation:
Given : The league championship 800 meter race has 6 runners.
The number of positions = 3
Since order matters here , so we use Permutation.
The permutation of n things taking r at a time is given by :-

Then, the number of different ways they place first, second, and third :_

Hence, they can place first, second, and third in 120 different ways .
If you would like to know the Tom's pay for the week, you can calculate this using the following steps:
P = B * h
P ... the pay
B ... the base pay
h ... the number of hours worked
B = $6.35
h = 28 hours
P = B * h = $6.35 * 28 hours = $177.8
<span>Tom's pay for the week would be $177.8.</span>