Answer:
-3 + (n-1)(-4)
Step-by-step explanation:
We follow the formula.
a1 + (n-1)d
d is the common difference.
Answer:
1/20
Step-by-step explanation:
Karina ate 1/2 of the muffins. Ulysses ate 1/4 of the muffins. Zawanna ate 1/5 of the muffins. Juan ate the rest of the muffins. What fraction of the muffins did Juan eat?
Let the total number of muffins = 1
Hence:
The fraction of muffins Juan ate =
1 - (1/2 + 1/4 + 1/5)
Lowest common denominator is 20
1 - ( 10 + 5 + 4/20)
1 - 19/20
= 1/20
The Fraction of muffins Juan ate is 1/20
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 .