7, 13, 19 and 25 have a common difference: 6.
6 added to 7 gives us 13; 6 added to 13 gives us 19, and so on.
Explicit formula: a(n) = 7 + 6(n-1), where 7 is the first term and n is the counter (1, 2, 3, ...).
The first term is 7 (given). This corresponds to n=1.
The second term is a(2) = 7 + 6(2-1), or 7 + 6, or 13. This corresponds to n = 2.
and so on.
Answer:
(16a + 6b) (2x - 3y)
Step-by-step explanation:
32ax + 12bx - 48ay - 18by
(32ax - 48ay) + (12bx - 18by)
16a(2x - 3y) + 6b(2x - 3y) Factor out in both seperate expressions
(16a + 6b) (2x - 3y) Double factoring
Answer:
Graph dots in the points of the following:
(-4,10)
(-3,8)
(-2,6)
(-1,4)
(0,2)
(1,0)
(2,-2)
(3,-4)
(4,-6)
(5,-8)
(6,-10)
Connect these dots to make a line.
Answer:
Step-by-step explanation:
The total surface area of the sphere = 2πr²
Total surface area of the cylinder = 2πr²+2πrh
Total surface area of the solid = 4πr²+2πrh
r is the radius of the sphere and the cylinder
h is the height of the cylinder
Total surface area of the solid = 2πr(r+h)
If the total height of the solid is 18 cm, then r+h = 18cm
Given the Total surface area of the solid = 205π cm
205π = 2πr(r+h)
205π = 2πr(18)
205π = 36πr
205 = 36r
Divide both sides by 36
205/36 = 36r/36
r = 5.69cm
Since r+h = 18cm
5.69+h = 18
h = 18-5.69
h = 12.31cm
