Step-by-step explanation:
An arithmetic sequence is given by relation as follows :

For the first term, put n = 1. So,

For fourth term, put n = 4. So,

For tenth term, put n = 10. So,

Hence, the correct option is (C).
Answer:
Step-by-step explanation:
Use math-way go quick and easy answers without step by step explanations, and use math-soup-calculator for step by step explanation
Answer:
y = 2/3x +6 for x< -3
y = 2/3x +1 for x> 3
Step-by-step explanation:
The graph is a line for x < -3
( - 6,2) and ( -3,4)
The slope is m= ( y2-y1)/(x2-x1)
m = ( 4-2)/(-3 - -6) = 2/ ( -3+6) = 2/3
The slope is 2/3
Using point slope form
y-y1 = m(x-x1) and the point ( -6,2)
y -2 = 2/3(x - -6)
y -2 = 2/3(x +6)
y-2 = 2/3 x +4
y = 2/3x +6 x< -3
The graph is a line for x > 3
(3,3) and ( 6,5)
The slope is m= ( y2-y1)/(x2-x1)
m = ( 5-3)/(6-3) = 2/ (3) = 2/3
The slope is 2/3
Using point slope form
y-y1 = m(x-x1) and the point (6,5)
y -5 = 2/3(x - 6)
y-5 = 2/3 x -4
y = 2/3x +1 x> 3
You haven't included a picture of the diagram or the statements!
Set it up as a ratio:
mans shadow over mans height (4/6 ) equals flag pole shadow over flag pole height (15/x)
set them to equal each other:
4/6 = 15/x
cross multiply: 4*x =4x, 15*6 = 90
so you have 4x = 90
now divide both sides by 5 to solve for x, which is the height of the flag pole:
x = 90 / 4 = 22.5 feet tall