One year after you buy a tree, it is 10 feet tall. Each year after you buy the tree, it grows 2 feet. Write a function that represents the arithmetic sequence (1,10),(2,12),(3,14). How long does it take for the tree to reach its maximum height of 28 feet?

10 years

Step-by-step explanation:

We are told that One year after you buy a tree, it is 10 feet tall. Thus, it's initial height after 1 year is 10 ft.

Now we are told that each year after you buy the tree, it grows 2 feet. This means that it's height after you bought it was; f(0) = 10 - 2 = 8ft

Thus,

f(1) = 8 + 2 = 10

f(2) = 8 + 2 + 2 = 12

f(3) = 8 + 2 + 2 + 2 = 14

The pattern here is;

f(x) = 8 + 2x

Where x is number of years

Thus, for it to reach a maximum height of 28 ft;

28 = 8 + 2x

Subtract 8 from both sides to give;

28 - 8 = 2x

2x = 20

x = 20/2

x = 10 years

1)is not similar since corresponding sides are not in the same ratio

2)are similar since corresponding sides are in the same ratio and corresponding angles are equal

hope it will

#faazmessi

yo answer should be 6 if im not mistaken

step-by-step explanation: