Dotty is 51 years old and esmerelda is 23. how many years ago was dotty 3 times esmerelda's age?

9 years ago.

Step-by-step explanation:

Dotty is 51 years old and Esmerelda is 23 now.

Now, x years ago the age of Dotty was (51 - x) years and the age of Esmerelda was (23 - x) years.

Assume that x years ago Dotty was 3 times Esmerelda's age.

So, we can write the equation as

3(23 - x) = 51 - x

⇒ 69 - 3x = 51 - x

⇒ 69 - 51 = 3x - x

⇒ 18 = 2x

⇒ x = 9 years.

Therefore, 9 years ago Dotty was 3 times Esmerelda's age. (Answer)

the formula of a slope:

from a table we have

substitute:

the slope of f(x) is -1.

the graph of funcfion g(x) is a horizontal line. the slope of a horizontal line is equal 0. therefore the slope of g(x) is 0.

-1 < 0