The size of a television refers to the length of the diagonal of its screen. For example, a 20‑inch television has a screen with a diagonal that is 20 inches long. Suppose you have an entertainment unit with a rectangular opening for a television. The rectangular opening is 11 inches by 26 inches.

What is the largest television that you can put in this unit?

A 28-inch television.

Step-by-step explanation:

We can use the Pythagorean Theorem to find the diagonal of the entertainment unit.

a² + b² = c²

11² + 26² = c²

121 + 676 = 797

sqrt(797) = 28.2311884

hello from mrbilldoesmath!

answer:

a(n) - a(n-1) -3

discussion:

this ones a bit interesting. given a(n) = 5 - 3n consider this:

a(n-1) = 5 - 3(n-1)

          = (5 - 3n) + 3             => but a(n) = 5 - 3n, the first term

          = a(n)   + 3                 => subtract 3 from both sides

a(n-1) -3 = a(n)  

or

a(n) - a(n-1) -3

you,

mrb