A certain television is advertised as a 45-inch TV (the diagonal length). If the width of the TV is 36 inches, how many inches tall is the TV?

The TV is 27 inches tall.

Step-by-step explanation:

Given,

The diagonal length of the TV = 45 in

The width of the TV = 36 in

To find the length the the TV.

Formula

By Pythagoras theorem,

h²=l²+b², where h be hypotenuse, b be base and l be height.

Now,

Putting, h=45, b= 36 we get,

45²=l²+36²

or, l²= 45²-36²

or, l²= 729

or, l = √729

or, l = 27

Hence,

The TV is 27 in tall.

shift 4 units up, and 1 unit left.

it will translate f(x) = 3^x to g(x) = 3^(x+1) + 4

you didn't post any answer choices, so its not 100% clear what your teacher is looking for

however, log(15/7) is equivalent to log(15) - log(7)

i'm using the rule log(x/y) = log(x) - log(y)