Aladder is leaning against a building. the distance from the bottom of the ladder to the building is 44 ft shorter than the length of the ladder. how high up the side of the building is the top of the ladder if that distance is 22 ft less than the length of the ladder?

88 ft

Step-by-step explanation:

Let l = the length of the ladder and

l - 44 = the distance along the ground and

l - 22 = the height on the building

We have a right triangle, so we can apply Pythagoras' Theorem.

We must find numbers that multiply to make 2420 and add to make -132.

Some trial-and-error will give you the numbers -110 and  -22.

-110 × (-22) = 2420 and  

-110 + (-22) = -132

Then

l - 22 = 0     l - 122 = 0

      l = 22             l = 110

We reject l = 22, because that would make the height of the ladder equal to zero.  

Height of ladder = l - 22 = 110 - 22 = 88 ft.

answer: there are x+184 pages in olivia's book.

step-by-step explanation:

let the total number of pages in the book which olive has already read be x.

then if olive has 184 pages left to read, then the total number of pages are in olive's book= pages she has read+pages she has left to read

therefore, the total number of pages in olivia's book=

hence, there are x+184 pages in olivia's book.

24

step-by-step explanation:

if it takes 8 pounds to make 12 divide 12 by 8 and you get 1.5, 1.5 x 16 = 24