A ladder that is 14 feet long is placed against a building. The bottom of the ladder is 6 feet from the base of the building. In feet, how high up the side of the building is the top of the ladder? Round to the nearest tenth of a foot.

12.7ft

Step-by-step explanation:

this involves the Pythagoras theorem: base²  x height²  = hypotenuse²

b²  x h²  = hyp²

6²  x h²  = 14²

36 x h²  = 196

h²  = 196 - 36

h²  = 160

h = square root of 160

h = 12.65 - to the nearest tenth

 = 12.7ft

the one on the bottom left

step-by-step explanation:

all of the other ones have a specific pattern

y=mx+b

step-by-step explanation:

m slope, b y-intercept