Answer:
15.5 ft
Step-by-step explanation:
The geometry of the problem can be modeled by a right triangle with hypotenuse 16 ft and one side length of 4 ft. If x represents the height of the ladder on the building, then the Pythagorean theorem tells us ...
x^2 + (4 ft)^2 = (16 ft)^2
x^2 = 240 ft^2 . . . . . . subtract 16 ft^2
x ≈ 15.5 ft . . . . . . . . . . take the square root
The top of the ladder is about 15.5 ft above the ground.
Mn - 4m - 5n + 20
In this, mn and -4m have a common factor; m. So we can take that out to make it:
m(n-4) -5n + 20
Now, -5n + 20 also has a common factor which is 5, because 20/5 gives you 4, and 5/5 equals 1. So we can talk out that -5 (it doesn't need to be negative, but negatives on variable, no gusta). So you'd get
m(n-4)-5(n-4) OR m(n-4)+5(-n+4)
Answer:
-3/1
Step-by-step explanation:
The slope can be found by putting the rise over the run.
Pick 2 points on the graph that intercept the line.
I'll pick (0,2), and (1,-1)
Look at the rise.(How many places it goes up or down)
The rise vertical distance(rise), between the two points is -3.
Now look at the run(the horizontal distance.) It's 1.
Rise/Run = -3/1 AKA -3