To find the average rate of change, use the following formula:

a and b represent the values of the interval:

Simplify the original equation by combining like terms:


Plug the interval values into the f(x) equation:


Plug in these values into the average rate of change formula:

The average rate of change over this interval is
-11.
Answer:
9/2
Step-by-step explanation:
In order to find the slope of a line that is perpendicular to another line, you must find the opposite and reciprocal of that slope. So, you have 2/9, and then 9/2.
Answer:
59.04°
58.31 inches
Step-by-step explanation:
The solution triangle is attached below :
Since we have a right angled triangle, we can apply trigonometry to obtain the angle ladder makes with the ground;
Let the angle = θ
Tanθ = opposite / Adjacent
Tanθ = 50/30
θ = tan^-1(50/30)
θ = 59.036°
θ = 59.04°
The length of ladder can be obtained using Pythagoras :
Length of ladder is the hypotenus :
Hence,
Hypotenus = √(adjacent² + opposite²)
Hypotenus = √(50² + 30²)
Hypotenus = √(2500 + 900)
Hypotenus = 58.309
Length of ladder = 58.31 inches