Answer:
The function rule in slope-intercept form is:
Step-by-step explanation:
The slope-intercept form of a function is given as:
Here
m is the rate of change of function and b is the y-intercept
The rate of change is calculated as:
For this, any two pairs of input and output can be taken.
So using the pairs (1,-3) and (2,-1)
Putting the value of slope in slope-intercept form
Putting (1,-3) in the equation
Putting the value of b
Hence,
The function rule in slope-intercept form is:
If the shapes are similar, the correspondent sides are in proportion:
Let's plug the values and solve for x:
Multiply both sides by x to get
The only feasible solution, though, is 
, because it wouldn't make sense to have negative lengths.
Answer:
4x - 36 feet
Step-by-step explanation:
The area A of a square whose sides are s units is given as
A = s * s
Given that the area A = x^2-18x+81, factorizing
A = x^2-9x-9x+81
A= x(x-9)-9(x-9)
A = (x-9)(x-9)
A = (x-9)^2
This means that the size of each side of the square courtyard is x-9 feet long
Recall that the perimeter P of a square whose side is s long is given as
P = 4s hence since the side of the courtyard is x - 9 feet, the perimeter of the courtyard
P = 4(x-9)
= 4x - 36 feet
Answer: 53 degree
Explanation:
AEB + BEC + CED = 180 degree
37 + 90 + CED = 180
CED = 180 - 127
CED = 53 degree
