If slope of a line is m then slope of the perpendicular line is -1/m .
so slope of perpendicular line is -3.
then use this y-y0=m(x-x0)
y+5=-3(x-2)
y+5=-3x+6
y=-3x+1
(x^2+5x-36)/(x^2-16)
=(x^2+9x-4x-36)/(x^2-4^2)
=x(x+9)-4(x+9)/(x+4)(x-4)
=(x-4)(x+9)/(x+4)(x-4)
=x+9/x+4
Hope this helps.
Answer:
The dimensions of rectangle are:
Width = 16 inches
Length = 106 inches
Step-by-step explanation:
Perimeter of rectangle = 244 inches
Let Width of rectangle = w
Length of rectangle = w+90
We need to find the dimensions (length and width) of the carpet
The formula used will be: 
Putting values and making equation:

So, we get w = 16
The width w = 16 inches
Now, finding length = w+ 90 = 16+90 = 106 inches
Therefore the dimensions of rectangle are:
Width = 16 inches
Length = 106 inches
Answer:
D.
Step-by-step explanation:
Answer:
On average, the land moved 0,14 cm each year.
Step-by-step explanation:
To know how much did, on average, the land move, we should divide the total number of cm over the total number of years:
x=24.8 cm/175 years
x=0,1417 cm each year
If we divide years over cm we will get x in years each cm, which is wrong.
Because the problem asks for the answer rounded to the hundredths place:
x= 0,14 cm each year