Answer:
r = 1
Step-by-step explanation:
slope = change in y / change in x, so:
change in y / change in x = 2/3
5 - r / 7 - 1 = 2/3
5 - r / 6 = 2/3

now solve this equation.
first, multiply both sides by 6 to get rid of the fraction:

subtract 5 from both sides

multiply both sides by -1

D, one number is positive and the other is negative. The only way it could equal 0 is to cross the other out. An example is, -5+5=0
To find the area of the shaded region you need find the area
of the shaded region and subtract the area of the unshaded region.
Area of a rectangle = width x length
A = (x + 10) x (2x + 5)
Next apply FOIL or
First Outer Inner Last
A = (x * 2x) (x * 5) (10 * 2x) (10 * 5)
A= 2x2 + 5x + 20x + 50
A= 2x2 +25x +50
Area of a square= sides2
A= (x + 1)2
A= (x+1) (x+1)
Next apply FOIL or
First Outer Inner Last
A = (x *x) (1*x) (1*x) (1*1)
A = x2 + 1x + 1x +1
A= x2 + 2x +1
A= 2x2 +25x +50 - 2x2 +25x +50
A= 50x + 100
4/6 = 0,66
So, Tim can mow 0,66 lawns in 1 hours.
Control:
0,66 lawns x 6 hours = 4 lawns
Answer:
Explanation to answers are shown in the attachment
Step-by-step explanation:
This is a long solution but the detailed step by step and appropriate mathematical manipulation has been done as shown in the attachment.