Answer:
3.8ft
Step-by-step explanation:
Given data
The total length of the rope= 9ft
We are told that 4ft was cut
=9-4
=5ft
Also, 14 inches from the rope was cut
=14 in to ft
=1.16667ft
=5-1.16667
=3.8ft
Hence the remainder is 3.8ft
Question 1: 410,000
Question 2: 230,000
The first thing that we need to do is find the slope (m). In order to find the slope we need two points. The first point is (x1,y1) and the second point is (x2,y2). The slope is m = (y2-y1)/(x2-x1) = (1/9 - 1/8)/(-1/7 - 1/2) = (8/72 - 9/72)/
(-2/14 - 7/14) = -(1/72)/(-9/14) = 1(14)/72(9) = 7/(36)(9) = 7/324 (Wow!)
Now we can use the point slope formula to make the equation:
y - 1/8 = (7/324)(x - 1/2) Point slope equation
y - 1/8 = (7/324)x - 7/648
y =(7/324)x - 7/648 + 81/648
y = (7/324)x +74/648
y = (7/324)x + 37/324 This is the slope intercept form
-(7/324)x + y = 37/324 This is the standard form