<h3>
Answer:</h3>
19.5 inches
<h3>
Step-by-step explanation:</h3>
Let r represent the length of one of the sections of rope (in inches). Then the total length of the original rope is ...
... 8r +28.9 = 184.9
... 8r = 156 . . . . . . . . . . . . subtract 28.9; next, divide by 8
... 156/8 = r = 19.5
The length of each of the sections is 19.5 inches.
Answer:
4.33
Step-by-step explanation:
Given data
x1= 3
y1=3
x2=6
y2=16
M= y2-y1/x2-x1
substitute
M=16-3/6-3
M= 13/3
M=4.33
Hence the gradient is 4.33
14 because a negative minus a negative is a positive; you add a line and change the sign
Set the to equal:
x^2 - 4x+4 = 2x-4
solve for X
subtract 2x from each side:
x^2 -6x + 4 = -4
subtract 4 from each side:
x^2 -6x = -8
add 8 to both sides:
x^2 -6x +8 = 0
factor the polynomial:
x = 4 and x = 2
using the line equation replace x with 2 and 4 and solve for y
y = 2(2) - 4 = 0
y = 2(4)-4 = 4
so the 2 points the line crosses the curve is (2,0) and (4,4)
using those 2 points you can calculate the length:
distance = sqrt((x2-x1)^2 +(y2-y1)^2
distance = sqrt( (4-2)^2 + (4-0)^2)
distance = sqrt (2^2 + 4^2)
distance = sqrt (4+16)
= sqrt 20
= 2 sqrt(5) EXACT LENGTH
