Step-by-step explanation:
Let's pick two points on the line: 
and 
Let's calculate the slope of this line using these points:
With this value of the slope, we can write the general slope-intercept form of the equation as
To solve for the y-intercept b, let's use either P1 or P2. I'm going to use P2:
Therefore, the slope-intercept form of the equation is
Answer:
y = -cos(x) -2
Step-by-step explanation:
Multiplying the function value by -1 reflects it across the x-axis. Adding -2 to the function value shifts it down by two units.
reflected: y = -cos(x)
then shifted: y = -cos(x) -2
Given:
Total length of tape in roll = 16.8 meters
Length of each piece = 1.125 meters
Number of pieces = 8
To find:
The remaining tape.
Solution:
We have,
Length of 1 piece = 1.125 meters
Length of 8 piece = 8 × 1.125 meters
= 9 meters
Total length of tape in roll = 16.8 meters
Remaining tape = Total length of tape in roll - Length of 8 piece
= 16.8 - 9 meters
= 7.8 meters
Therefore, the length of remaining tape is 7.8 meters.
Use the difference of squares factorization - that for any numbers a and b, (a-b)(a+b)=a^2-b^2.
We have:
(x^2+1)(x^2-1)=x^4-1
In addition:
(x-1)(x+1)=x^2-1, so we have:
(x^2+1)(x+1)(x-1)
As our complete factorization.
