The rectangle has a perimeter of 18 ft with a length of 6 ft.a new rectangle is formed by decreasing the width of the original rectangle by 1 foot and keeping the same length.how will the perimeter of the new rectangle compare with the perimeter of the original rectangle?

18x6 is 108

17x6 is102

Step-by-step explanation:

The new perimeter will be 2 feet shorter.

Step-by-step explanation:

You are subtracting 1 foot from the width, meaning you are subtracting 1 foot from each of 2 sides. If you do that, your new perimeter would be 16 feet.

Original width:

6×2=12

18-12=6

6÷2=3

The original width was 3 feet.

To find the new perimeter:

3-1=2

2×2=4

6×2=12

4+12=16

The new perimeter is 16 feet, 2 feet shorter than the original (18 feet).

The slope of f(x) is 10 and the slope of g(x) is 5; g(x) has the greater y-intercept.

To find the slope of f(x), we use the slope formula:  m=(y₂-y₁)/(x₂-x₁) = (-1--11)/(0--1) = (-1+11)/(0+1) = 10/1 = 10.

To find the slope of g(x), we just look at the form it is in.  It is written in slope-intercept form, y=mx+b, where m is the slope.  The number in g(x) that would correspond to m is 5.

The y-intercept of f(x) is found by looking at the points.  Any y-intercept will have an x-coordinate of 0; the only point like this in the table is (0, -1) so the y-intercept is -1.

For g(x), we again look at the form y=mx+b.  The number that corresponds with b is the y-intercept; in this case, it is 1.  1>-1, so g(x) has the larger y-intercept.