Dale and sharon mahnke have decided to fence off the garden plot behind their house, using their house as a "fence" along one side of a garden. the length (which runs parallel to the house) is 66 feet less than twice the width. find the dimensions if 30 feet of fencing is used along the three sides requiring it.

The length l is given as:

l = 2 w – 6

where w is the width

We know that the fencing is 30 feet therefore the perimeter (excluding the side of the house) is:

P = l + 2 w = 30

2 w – 6 + 2 w = 30

4 w – 6 = 30

w = 9

So the length l is:

l = 2 (9) – 6

l = 12

The dimensions are 12 ft x 9 ft

step-by-step explanation:

answers available in this download

(pearson%2c%25202012)%2520bbs.pdf& usg=aovvaw1obmtxnfghfgxhx0urh_je

c. y = 1/4 x + 5

step-by-step explanation:

first, put the equation of the line on the graph into slope-intercept form

(y = mx + b):   y = -4x + 8

second, a perpendicular line has to have "an opposite/reciprocal slope" to the original slope. so, find the "m" value in your original equation (it's -4, right? )

original slope: m = -4   perpendicular slope: change the sign to its opposite and find the reciprocal ("flip" the number)

new slope is now positive (b/c the original slope was negative 4), and it's 1/4 (not the original slope of 4 or 4/1)