Math problem ben and jerry live on a corner lot. often neighborhood children cut across their lot to save walking distance. if the length of their lot is 14 feet more than its width and the path across their lot is 26 feet, how many feet of walking distance is saved by cutting their property instead of walking around the lot

Walking distance that is saved by cutting their property instead of walking around the lot is nearly 1.5 feet or

Step-by-step explanation:

Let

Width of the lot = x feet

Length of the lot = x + 14 feet

Diagonal = 26 feet

By the Pythagorean theorem,

The distance cannot be negative, so

Find the sum of the length and the width:

So, walking distance that is saved by cutting their property instead of walking around the lot is nearly 1.5 feet or

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)