You are helping your dad build a rectangular dog park. The length of the dog park feet can be represented by 8x + 2 and the width in feet can be represented by 2x - 12. If your dad bought 160 feet of fencing
(perimeter), what is the length of the dog park?

The length of the dog park is 74 feet.

Step-by-step explanation:

Given that,

Length of park = (8x+2)..(I)

Width of park = (2x-12)...(II)

Perimeter = 160 feet

We need to calculate the value of x

Using formula of perimeter of rectangular park

Where, l = length

w = width

Put the value into the formula

We need to calculate the length of the dog park

Using equation (I)

Put the value of x

Hence, The length of the dog park is 74 feet.

step-by-step explanation:

options a,b,c are the right answer.

step-by-step explanation:

a linear parent function is always represented as y = x

if we write this function in the form of y=mx+c

⇒

or  

now if we plot a graph we will find these characteristics:

1) y intercept of the graph is zero so its a straight line passing through origin.

2) as we can see in both the forms of function written, values of x and y may be either positive or negative for the positive slope means points on the graph are either in first quadrant or in third one.

3) it's slope is one.