Joe wants to fence a wreck Tech Mueller pen for his goats the length of the pen should be at least 60 ft and the distance around should be no more than 260 which system of inequalities and graph represent the possible dimensions of the pen
Let's assume the length of the pen as "x" and the width of the pen as "y".
According to the given information, we have two conditions:
1) The length of the pen should be at least 60 ft:
x ≥ 60
2) The distance around the pen should be no more than 260 ft:
2x + 2y ≤ 260
To graph these inequalities, we first need to rearrange them in slope-intercept form:
1) x ≥ 60
The graph will be a vertical line passing through x = 60, since x is greater than or equal to 60.
2) 2x + 2y ≤ 260
Simplifying the inequality, we get:
x + y ≤ 130
The graph will be a straight line with a slope of -1 passing through (130,0).
Now, let's plot these inequalities on a graph:
The line x ≥ 60 will be a vertical line passing through x = 60. We can represent it with a dotted line since it is greater than or equal to 60.
The line x + y ≤ 130 will be a straight line with a slope of -1 passing through (130,0). We can represent it with a solid line.
The feasible region will be the area below the line x + y ≤ 130 and to the right of the line x = 60.
The graph will look like this:
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0 60 130