Rectangle ABCDABCDA, B, C, D is graphed in the coordinate plane. The following are the vertices of the rectangle: A(2, 1)A(2,1)A
, left parenthesis, 2, comma, 1, right parenthesis, B(5, 1)B(5,1)B, left parenthesis, 5, comma, 1, right parenthesis, C(5, 6)C(5,6)C, left parenthesis, 5, comma, 6, right parenthesis, and D(2, 6)D(2,6)D, left parenthesis, 2, comma, 6, right parenthesis. Given these coordinates, what is the length of side ABABA, B of this rectangle?
1 answer:
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Answer:
Step-by-step explanation:
A. The first inequality is graphed as a shaded area below the solid line with x-and y-intercepts of 7.5 and 5, respectively. The second inequality is graphed as a shaded area above the solid line with x- and y-intercepts of 3.
The solution set is the set of integer-valued grid points one or between the lines.
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B. The point (5, 1) is included in the solution area. Mathematically, it can be shown to satisfy the two inequalities:
2(5) +3(1) ≤ 15 ⇒ 13 ≤ 15 True
(5) +(1) ≥ 3 ⇒ 6 ≥ 3 True
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C. The point (5, 1) is in the solution set. It means Michael can purchase 5 sandwiches and 1 hot lunch within his budget constraints. That will provide 6 meals, which is more than the minimum of 3 that he wants to provide.
