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olganol [36]
2 years ago
15

3a. The graph shows a school's profit P for selling x lunches on one day. PART A: What is the school's profit for selling 120 lu

nches? * *

Mathematics
1 answer:
Elina [12.6K]2 years ago
7 0

Answer:

100 dollors

Step-by-step explanation:

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Answer:

\left\begin{array}{ccc}A\left( \boxed{3}  , \boxed{8} \right)&B\left( \boxed{9}  , \boxed{6} \right )\\\\C\left( \boxed{1}  ,  \boxed{4} \right)&D\left( \boxed{7}  ,  \boxed{2} \right )\end{array}\right

Step-by-step explanation:

The coordinates are:

\left\begin{array}{ccc}A\left( \boxed{3}  , \boxed{8} \right)&B\left( \boxed{9}  , \boxed{6} \right )\\\\C\left( \boxed{1}  ,  \boxed{4} \right)&D\left( \boxed{7}  ,  \boxed{2} \right )\end{array}\right

The parallelogram is attached below.

To verify if these coordinates form a parallelogram, we show that:

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Using Distance Formula

AB = \sqrt{(6-8)^2+(9-3)^2} = \sqrt{(-2)^2+(6)^2} = \sqrt{40} $ units

CD = \sqrt{(2-4)^2+(7-1)^2} = \sqrt{(-2)^2+(6)^2} = \sqrt{40} $ units

AC = \sqrt{(8-4)^2+(3-1)^2} = \sqrt{(4)^2+(2)^2} = \sqrt{20} $ units

BD = \sqrt{(6-2)^2+(9-7)^2} = \sqrt{(4)^2+(2)^2} = \sqrt{20} $ units

Since AB=CD; and AC=BD, the coordinates A, B, C, and D form the vertex of a parallelogram.

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Answer:

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