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Elan Coil [88]
3 years ago
13

6. Calculate the slope of the line given the two points: (4,9) and (7,11).

Mathematics
1 answer:
Firdavs [7]3 years ago
8 0
2/3 (fraction) is the slope of the line
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Using the digits 1 to 9, at most one time each, fill in the boxes so that the points make a parallelogram. Mathematically, use p
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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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