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rjkz [21]
3 years ago
7

Given the points A(-3, -2) and B(12, 3), determine the coordinates of point P on directed line segment stack A B with bar on top

that partitions stack A B with bar on top in a ratio of 3/2.

Mathematics
1 answer:
Law Incorporation [45]3 years ago
3 0

Answer:

  P(6, 1)

Step-by-step explanation:

Point P is the weighted average of the end point coordinates. The weights are the reverse of the order of the segment lengths:

  P = (2A +3B)/(2+3)

  P = (2(-3, -2) +3(12, 3))/5 = (-6+36, -4+9)/5

  P = (6, 1)

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Inequation 1: 

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we do the same for the second inequation. Then the solution, is the region of the x-y axes colored in both cases.

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draw the lines 

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let's use the point P(3, 3) to see what region of the lines need to be coloured:

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y+ \frac{2}{3}x\ \textless \ 4
(3)+ \frac{2}{3}(3)\ \textless \ 4
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The graph representing the system of inequalities is the region colored both red and blue, with the blue line not dashed, and the red line dashed.



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Step-by-step explanation:

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