Grace has a segment with endpoints A (3, 2) and B (6, 11) that is partitioned by a point C such that AC and BC form a 2:3 ratio.

Question

3 years ago

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Grace has a segment with endpoints A (3, 2) and B (6, 11) that is partitioned by a point C such that AC and BC form a 2:3 ratio.

She knows the distance between the x coordinates is 3 units. Which of the following fractions will let her find the x coordinate for point C?
3 over 5
3 over 2
2 over 3
2 over 5

Mathematics

1 answer:

kolbaska11 [484] · Answer 1 · 2022-04-20T06:06:28+03:00

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Answer:

2 over 5

Step-by-step explanation:

The problem statement is telling you ...

AC : BC = 2 : 3

Then you know that ...

AC : AB = AC : (AC+BC) = 2 : (2+3) = 2 : 5

Written using fractions, this is ...

AC/AB = 2/5

AC = AB×(2/5) . . . . . . the fraction of interest is 2/5