ANSWER: 3.8 6.8
explanation:11-4 = 7
2/5 of 7 = 14/5
14/5 + 4 = 34/4 = 6.8
y coordinate is 6.8
5-3 = 2
2/5 of 2 = 4/5
4/5 +3 = 19/5 = 3.8
x coordinate is 3.8
A is the correct answer (3.8, 6.8)
BUT " 2:3" ratio is slightly ambiguous it could also mean
3/5 x 7 = 21/5 = 4.25
4.25 + 4 = 8.25
3/5 x 2 = 6/5
6/5 + 3 = 21/5 = 4.25 since that's not one of the possible given answers, ignore it
The coordinate of B is (3.8, 6.8), the correct option is A.
A line segment is a line with fixed length.
A line segment with endpoints A (3, 4) and C (5, 11) is partitioned by a point B
AB and BC form a 2:3 ratio
The coordinates of the partition point B is given by
[tex]\rm (\dfrac{bx_1 +ax_2}{a+b} , \dfrac{by_1+ay_2}{a+b})[/tex]
Here a =2, b = 3
[tex]\rm (\dfrac{3*3 +2 * 5}{5} , \dfrac{3 * 4+ 2 * 11}{5})[/tex]
(3.8, 6.8)
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