Question

A segment with endpoints A (3, 4) and C (5. 11) is partitioned by a point B such that AB and BC form a 2:3 ratio. Find B.

Answer 1

The point B is (3.8,6.8) which divides the line in 2:3

Step-by-step explanation:

Given

A(3,4) = (x1,y1)

B(5,11) = (x2,y2)

If the line is divided by B in ratio 2:3 then

a=2

b=3

The formula for finding the point that partitions a line in 2:3 is:

$B=(\frac{ax_2+bx_1}{a+b},\frac{ay_2+by_1}{a+b})\\Putting\ Values\\=(\frac{(2)(5)+(3)(3)}{2+3},\frac{(2)(11)+(3)(4)}{2+3})\\=(\frac{10+9}{5},\frac{22+12}{5})\\=(\frac{19}{5},\frac{34}{5})\\=(3.8,6.8)$

The point B is (3.8,6.8) which divides the line in 2:3

Keywords: Mid-point, Ratio

Learn more about partitioning of line at:

• brainly.com/question/4847829
• brainly.com/question/4892332

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Answer 2

Answer:

(3.8,6.8)

Step-by-step explanation:

Took the test, good luck