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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 that the distance between the x-coordinates is
units. Which of the following fractions will let her find the x-coordinate for point C?
A.3/5
B.3/2
C.2/3
D.2/5

Respuesta :

abidemiokin

The fractions will let her find the x-coordinate for point C is 2/5

How to calculate the midpoint of coordinates

The formula for calculating the midpoint of coordinates is expressed as:

[tex]M(x,y) = (\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]

Substitute the given coordinate into the formulas:

[tex]M(x,y) = (\frac{3(2)+3(6)}{2+3},\frac{2(2)+3(11)}{2+3}) \\M(x,y) = (\frac{24}{5},\frac{37}{5}) \\M(x,y) = (4.8,7.4)[/tex]

From the calculation, we can see that the fractions will let her find the x-coordinate for point C is 2/5

Learn more on midpoint here: https://brainly.com/question/5566419

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