If the ratio of the length of segment AC to the length of segment CB is 3:1, what is the y-coordinate of point C?

Using the internal section formula, the y-coordinate of point C is: 8.5.

Given:

A(2, 4) and B(10, 10)

3:1 = AC/CB = 3/1

m = 3

n = 1

Therefore, using the internal section formula, the y-coordinate of point C is: 8.5.

Learn more about the internal section formula on:

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The coordinates of point C are (8,8.5)

Step-by-step explanation:

The picture of the question in the attached figure

Let

----> coordinates of point C

we have that

The horizontal distance AB is equal to

The vertical distance AB is equal to

Find the horizontal coordinate of point C

we know that

so

----> equation A

----> equation B

substitute equation A in equation B

so

The x-coordinate of point C is equal to the x-coordinate of point A plus the horizontal distance between the point A and point C

Find the vertical coordinate of point C

we know that

so

----> equation A

----> equation B

substitute equation A in equation B

so

The y-coordinate of point C is equal to the y-coordinate of point A plus the vertical distance between the point A and point C

therefore

The coordinates of point C are (8,8.5)

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