Shane has a segment with endpoints C(3, 4) and D(11, 3) that is divided by a point E such that CE and DE form a 3:5 ratio. He knows that the distance between the x-coordinates is 8 units. Identify the fraction that will let him find the x-coordinate for point E.

A.) 3 over 5
B.) 5 over 3
C.) 3 over 8
D.) 5 over 8

Respuesta :

Answer:

3/8

Step-by-step explanation:

The fraction that will let him find the x-coordinate for point E is 3 over 8.

Coordinates of the segments

The coordinates of the segment is presented as follows;

C(3, 4) and D(11, 3)

Ratio of the lines is given as 3:5

Total ratio = 3 + 5 = 8

Fraction of the x - coordinate is calculated as follows;

x-coordinate = 3/8 (x₁ + x₂)

Thus, the fraction that will let him find the x-coordinate for point E is 3 over 8.

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