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

Actually, the answer is not on the choices you provided.

Divide the segment into 8 equal parts (since 3 + 5 = 8) 

(11 - 3) / 8 = 8/8 = 1. So each x-segment will be 1 unit 
(3 - 4) / 8 = -1/8. So each y-segment will be -1/8 unit. 

CE will represent 3/8 of the line. 

Ex = 3 + 1 * 3 = 3 + 3 = 6 
Ey = 4 + (-1/8) * 3 = 4 - 3/8 = 29/8 

(6 , 29/8) is the point

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The answer is e &