Math  /  Geometry

QuestionOn a number line, AA is at 5, BB at -10. If CC divides ABAB in a 1:31:3 ratio, find point DD on BCBC that is 38\frac{3}{8} of the way from BB to CC.

Studdy Solution
Calculate the coordinates of points C and D.
C=5+3.75=8.75C =5 +3.75 =8.75=10+38×.25=6.5625 = -10 + \frac{3}{8} \times.25 = -6.5625Point D on line segment BC that is3/8 of the distance from B to C is at -6.5625 on the number line.

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