MATH SOLVE

3 months ago

Q:
# What are the x- and y- coordinates of point P on the directed line segment from K to J such that P is 3/5 the length of the line segment from K to J?(40, 96)(85, 105)(80, 104)(96, 72) the answer 40, 96

Accepted Solution

A:

Answer:option A)(40, 96)Step-by-step explanation:Given that,The coordinates of point K and J areK(160,120)J(-40,80)x1 = 160x2 = -40y1 = 120y2 = 80P is (3/5) the line of the line segment from K to JSo, KP = (3/5) KJ and JP = (2/5) KJOR we will divide the length of KJ with the ratio 3 : 2 from K m : n 3 : 2m = 3n = 2 by using this formula and putting values in it xp = (m/m+n)(x2-x1) + x1yp = (m/m+n)(y2-y1) + y1xp = (3/3+2) (-40-160) + 160yp = (3/3+2) (80-120) + 120xp = 40yp = 96