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

option A)

(40, 96)

Step-by-step explanation:

Given that,

The coordinates of point K and J are

K(160,120)

J(-40,80)

x1 = 160

x2 = -40

y1 = 120

y2 = 80

P is (3/5) the line of the line segment from K to J

So, KP = (3/5) KJ   and  JP = (2/5) KJ

OR we will divide the length of KJ with the ratio 3 : 2 from K

m : n

3 : 2

m = 3

n = 2

by using this formula and putting values in it

xp = (m/m+n)(x2-x1) +  x1

yp = (m/m+n)(y2-y1) +  y1

xp = (3/3+2) (-40-160) +  160

yp = (3/3+2) (80-120) +  120

xp = 40

yp = 96

seems like d

step-by-step explanation:

answer:   x = 3 + √11     and     x = 3 - √11

step-by-step explanation:

x² - 6x + 9 = 11

(x - 3)² = 11

x - 3 = ±√11

    x = 3 ± √11

x = 3 + √11     and     x = 3 - √11