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

maximum area = xy = (16)(32) = 512 ft2

to maximize the area of the garden, the side of the fence parallel to the side of the house should be 32 ft long, and the other two sides should both have length 16 ft.'

source

i belive those are the ones that are under 90 degreese.