Answered

Welcome to Westonci.ca, your ultimate destination for finding answers to a wide range of questions from experts. Experience the convenience of getting reliable answers to your questions from a vast network of knowledgeable experts. Get immediate and reliable solutions to your questions from a community of experienced professionals on our platform.

What are the x- and y- coordinates of point p on the directed line segment from k to j such that p is three-fifths the length of the line segment from k to j? x = (startfraction m over m n endfraction) (x 2 minus x 1) x 1 y = (startfraction m over m n endfraction) (y 2 minus y 1) y 1 (40, 96) (85, 105) (80, 104) (96, 72)

Sagot :

The coordinate of P is (A) ( 40, 96).

What are coordinates?

  • Coordinates are two integers (Cartesian coordinates) or a letter and a number that point to a specific place on a grid known as a coordinate plane.
  • A coordinate plane has four quadrants and two axes: x (horizontal) and y (vertical) (vertical).

To find What are the x- and y- coordinates of point p on the directed line segment from K to J:

It can be seen from the figure the coordinates of K and J:

  • K ( 160 ,120) and J (-40 , 80)

The coordinates of P can be determined as:

[tex]x=\frac{m}{m+n} (x_{2}-x_{1})+x_{1} } \\y=\frac{m}{m+n} (y_{2}-y_{1})+y_{1} } \\[/tex]

So, as the P point divides the line into three-fifths of the length,

  • KP = (3/5)KJ  
  • JP = (2/5) KJ

Which gives the ratio as 3: 2.

m:n = 3:2

  • x = (3/5) (-40 -160) + (160)
  • x = 40
  • y = ( 3/5)(-40) +120
  • y = 96

Therefore, the coordinate of P is (A) ( 40, 96).

Know more about coordinates here:

https://brainly.com/question/17206319

#SPJ4

The complete question is shown below:

What are the x- and y- coordinates of point P on the directed line segment from K to J such that P is Three-fifths the length of the line segment from K to J?

x = (StartFraction m Over m + n EndFraction) (x 2 minus x 1) + x 1

y = (StartFraction m Over m + n EndFraction) (y 2 minus y 1) + y 1

(A) (40, 96)

(B) (85, 105)

(C) (80, 104)

(D) (96, 72)

View image tutorconsortium33
Thanks for using our platform. We're always here to provide accurate and up-to-date answers to all your queries. We appreciate your time. Please come back anytime for the latest information and answers to your questions. Thank you for using Westonci.ca. Come back for more in-depth answers to all your queries.