Answered

Find the best answers to your questions at Westonci.ca, where experts and enthusiasts provide accurate, reliable information. Get quick and reliable solutions to your questions from a community of experienced professionals on our platform. Discover detailed answers to your questions from a wide network of experts on our comprehensive Q&A platform.

On a coordinate plane, a line is drawn from point J to point K. Point J is at (negative 15, negative 5) and point K is at (25, 15). What are the x- and y- coordinates of point E, which partitions the directed line segment from J to K into a ratio of 1:4? 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 (–13, –3) (–7, –1) (–5, 0) (17, 11)

Sagot :

MrRoyal

Answer:

[tex](x,y) = (-7,-1)[/tex]

Step-by-step explanation:

Given

[tex](x_1,y_1) = (-15,-5)[/tex]

[tex](x_2,y_2) = (25,15)[/tex]

[tex]m:n = 1:4[/tex]

Required

Determine the coordinate of the partition

This is calculated as:

[tex](x,y) = (\frac{nx_1+ mx_2}{m+n},\frac{ny_1+ my_2}{m+n})[/tex]

Substitute values for x's and y's

[tex](x,y) = (\frac{4*-15+ 1*25}{1+4},\frac{4*-5+ 1*15}{1+4})[/tex]

[tex](x,y) = (\frac{-60+ 25}{5},\frac{-20+ 15}{5})[/tex]

[tex](x,y) = (\frac{-35}{5},\frac{-5}{5})[/tex]

[tex](x,y) = (-7,-1)[/tex]

Answer:

b

Step-by-step explanation:

i think that's right

We hope our answers were useful. Return anytime for more information and answers to any other questions you have. Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. Westonci.ca is your go-to source for reliable answers. Return soon for more expert insights.