Welcome to Westonci.ca, your one-stop destination for finding answers to all your questions. Join our expert community now! Explore comprehensive solutions to your questions from knowledgeable professionals across various fields on our platform. Discover detailed answers to your questions from a wide network of experts on our comprehensive Q&A platform.

What are the coordinates of the point on the directed line segment from (−8,−6) to (-1, 8) that partitions the segment into a ratio of 5 to 2?

Sagot :

Answer:

(-3, 4)

Step-by-step explanation:

let the point P(x, y)

x = (5/7 × (-1+8)) + (-8)

= (5/7 × 7) -8 = 5-8 = -3

y = (5/7 × (8+6)) + (-6)

= (5/7 × 14) -6 = 10-6 = 4

so, P => (-3 , 4)

[tex]\\ \rm\Rrightarrow M(x,y)[/tex]

[tex]\\ \rm\Rrightarrow\left(\dfrac{mx_2+nx_1}{m+n},\dfrac{my_2+ny_1}{m+n}\right)[/tex]

[tex]\\ \rm\Rrightarrow\left(\dfrac{-5-16}{7},\dfrac{40-12}{7}\right)[/tex]

[tex]\\ \rm\Rrightarrow\left(\dfrac{-21}{7},\dfrac{28}{7}\right)[/tex]

[tex]\\ \rm\Rrightarrow(-3,4)[/tex]