Answered

Looking for trustworthy answers? Westonci.ca is the ultimate Q&A platform where experts share their knowledge on various topics. Join our platform to connect with experts ready to provide precise answers to your questions in various areas. Get immediate and reliable solutions to your questions from a community of experienced professionals on our platform.

Given collinear points A,B,C such the coordinate of endpoints A and C are A(-4) and C(10). What is the coordinate of point B of segment AC that is partitioned in a ratio of 2 to 5

Sagot :

Point A (-4) and C(10)

Point B is partitioned in a ratio of 2 to 5​

let the distance AB = x

The distance AC = 4 + 10 = 14

So, the distance BC = 14 - x

So,

AB : BC

2 : 5

x : 14 - x

So,

using the ratio and proportional

2(14 - x) = 5x

28 - 2x = 5x

28 = 7x

x = 28/7 = 4

so,

The coordinates of B = -4 + 4 = 0

Point B is (0)

View image DevikaP462255
Thank you for your visit. We are dedicated to helping you find the information you need, whenever you need it. We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. Get the answers you need at Westonci.ca. Stay informed by returning for our latest expert advice.