artasticdrawing
Answered

Welcome to Westonci.ca, the Q&A platform where your questions are met with detailed answers from experienced experts. Join our platform to connect with experts ready to provide precise answers to your questions in various areas. Get detailed and accurate answers to your questions from a dedicated community of experts on our Q&A platform.

Find the coordinates of P so that P partitions segment AB in the part-to-whole ratio of 1 to 5 with A(-9, 3) and B(1, 8). Show all steps.

!BRAINLIEST AND 5 STARS TO BEST ANSWER AND FULL
EXPLANATION ONLY!

Sagot :

MrRoyal

The coordinate of point P so that P partitions segment AB in the part-to-whole ratio of 1 to 5 is [tex](-\frac{22}3, \frac{23}6)[/tex]

How to determine the coordinates of P?

The given parameters are:

A = (-9,3)

B = (1, 8)

m : n = 1 : 5

The coordinate of point P is then calculated using:

[tex]P = \frac{1}{m + n} (mx_2+nx_1,my_2+ny_1)[/tex]

Substitute known values

[tex]P = \frac{1}{1 + 5} (1 * 1 + 5 * -9, 1 * 8 + 5 * 3)[/tex]

Evaluate

[tex]P = \frac{1}{6} (-44, 23)[/tex]

Evaluate the product

[tex]P = (-\frac{22}3, \frac{23}6)[/tex]

Hence, the coordinate of point P is [tex](-\frac{22}3, \frac{23}6)[/tex]

Read more about line segment ratio at:

https://brainly.com/question/12959377

#SPJ1

Visit us again for up-to-date and reliable answers. We're always ready to assist you with your informational needs. Thank you for choosing our platform. We're dedicated to providing the best answers for all your questions. Visit us again. Your questions are important to us at Westonci.ca. Visit again for expert answers and reliable information.