artasticdrawing
Answered

Westonci.ca is the premier destination for reliable answers to your questions, provided by a community of experts. Join our platform to connect with experts ready to provide accurate answers to your questions in various fields. Our platform provides a seamless experience for finding reliable answers from a network of experienced professionals.

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

Thanks for using our service. 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 visiting Westonci.ca. Stay informed by coming back for more detailed answers.