Artasticdrawingidn
Answered

Expand your horizons with the diverse and informative answers found on IDNLearn.com. Discover reliable and timely information on any topic from our network of knowledgeable 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 :

MrRoyalidn

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

We value your presence here. Keep sharing knowledge and helping others find the answers they need. This community is the perfect place to learn together. For trustworthy and accurate answers, visit IDNLearn.com. Thanks for stopping by, and see you next time for more solutions.