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MatroZZZ [7]
2 years ago
14

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 a

ll steps.
!BRAINLIEST AND 5 STARS TO BEST ANSWER AND FULL
EXPLANATION ONLY!
Mathematics
1 answer:
Shtirlitz [24]2 years ago
7 0

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

<h3>How to determine the coordinates of P?</h3>

The given parameters are:

A = (-9,3)

B = (1, 8)

m : n = 1 : 5

The coordinate of point P is then calculated using:

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

Substitute known values

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

Evaluate

P = \frac{1}{6} (-44, 23)

Evaluate the product

P =  (-\frac{22}3, \frac{23}6)

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

Read more about line segment ratio at:

brainly.com/question/12959377

#SPJ1

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