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4 years ago

PLEASE HELP ASAP !!!

Mathematics

1 answer:

Harrizon [31]4 years ago

3 0

Answer:

9/28

Step-by-step explanation:

1/4 = 7/28 is owned by the first person.

3/7 = 12/28 is owned by the second person.

The third person owns 28/28 -7/28 -12/28 = 9/28 of the business.

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Points P, Q and R are collinear such that PQ : QR=2:3 point P is located at (1,3) and point R is located at (11,15)

balandron [24]

Using line segments, it is found that:

The coordinates of Q are (5,7.8).

The midpoint of segment PQ is M(6,9).

----------------------------

Point P is located at (1,3).
Point R is located at (11,15).
Point Q is located at (x,y).
PQ:QR = 2:3, which means that:

$Q - P = \frac{2}{5}(R - P)$

This is used to find the x and y coordinates of Q.

----------------------------

The x-coordinate of P is 1.
The x-coordinate of R is 11.
The x-coordinate of Q is x.

Thus:

$Q - P = \frac{2}{5}(R - P)$

$x - 1 = \frac{2}{5}(11 - 1)$

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----------------------------

The y-coordinate of P is 3.
The y-coordinate of R is 15.
The y-coordinate of Q is y.

Thus:

$Q - P = \frac{2}{5}(R - P)$

$y - 3 = \frac{2}{5}(15 - 3)$

$y - 3 = \frac{24}{5}$

$y - 3 = 4.8$

$y = 7.8$

The coordinates of Q are (5,7.8).

----------------------------

The midpoint of segment PQ is the mean of the coordinates, thus:

$M = (\frac{1 + 11}{2}, \frac{3 + 15}{2}) = (\frac{12}{2}, \frac{18}{2}) = (6,9)$

The midpoint of segment PQ is M(6,9).

A similar problem is given at brainly.com/question/24148182

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