2 years ago

Next weekend Marlyn wants to attend either Carnival A or Carnival B. Carnival A charges $6.00 for admission

Mathematics

1 answer:

podryga [215]2 years ago

3 0

Answer: 2.5r + 6 ≤ 50

Step-by-step explanation:

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Find P on AB that is 2/3 of the distance from A(-3,-5) to B(9,4).

Ludmilka [50]

A line segment can be divided into ratios.

The coordinate of P on line segment AB is (5,1)

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The position of P from A to B is:

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So, from P to B would be:

$P_B =1 - \frac 23$

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So, the ratio is:

$m : n = \frac 23 : \frac 13$

Simplify

$m : n = 2 :1$

The coordinate of point P is:

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

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$P = (\frac{15}{3},\frac{3}{3})$

$P = (5,1)$

Hence, the coordinate of P is (5,1)