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____ [38]
1 year ago
5

Alonso plans to go to the animal shelter to adopt a dog and then take the dog to Precious Pup Grooming Services. The shelter is

located at (-1, 9) on the coordinate plane, while Precious Pup Grooming Services is located at (11, 0) on the coordinate plane. Find the location of Alonso's home if the ratio of the distance of the shelter to his home to the distance of his home to Precious Pup Grooming is 1:2.
Mathematics
1 answer:
Anna007 [38]1 year ago
5 0

Using proportions, it is found that Alonso's home is located at (3,6).

<h3>What is a proportion?</h3>

A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures.

The ratio of the distance of the shelter to his home to the distance of his home to Precious Pup Grooming is 1:2, hence the following proportion is established:

A - S = 1/3(G - S).

The x-coordinate of his home is found as follows:

x + 1 = 1/3(11 + 1)

x + 1 = 4

x = 3.

The y-coordinate of his home is found as follows:

y - 9 = 1/3(0 - 9)

y - 9 = -3

y = 6.

Alonso's home is located at (3,6).

More can be learned about proportions at brainly.com/question/24372153

#SPJ1

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