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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.

Respuesta :

Using proportions, it is found that the coordinates of Alonso's home are given by: (3,6).

What is a proportion?

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 or inverse proportional, can be built to find the desired measures in the problem.

Alonso's home is one third of the way from the shelter to Precious Pup Grooming, considering the ratios given, hence:

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

For the x-coordinate, we have that:

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

x + 1 = 4

x = 3.

For the y-coordinate, we have that:

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

y - 9 = -3

y = 6.

The coordinates of Alonso's home are given by: (3,6).

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

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