X + y = 20---- 1
x - y = 8----- 2
From 1+2
2x = 28
x = 14
Substitute x in eq.2
14 -y = 8
y = 6
Ans : x= 14 , y= 6
Using proportions, it is found that the coordinates of Alonso's home are given by: (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 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 brainly.com/question/24372153
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A mathematical equation is an expression containing at least one variable and an equals sign with a mathematical expression on each side of it.
We have the following function that is a
quadratic function:
So the graph of this function is shown in the figure below. This is a
parabola as you can see. The roots of this functions, that is, the x-intercepts are:

As you can see in the figure. This function
decreases from

and
increases from

Finally, it is important to note that the
vertex is the point:
The answer is the second graph.