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23. Tyrese is making a map of his neighborhood using
a coordinate plane. He plots the following
locations
• His home is at the origin
• The school is at (4,5)
• The zoo is at (-3,2).
. The park is at (-4,-4). /
• The grocery store is at (4.-1)./
Plot the locations on the coordinate plane. If each unit
of the coordinate plane represents 750 feet, what is the
distance from the school to the grocery store?
The distance from the school to the grocery store is
feet.

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The distance between the school to the grocery store is 4500 feet.

What is a coordinate plane?

A coordinate plane is a two-dimensional plane produced by the intersection of the x-axis and the y-axis on the graph.

We are to represent the given data on the graph which can be seen in the image below.

- His home is at the origin
- The school is at (4,5)
- The zoo is at (-3,2).
- The park is at (-4,-4).
- The grocery store is at (4.-1)

From the image attached below, there are 6 unit differences showing the distance from the school to the grocery store. If each unit in the coordinate plane represents 750 feet.

Thus, 6 units will be = 6 × 750 = 4500 feets

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The distance between the school and the grocery store is 3,000ft.

What is the distance from the school to the grocery store?

First, we need to find the distance between the two locations, we know that:

- School is at (4, 5)
- Grocery store is at (4, -1)

The distance between these two points is:

$$d = \sqrt{(4 - 4)^2 + (5 - 1)^2} = 4$$

And we know that each unit represents 750ft, then we can see that the total distance is:

d = 4*750ft = 3,000ft

And the graph of the 4 points can be seen below.