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Ksenya-84 [330]
1 year ago
11

23. Tyrese is making a map of his neighborhood using

Mathematics
2 answers:
andrey2020 [161]1 year ago
8 0

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

<h3>What is a coordinate plane?</h3>

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

Learn more about coordinate plane here:

brainly.com/question/2644832

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RUDIKE [14]1 year ago
5 0

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

<h3>What is the distance from the school to the grocery store?</h3>

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.

If you want to learn more about distance between points:

brainly.com/question/7243416

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Answer:

0 < x < 8

Step-by-step explanation:

Given

4 < x + 4 < 12

Required

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4 < x + 4 < 12

Split:

4 < x + 4  and  x + 4< 12

Collect Like Terms

4 - 4 < x and x < 12- 4

0 and x < 8

Combine

0 < x < 8

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?Eric conducted an experiment in his science class and recorded the data in a table.
Vitek1552 [10]

The constant of proportionality that relates the distance traveled to the elapsed time represented by this data will be 6.

<h3>What is the linear system?</h3>

A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.

Eric conducted an experiment in his science class and recorded the data in a table.

Eric’s science experiment, time (seconds), 3, 6, 9, 12, 15, 18, distance (ft), 18, 36, 54, 72, 90, 108.

Let x be the time and y be the distance.

Let the distance and time be linear to each other. Then the linear equation is given as

y -  36 = [(36 - 18) / (6 - 3)] (x - 6)

y - 36 = 6 (x - 6)

       y = 36 + 6x - 36

       y = 6x

Then the constant of proportionality that relates the distance traveled to the elapsed time represented by this data will be 6.

More about the linear system link is given below.

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