# The international cricket team is going to stadium to play the T20 cricket game. A coordinate grid is superimposed on a highway map

###### Question:

## Answers

The coordinate of the rest stop is: [tex](5,2.5)[/tex]

The distance between the hotel and the stadium is 32 miles

Step-by-step explanation:

Given

[tex](x_1,y_1) = (3,4)[/tex] --- Team hotel

[tex](x_2,y_2) = (7,1)[/tex] --- Stadium

Solving (a): The coordinates of the rest stop

The rest stop is at half way;

So, the coordinate is:

[tex](x,y) = \frac{1}{2}(x_1+x_2,y_1+y_2)[/tex]

This gives:

[tex](x,y) = \frac{1}{2}(3+7,4+1)[/tex]

[tex](x,y) = \frac{1}{2}(10,5)[/tex]

Open bracket

[tex](x,y) = (5,2.5)[/tex]

Solving (b): Distance between the hotel and the stadium

We have:

[tex](x_1,y_1) = (3,4)[/tex] --- Team hotel

[tex](x_2,y_2) = (7,1)[/tex] --- Stadium

The distance (d) is:

[tex]d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}[/tex]

So, we have:

[tex]d = \sqrt{(3 - 7)^2 + (4 - 1)^2}[/tex]

[tex]d = \sqrt{(-4)^2 + 3^2}[/tex]

[tex]d = \sqrt{16 + 9}[/tex]

[tex]d = \sqrt{25}[/tex]

[tex]d =5[/tex]

From the question, we have:

[tex]1\ unit = 6.4\ miles[/tex]

So:

[tex]d =5 * 6.4\ miles[/tex]

[tex]d =32\ miles[/tex]

i believe the answer is d.

hope it you! : d

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