Option A: 13 is the distance between the high school and the middle school
Explanation:
Given that the middle school is at (-8,3) and the high school is at (4,-2)
We need to determine distance in blocks between the high school and the middle school.
Distance:
The distance between the high school and the middle school can be determined using the distance formula,
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2[/tex]
Let us substitute the coordinates (-8,3) and (4,-2) in the above formula, we have,
[tex]d=\sqrt{(4+8)^2+(-2-3)^2}[/tex]
Simplifying the values, we have,
[tex]d=\sqrt{(12)^2+(-5)^2}[/tex]
Squaring the terms, we get,
[tex]d=\sqrt{144+25}[/tex]
Adding, we get,
[tex]d=\sqrt{169[/tex]
[tex]d=13[/tex]
Thus, the distance between the high school and the middle school is 13 blocks.
Hence, Option A is the correct answer.
