Question

On a small town map, where each unit represents 2 miles, the football field is located at (1,−1), the elementary school is located at (1,2), the middle school is located at (−4,2), and the high school is located at (−4,−1). Which statement is true?

Answer 1

Answer: We can plot the given points on a coordinate plane where each unit represents 2 miles:

y

| E(1,2)

|

| M(-4,2)

|

|

|H(-4,-1) F(1,-1)

|___________________

x

Now we can see that the distance between the football field (F) and the high school (H) is 5 units in the x direction and 1 unit in the y direction, which corresponds to a distance of 5 x 2 = 10 miles in the x direction and 1 x 2 = 2 miles in the y direction. Using the Pythagorean theorem, we can find the distance between the two points:

distance = sqrt((10)^2 + (2)^2)

= sqrt(104)

So the distance between the football field and the high school is approximately 10.198 miles. Therefore, the statement that is true is:

"The distance between the football field and the high school is approximately 10.198 miles."

Explanation: