Question

The assistant principal drew a diagram of the courtyard on a coordinate grid. He drew the bike rack at (-6, 1), the bench at (5, 1), and a table at (2, 5).

The length of each square on the grid represented one yard.

What was the distance between the bike rack and the bench?



A. 11 yards

B. 10 yards

C.6 yards

D.8 yards

Answer 1

Answer: 11 yards

Explanation:

Answer 2

Answer: A. 11 yards

Explanation:

To find the distance between the bike rack at (-6, 1) and the bench at (5, 1), we can use the distance formula:

d = sqrt((x2 - x1)^2 + (y2 - y1)^2)

where (x1, y1) is the coordinates of the bike rack and (x2, y2) is the coordinates of the bench.

Substituting the values, we get:

d = sqrt((5 - (-6))^2 + (1 - 1)^2)

d = sqrt((11)^2 + 0^2)

d = sqrt(121)

d = 11

Therefore, the distance between the bike rack and the bench is 11 yards. So, the correct answer is A.