Question

Use the map of the amusement park.

Roller Coaster 1
Ay
Ferris Wheel
2
Roller Coaster 3
-1
Roller Coaster 2-
-2
A
(1.5, 0.5)
B (-1.5, 0.5)
Merry-Go-Round
Part A
What are the coordinates of the ride
located 1.25 units away from roller
coaster 1, and 3.5 units away from the
merry-go-round?
Water Slide
C
(2,-2)
(-1.5, 1)

Answer 1

To find the coordinates of the ride located 1.25 units away from roller coaster 1 and 3.5 units away from the merry-go-round, locate the roller coaster and merry-go-round on the coordinate plane, draw circles with the given radii, and find the point of intersection.

Step-by-step explanation:

To find the coordinates of the ride located 1.25 units away from roller coaster 1 and 3.5 units away from the merry-go-round, we can use the coordinate plane given in the map of the amusement park.

1. Locate roller coaster 1 at coordinates (1.5, 0.5).
2. Draw a circle with a radius of 1.25 units centered at roller coaster 1. This circle represents the ride located 1.25 units away from roller coaster 1.
3. Locate the merry-go-round at coordinates (2, -2).
4. Draw a circle with a radius of 3.5 units centered at the merry-go-round. This circle represents the ride located 3.5 units away from the merry-go-round.
5. The point of intersection between the two circles is the coordinates of the ride located 1.25 units away from roller coaster 1 and 3.5 units away from the merry-go-round.

Therefore, the coordinates of the ride are approximately (2.84, -0.31).