Answer:
8. d = 20.62
9. d = 47.42
10. (69, -28)
Step-by-step explanation:
(x₁, y₁) (x₂, y₂)
8. Ferris wheel: (2, 20) Water Ride: (-17, 12)
d = √(x₂ - x₁)² + (y₂ - y₁)²
d = √(-17 - 2)² + (12 - 20)²
d = √(-19)² + (-8)²
d = √361 + 64
d = √425
d = 20.62
(x₁, y₁) (x₂, y₂)
9. Roller Coaster: (26, -8) Water Ride: (-17, 12)
d = √(x₂ - x₁)² + (y₂ - y₁)²
d = √(-17 - 26)² + (12 - (-8))²
d = √(-17 - 26)² + (12 + 8)²
d = √(-43)² + (20)²
d = √1849 + 400
d = √2249
d = 47.42
10. Use the Midpoint formula to find the endpoint (aka the exit).
x₁ + x₂ y₁ + y₂
Midpoint = ( ------------ ) , ( --------- )
2 2
Since we know the Midpoint is the Roller Coaster (26, -8) and the beginning point is the Water Ride (-17, 12) we need to plug in the numbers. (x₁, y₁)
-17 + x₂ 12 + y₂
Midpoint = ( ------------ ) = 26(2) , ( --------- ) = -8(2)
2(2) 2(2)
Get rid of the denominator by multiplying 2 with the number on the other side of the equal ( = ) sign.
Midpoint = ( -17 + x₂ = 52 ) , ( 12 + y₂ = -16 )
+17 +17 -12 -12
Midpoint = ( x₂ = 69 ) , ( y₂ = -28 )
The exit is located at point: (69, -28)
I hope this helps!
