Respuesta :
Answer:
Part A: 7 miles
Part B: 5 miles
Part C: √74 or 8.60 miles
Part D: Braylen went the shortest distance
Step-by-step explanation:
Part A:
EE: (-4, 3); MM: (3, 3)
(x₁, y₁) (x₂, y₂)
d = √(x₂ - x₁)² + (y₂ - y₁)²
d = √(3 - (-4))² + (3 - 3)²
d = √(7)² + (0)²
d = √49
d = 7 miles
Part B:
EE: (-4, 3); HH: (-4, -2)
(x₁, y₁) (x₂, y₂)
d = √(x₂ - x₁)² + (y₂ - y₁)²
d = √(-4 - (-4)² + (-2 - 3)²
d = √(0)² + (-5)²
d = √25
d = 5 miles
Part C:
MM: (3, 3); HH: (-4, -2)
(x₁, y₁) (x₂, y₂)
d = √(x₂ - x₁)² + (y₂ - y₁)²
d = √(-4 - 3)² + (-2 - 3)²
d = √(-7)² + (-5)²
d = √49 + 25
d = √74 or 8.60 miles
Part D:
Javi: HH: (-4, -2); EE: (-4, 3); MM: (3, 3)
HH: (-4, -2); EE: (-4, 3);
(x₁, y₁) (x₂, y₂)
d = √(x₂ - x₁)² + (y₂ - y₁)²
d = √(-4 - (-4))² + (3 - (-2))²
d = √(0)² + (5)²
d = √25
d = 5 miles
EE: (-4, 3); MM: (3, 3)
(x₁, y₁) (x₂, y₂)
d = √(x₂ - x₁)² + (y₂ - y₁)²
d = √(3 - (-4))² + (3 - 3)²
d = √(7)² + (0)²
d = √49
d = 7 miles
5 + 7 = 12 miles
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Braylen: HH: (-4, -2); MM: (3, 3)
(x₁, y₁) (x₂, y₂)
d = √(x₂ - x₁)² + (y₂ - y₁)²
d = √(3 - (-4))² + (3 - (-2))²
d = √(7)² + (5)²
d = √49 + 25
d = √74 or 8.60 miles
Braylen went the shortest distance.