Answer:
4. d = 4
5. d = 8.8
6. d = 6
7. d = 10
8. d = 3
9. d = 1
Explanation:
4. (-5, 2), (-5, 6)
(x₁, y₁) (x₂, y₂)
d = √(x₂ - x₁)² + (y₂ - y₁)²
d = √(-5 - (-5))² + (6 - 2)²
d = √(-5 + 5)² + (4)²
d = √(4)²
d = √16
d = 4
5. (4.5, -3.3), (4.5, 5.5)
(x₁, y₁) (x₂, y₂)
d = √(x₂ - x₁)² + (y₂ - y₁)²
d = √(4.5 - 4.5)² + (5.5 - (-3.3)²
d = √(0)² + (5.5 + 3.3)²
d = √(8.8)²
d = √77.44
d = 8.8
6. ((5(1/2), (-7(1/2)) and ((5(1/2), (-1(1/2))
(x₁, y₁) (x₂, y₂)
d = √(x₂ - x₁)² + (y₂ - y₁)²
d = √(11/2) - (11/2)² + (-3/2) - (-15/2))²
d = √(d)² + ((-3/2) + (15/2)²
d = √(6)²
d = √36
d = 6
7. (-2(1/4)), -8) and (7(3/4), -8)
(x₁, y₁) (x₂, y₂)
d = √(x₂ - x₁)² + (y₂ - y₁)²
d = √(31/4) - (-9/4))² + (-8 - (-8))²
d = √(31/4) + (9/4))² + (-8 + 8)²
d = √(10)²
d = √100
d = 10
8. (5(1/4)), (-3(1/4) and ((5(1/4), (-6(1/4))
(x₁, y₁) (x₂, y₂)
d = √(x₂ - x₁)² + (y₂ - y₁)²
d = √(21/4) - (21/4))² + (-25/4) - (-13/4))²
d = √(-25/4) + (13/4))²
d = √(-3)²
d = √9
d = 3
9. (-1(1/2)), (-6(1/2) and ((-2(1/2), (-6(1/2))
(x₁, y₁) (x₂, y₂)
d = √(x₂ - x₁)² + (y₂ - y₁)²
d = √(-5/2) - (-3/2))² + (-13/2) - (-13/2))²
d = √(-5/2) + (3/2))²
d = √(-1)²
d = √1
d = 1
I hope this helps!