Answer:
1. 10√49 or 70km
2. 10√17 or 41.23km
3. 10√6 or 24.49km
4. 50km
5. 30km
Step-by-step explanation:
grade 10 student here
1.(-5,5) and (2, 5)
d =√(x2 - x1)^2 + (y2 - y1)^2
d =√(2 - (-5))^2 + (5 - 5)^2
d =√(7)^2 + (0)^2
d =√49 = 7
d = (7)(10) = 70km/(√49)(10) = 10√49
2.(2,-1) and (-2,-2)
d =√(x2 - x1)^2 + (y2 - y1)^2
d =√(-2 - 2)^2 + (-2 - (-1))^2
d =√(-4)^2 + (-1)^2
d =√16 + 1
d = √17 = 4.12
d = (4.12)(10) = 41.23km/(√17)(10) = 10√17
3.(2,-1) and (2,5)
d =√(x2 - x1)^2 + (y2 - y1)^2
d =√(2 - 2)^2 + (5 - (-1))^2
d =√(0)^2 + (6)^2
d =√6 = 2.45
d = (2.45)(10) = 24.49km/(√6)(10) = 10√6
4.(-2,-2) and (1,2)
d =√(x2 - x1)^2 + (y2 - y1)^2
d =√(1 - (-2))^2 + (2 - (-2))^2
d =√(3)^2 + (4)^2
d =√9 + 16
d =√25 = 5
d = (5)(10) = 50km
5.(-2,-2) and (-2,1)
d =√(x2 - x1)^2 + (y2 - y1)^2
d =√(-2 - (-2))^2 + (1 - (-2))^2
d =√(0)^2 + (1 - (3)^2
d =√9 = 3
d = (3)(10) = 30km
