Question

Find the distance between each pair of points. Round your answer to the nearest tenth, if necessary.

Answer 1

Answer: kindly check explanation

Step-by-step explanation:

Find the distance between the following points :

1) (2, -3), (-2,-8)

2) (-4,-4). (5.-6)

3) (6, -1). (0,5)

4) (-1,-7). (-3,7)

Distance (d) between two points = ;

d = sqrt[(x2 - x1)² + (y2 - y1)²]

1.(2, -3), (-2,-8)

d =sqrt[(-2 - 2)² + (-8 - - 3)²]

d = sqrt[(-4)² + (-5)²]

d = sqrt[16 + 25]

d = sqrt(41)

d = 6.4

2) (-4,-4). (5.-6)

d =sqrt[(5 - - 4)² + (-6 - - 4)²]

d = sqrt[(9)² + (-2)²]

d = sqrt[81 + 4]

d = sqrt(85)

d = 9.2

3) (6, -1), (0,5)

d =sqrt[(0 - 6)² + (5 - - 1)²]

d = sqrt[(-6)² + (6)²]

d = sqrt[36 + 36]

d = sqrt(72)

d = 8.48

= 8.5

4) (-1,-7). (-3,7)

d =sqrt[(-3 - - 1 )² + (7 - - 7)²]

d = sqrt[(-2)² + (14)²]

d = sqrt[4 + 196]

d = sqrt(200)

d = 14.1