Question

Find the distance between each pair of points in the coordinate plane.

Answer 1

Answer:

1) 3 units

2)4 units

3) 5 units

4)10 units

Step-by-step explanation:

We can use the Distance Formula to find the distance between the two points given to us. The Distance Formula is for points (x1 , y1) & (x2 , y2) is

★ Distance = √[ (x2 - x1)² + (y2 - y1)²]

1) (0,0) & (0,3)

⇒ Distance = √ [ (3-0)²+(0-0)² ]

⇒ Distance = √ [ 3² ]

⇒ Distance = 3 units .

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2) (0,0) & (4,0)

⇒ Distance = √ [ (4-0)²+(0-0)² ]

⇒ Distance = √ [ 4² ]

⇒ Distance = 4 units .

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3) (0,0) & (4,3)

⇒ Distance = √ [ (3-0)²+(4-0)² ]

⇒ Distance = √ [ 3²+ 4² ]

⇒ Distance = √ 9 + 16

⇒ Distance = √25

⇒ Distance = 5 units .

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4) (0,0) & (8,6)

⇒ Distance = √ [ (8-0)²+(6-0)² ]

⇒ Distance = √ [ 8²+ 6² ]

⇒ Distance = √ 64 + 36

⇒ Distance = √100

⇒ Distance = 10 units .