Find the distance between each pair of points in the coordinate plane. 1. (0, 0) and (0, 3) 2. (0, 0) and (4, 0) 3. (0,

Question

Find the distance between each pair of points in the coordinate plane.
1. (0, 0) and (0, 3)
2. (0, 0) and (4, 0)
3. (0, 0) and (4, 3)
4. (0, 0) and (8, 6)

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Gerda 1 month 2021-08-12T08:22:30+00:00 1 Answers 0 views 0

Answers ( )

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    2021-08-12T08:24:02+00:00

    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 .

    ====================================

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

    ⇒ Distance = √ [ (4-0)²+(0-0)² ]

    ⇒ Distance = √ [ 4² ]

    ⇒ Distance = 4 units .

    ====================================

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

    ⇒ Distance = √ [ (3-0)²+(4-0)² ]

    ⇒ Distance = √ [ 3²+ 4² ]

    ⇒ Distance = √ 9 + 16

    ⇒ Distance = √25

    ⇒ Distance = 5 units .

    ====================================

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

    ⇒ Distance = √ [ (8-0)²+(6-0)² ]

    ⇒ Distance = √ [ 8²+ 6² ]

    ⇒ Distance = √ 64 + 36

    ⇒ Distance = √100

    ⇒ Distance = 10 units .

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