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)

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 .

all of them are elements inside set of real numbers since none of them appears to have complex number form.

hope this .

r3t40