What is the distance between the origin and the midpoint of (1, 2) and (-3, 6)?

Alberto Calhoun

Alberto Calhoun

Answered question

2022-11-11

What is the distance between the origin and the midpoint of ( 1 , 2 ) and ( - 3 , 6 ) ?

Answer & Explanation

meexeniexia17h

meexeniexia17h

Beginner2022-11-12Added 18 answers

Step 1
First, we use this formula to find the midpoint of these two points:
M = ( x 1 + x 2 2 , y 1 + y 2 2 )
Where M is the midpoint and the given points are:
x 1 y 1 and x 2 y 2
Substituting the values from the points in the problem gives:
M = ( 1 + - 3 2 , 2 + 6 2 ) = ( - 2 2 , 8 2 ) = ( - 1 , 4 )
Next, we can use the distance formula to find the distance between the origin, which is (0, 0) and (-1, 4). The formula for calculating the distance between two points is:
d = ( x 2 - x 1 ) 2 + ( y 2 - y 1 ) 2
Substituting the values from the points in the problem gives:
d = ( - 1 - 0 ) 2 + ( 4 - 0 ) 2 = ( - 1 ) 2 + 4 2 = 1 + 16 =
17 or 4.123 rounded to the nearest thousandth.

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