Question

What is the distance between the points (21,-30) and (3,8)

Answer 1

approximately 42.05

Explanation:

We know that the distance formula is
`\sqrt{(x_(2)-x_(1))^(2) +(y_(2)-y_(1))^(2) }`, so if we use (3,8) as point 2 and (21, -30) as point 1 (note that these are interchangeable), we know that

x₂=3

y₂=8

x₁=21

y₁=-30

Then, we can plug it into the formula to get
`\sqrt{(3-21)^(2) +(8-(-30))^(2 )} = \sqrt{18^(2)+38^(2)}=sqrt{1769}= 42.05 (approximately)`