Question

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

Answer 1

Answer:

approximately 42.05

Step-by-step 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 $\sqrt{(3-21)^{2} +(8-(-30))^{2 }} = \sqrt{18^{2}+38^{2}}=sqrt{1769}= 42.05 (approximately)$