Find the distance between points P(4,8) and Q(,7,1)to the nearest tenth

Question

I don't know what the answer is or how to figure the problem out. I need help trying to figure out how to do it and what the answer is.

Answer 1

You can use the distance formula to solve this problem:

d=Square Root [(x₂-x₁)² + (y₂-y₁)²]

 

Given: Points P(4,8) and Q(7,1).

 

Solution:

Let point P be point 1 and point Q be 2 as noted by the subscripts in the distance formula above.

 

Then: X₂=7, X₁=4 and Y₂=1 and Y₁=8. Substitute in to the distance formula:

 

d=Square Root[(7-4)² + (1-8)²] = Square Root [(3)² + (-7)²] = Square Root [9 + 49] = Square Root [58]

 

The Square of 58 = 7.6 which is rounded to nearest tenth.