Is the distance correct in these steps? If not where was the first mistake?
Step 1: d= √(-6 -5)^2 + [-8 - (-12)]^2
Step 2: d= √(-11)^2 + (4)^2
Step 3: d= √(-7)^2
Step 4: d= √49
Step 5: d= 7
No, the distance calculation in the given steps is not correct. The first mistake is in Step 1.
Step 1: d = √((-6 - (-5))^2 + (-8 - (-12))^2)
= √((-6 +5)^2 + (-8 +12)^2)
= √((-1)^2 + 4^2)
= √(1 + 16)
= √17
So, the correct distance is √17, not 7.