Question

What is the distance between (-5,6) and (4, 2)?

Answer 1

9.85 units

Explanation:

Let the distance between given points be d.

`\therefore \: d = \sqrt{ {( - 5 - 4)}^(2) + (6 - 2)^(2) } \\ \hspace{16 pt} = \sqrt{ {( - 9)}^(2) + (4)^(2) } \\ \hspace{16 pt} = \sqrt{ {81} + 16 } \\ \hspace{16 pt} = √(97 ) \\ \hspace{16 pt}= 9.8488578 \\ \red{ \bold{ \therefore \: d =9.85 \: units }}\\`