Question

What is the distance between (6, 4) and (8, -5)?

Answer 1

9.21 units

Explanation:

Let d be the distance between given points.

`\therefore \: d = \sqrt{ {(6 - 8)}^(2) + { \{4 - ( - 5) \}}^(2) } \\ \hspace{16 pt}= \sqrt{ {( - 2)}^(2) + { \{4 + 5 \}}^(2) } \\\hspace{16 pt} = \sqrt{ {( - 2)}^(2) + { \{9 \}}^(2) } \\ \hspace{16 pt}= √( 4 + 81) \\\hspace{16 pt} = √( 85) \\ \hspace{16 pt}= 9.21954446 \\ \: \: \: \: \: \purple{ \bold{d = 9.21 \: units }}\\ \\`