Question

2. What is the distance between the points F(-3,8) and G(4,5)? Show your work.​

Answer 1

√58 units

Explanation:

`\rm{Let \: F( - 3 \:, 8) \longrightarrow \: (x1 \:, y1)}`

`\rm{G(4 \: 5) \longrightarrow \: (x2 \: ,y2)}`

`\underline{ \text{ \: Finding \: the \: distance} }:`

`\boxed{ \rm{distance = \sqrt{ {(x1- x2)}^(2) + {(y1 - y2)}^(2) } }}`

⇢√ ( - 3 - 4 )² + ( 8 - 5 )²

⇢√( -7 )² + ( 3 )²

⇢ √ 49 + 9

⇢ √58 units

Hope I helped!

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~TheAnimeGirl