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

Question

asked Apr 13, 2021 165k views

1 Answer

Chirayu · Answer 1 · 2021-04-20T16:33:32+0000

Answer

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

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