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Question:

Find the distance between point A (1,3) and B (7,11)

Show the solution po sa baba.




Sagot :

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[tex]\large \mathbb{FORMULA:}[/tex]

  • Use the Distance formula:[tex]\sf \: {D = \sqrt{(x_2-x_1)²+(y_2-y_1)²}}[/tex]

[tex] = = = = = = = = ======= = = = = = = = = = = = = = = = [/tex]

[tex] \large \mathbb{GIVEN:}[/tex]

  • [tex] \sf \: x_1 = 1[/tex]
  • [tex] \sf \: x_2= 7[/tex]
  • [tex] \sf \: y_1= 3[/tex]
  • [tex] \sf \: y_2= 11[/tex]

[tex] = = = = = = = = ======= = = = = = = = = = = = = = = = [/tex]

Add the value.

[tex]\sf {D = \sqrt{(x_2-x_1)²+(y_2-y_1)²}}[/tex]

[tex] = = = = = = = = ======= = = = = = = = = = = = = = = = [/tex]

[tex] \large \mathbb{SOLUTION:}[/tex]

[tex]\rm{D = \sqrt{(7-1)²+(11-3)²}} \\ \rm{D = \sqrt{(6)²+(8)²}} \\ \rm{D = \sqrt{36+64}} \\ \rm{D = \sqrt{100}} \\ \rm{D = 100}[/tex]

[tex] = = = = = = = = ======= = = = = = = = = = = = = = = = [/tex]

[tex] \large \mathbb{ANSWER:}[/tex]

  • Therefore , the distance between point A and point B is 10

[tex] = = = = = = = ======== = = = = = = = = = = = = = = = [/tex]

#CarryOnLearning

(ノ^_^)ノ

[tex] \red{ \rule{999pt}{100000pt}}[/tex]

[tex] \red{ \rule{999pt}{100000pt}}[/tex]

[tex] \red{ \rule{999pt}{100000pt}}[/tex]

[tex] \red{ \rule{999pt}{100000pt}}[/tex]

[tex] \red{ \rule{999pt}{100000pt}}[/tex]