Answered

What is the distance between the points (3, 3) and (6, 7)?
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[tex]\Large\color{aqua}\underline\mathbb{DISTANCE}[/tex]

What is the distance between the points (3, 3) and (6, 7)?

[tex] \\ [/tex]

To find the distance, use the distance formula:

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

[tex]\\[/tex]

Let,

  • [tex]\sf{(x_1, y_1) = (3, 3)}[/tex]
  • [tex]\sf{(x_2, y_2) = (6, 7)}[/tex]

[tex] \\ [/tex]

[tex]\color{indigo}\underline\mathbb{SOLUTION:}[[/tex]

  • [tex]\sf{d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2 }}[/tex]
  • [tex]\sf{d = \sqrt{(6 - 3)^2 + (7 - 3)^2}}[/tex]
  • [tex]\sf{d = \sqrt{(3)^2 + (4)^2}}[/tex]
  • [tex]\sf{d = \sqrt{9 + 16}}[/tex]
  • [tex]\sf{d = \sqrt{25}}[/tex]
  • [tex]\sf{d = 5}[/tex]

[tex] \\ [/tex]

[tex]\color{blue}\underline\mathbb{ANSWER:}[/tex]

  • Therefore, the distance is 5.

[tex]\tt\large\color{lavender}{••••••••••••••••••••••••••••••••••••••••••}[/tex]

[tex]\tt\color{aqua}{ 11:58 \: am }[/tex]

[tex]\tt{3/4/22}[/tex]