razielaurora razielaurora
  • 16-07-2017
  • Mathematics
contestada

The distance between points (3, 7) and (x1, y1) is the square root of (x1 - 3)2 + (y1 - 7)2. True or false?

Respuesta :

jbos1997
jbos1997 jbos1997
  • 16-07-2017
The answer is True because the distance formula is √(x2-x1)²+(y2-y1)²

TRUE
Answer Link
slicergiza slicergiza
  • 15-07-2019

Answer:

True

Step-by-step explanation:

By the distance formula,

The distance between two points [tex](a_1, b_1)[/tex] and [tex](a_2, b_2)[/tex] is,

[tex]d=\sqrt{(a_2-a_1)^2+(b_2-b_1)^2}[/tex]

Here, [tex]a_1=3[/tex], [tex]b_1=7[/tex], [tex]a_2=x_1[/tex] and [tex]b_2=y_1[/tex]

Thus, the distance would be,

[tex]d=\sqrt{(x_1-3)^2+(y_1-7)^2}[/tex]

= the square root of [tex](x_1 - 3)^2 + (y_1 - 7)^2[/tex]

Answer Link

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