timothydoyle
timothydoyle timothydoyle
  • 22-09-2021
  • Mathematics
contestada

Find the distance between V(4,4) and X(5,8).
Round to the nearest tenth, if necessary.

Respuesta :

stephenonley
stephenonley stephenonley
  • 23-09-2021

Answer:

[tex](x_{2} - x_{1})^{2} + (y_{2} - y_{1})^{2} = c^{2}[/tex]

[tex]V(x_{1}, y_{1}) = V(4, 4)\\X(x_{2}, y_{2}) = V(5, 8)\\[/tex]

[tex](5-4)^{2} + (8-4)^{2} = c^{2}\\1^{2} + 4^{2} = c^{2}\\[/tex]

[tex]1+16=c^{2}\\17= c^{2}\\c = \sqrt{17}[/tex]

Step-by-step explanation:

Start by plotting your points.

If the line is diagonal, then realize you can make a triangle with the line connecting the two points being the hypotenuse.

Use Pythagorean Theroem to solve.

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