haleyymichellep6817y
haleyymichellep6817y haleyymichellep6817y
  • 11-06-2020
  • Mathematics
contestada

these lines are perpendicular. is the statement true or false? y=-5/2x+4 and y=5/2x-3

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tramserran
tramserran tramserran
  • 11-06-2020

Answer: False

Step-by-step explanation:

In order for lines to be perpendicular, their slopes must be opposite reciprocals.

[tex]y=-\dfrac{5}{2}x+4\qquad \rightarrow \quad m=-\dfrac{5}{2}\\\\\\y=\dfrac{5}{2}x-3\qquad \rightarrow \quad m=\dfrac{5}{2}[/tex]

Their slopes are opposites (opposite signs). [tex]\checkmark[/tex]

Their slopes are NOT reciprocals (fractions flipped) [tex]X[/tex]

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