Respuesta :
6) Equation that relates the number of hours and shirts is n = 20 h + 83.
7) The equation of line containing the leg is y = -( [tex]\frac{1}{3}[/tex])x -1
Step-by-step explanation:
Step 1 :
6)
Total number of shirts collected by midnight = 83
Number of shirts collected every hour = 20
Let h be number of hours after midnight and n be number of shirts collected
So the number of shirts collected for every hour h = 20h
Since 83 shirts are collected before midnight, the linear equation in slope intercept form to represent this would be
n = 20 h + 83.
Step 2 :
7)
Equation for the base of the triangle = y =3x +4
Slope of this line = 3
Slope of line perpendicular to this line = -( [tex]\frac{1}{3}[/tex])
The endpoint of the leg perpendicular to the base is (6,1)
Hence the equation of this line is equation of line having slope as -( [tex]\frac{1}{3}[/tex]) and passing through (6,1)
(y - [tex]y_{1}[/tex]) = m (x - [tex]x_{1}[/tex])
(y-1) = -( [tex]\frac{1}{3}[/tex]) (x-6)
y= -( [tex]\frac{1}{3}[/tex])x + -( [tex]\frac{1}{3}[/tex])6 + 1
=> y = -( [tex]\frac{1}{3}[/tex])x -1
Step 4 :
Answer :
6) Equation that relates the number of hours and shirts is n = 20 h + 83.
7) Equation of line containing leg is y = -( [tex]\frac{1}{3}[/tex])x - 1
