Solve 2x^2 + x − 4 = 0

x= −1 /4 + 1 /4 √33

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 = -( )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 = -( )

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  -( ) and passing through (6,1)

(y - ) = m (x - )

(y-1) = -( ) (x-6)

y= -( )x + -( )6 + 1

=> y = -( )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 = -( )x  - 1