Find the equation of the straight line passing through the point (0, -1) which is perpendicular to the line y=-3/4 x-3

y = x - 1

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - x - 3 ← is in slope- intercept form

with slope m = -

Give the slope of a line m then the slope of a line perpendicular to it is

= - = - =

The line crosses the y- axis at (0, - 1 ) ⇒ c = - 1

y = x - 1 ← equation of perpendicular line

42

step-by-step explanation:

solution:

the given function is ,

      =

the three roots of this quadratic function is , 0 ,8 and 10.all the roots are real and rational.

if a quadratic equation is of the form ,

sum of the roots = a + b +c= 0+8+10=18=  

product of roots taken two at a time = a b + b c+ c a = 0+80+0=80 =  

product of roots = a b c = 0=  

there are 11 doors in a hall starting from 0 to 11.the entry in the hall is permitted through gate number 0 and exit is allowed through only gate number 8 and 10.so, three roots(0,8,10) of quadratic function is given by entry and exit route of this hall.