Find the slope: given the points: (2, 3) and (5, 9)

2

Step-by-step explanation:

Slope (m) =  

ΔY

ΔX

=  

2

1

=2

θ =  

arctan(ΔY)

ΔX

=63.434948822922°

ΔX = 5 – 2 = 3

ΔY = 9 – 3 = 6

Distance (d) = √ΔX2 + ΔY2 = √45 = 6.7082039324994

Equation of the line:

y = 2x – 1

When x=0, y = -1

When y=0, x = 0.5

Sorry for the bad formatting

associative property hopes this ! : )

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.