2. Kat is standing on a rock cliff that is 52 feet high. She tosses a pebble upward over the edge, where it hits the top of a 12-ft high boulder. The quadratic equation that models the pebbles
path is below P(t). How long did it take for the pebble to hit the top of the boulder?
(4 Points)
P (1) = -1612 + 12+ + 52

system of linear equation

step-by-step explanation:

as given in the data

a= 20 , b= -12

let us suppose that it is a straight line equation

now we know the formula for the system of linear equation

b= ma + c )

here m is slope of a straight line which is equal to formula

m=   (ii)

and here c is a constant

now putting the value of a and b in equation (ii)

m=

m=

putting the value of a,b and m in equation (i) gives us

-12 = + c

-12=-12 + c

adding 12 to both sides

-12 +12 = -12 +12 +c

0 =c

or c=0

as the value of the constant is zero which gives us that it is a linear equation and this order pair satisfies the system of linear equations.