Answer:
D ) h₁,₂ =[ ( 9 ± √97 ) ]/8
Step-by-step explanation:
The equation of the football is
h = -16t² + 36t +4
What is the time for football to hit the ground
Hit the ground means h = 0 then
-16t² + 36t + 4 = 0
Simplifying by (-4)
4t² - 9t - 1 = 0 a second degree equation
Solving
h₁,₂ =[ ( 9 ± √(81 + 16) ] /8 ⇒ h₁,₂ =[ ( 9 ± √97 ) ]/8
The answer given in D
You can do substitution 2x-2=x^2 -x -6; isolate all terms on one side 0= x^2 -x-2x -6+2; combine like terms x^2 -3x -4=0; factor the quadratic (x-4)(x+1)=0; each term is zero x-4=0 so x=4 and x+1=0 so x=-1. Now, y=2•4-2=6 and y=2•(-1) -2= -4 ; solutions for the system are ( 4,6) and ( -1, -4)
Answer:
X=16.5
Step-by-step explanation: