Answer:
The last choice
Step-by-step explanation:
5^2 + 12^2 = 13^2
25 + 144 = 169
Answer:
(0.5, 9 )
Step-by-step explanation:
Using the midpoint formula
[ 0.5(x₁ + x₂ ), 0.5(y₁ + y₂ ) ]
with (x₁, y₁ ( = (3, 5) and (x₂, y₂ ) = ( - 2, 13 )
midpoint = [0.5(3 - 2), 0.5(5 + 13) ] = [0.5(1), 0.5(18) ] = (0.5, 9 )
H = -5t^2 +5t + 10
a) t = 0, h = 10 at time 0
b) h = (-5t + 10) ( t + 1)
c) put 0 in for the height and set each factor = to 0 and solve each
0 = (-5t + 10) and 0 = (t + 1)
solve each t = 2 and t = -1, so t = 2 sec is your solution
d) because a parabola is symmetric, the max will be half way between -1 and 2, at t = 1/2
h = -5(1/2)^2 +5(1/2) + 10
h = -5(1/4) + 5/2 +10
h = -5/4 + 5/2 + 10
h = -5/4 + 10/4 + 40/4
h = 45/4