Step-by-step explanation:
I assume that "ground" is at 0 ft height. which is in an actual scenario not airways the case.
y = -16x² + 64x + 89
shows us that the tower is 89 ft tall (the result for x = 0, at the start).
anyway, if the original assumption is correct, then we need to solve
0 = -16x² + 64x + 89
the general solution for such a quadratic equation is
x = (-b ± sqrt(b² - 4ac))/)2a)
in our case
a = -16
b = 64
c = 89
x = (-64 ± sqrt(64² - 4×-16×89))/(2×-16) =
= (-64 ± sqrt(4096 + 5696))/-32 =
= (-64 ± sqrt(9792))/-32
x1 = (-64 + 98.95453501...)/-32 = -1.092329219... s
x2 = (-64 - 98.95453501...)/-32 = 5.092329219... s
the negative solution for time is but useful here (it would be the time calculated back to ground at the start).
so, x2 is our solution.
the rocket hits the ground after about 5.09 seconds.
Answer:
25
Step-by-step explanation:
-5^2 expanded is -5 x -5
- two negatives equal a positive
-visual representation of 5 x 5
O O O O O
O O O O O
O O O O O
O O O O O
O O O O O
Answer:
9 laps.
Step-by-step explanation:
-Let x be the number of laps Taylor runs.
-Given that the ratio of Kyle to Taylor laps is 2:3, we express the actual laps in meters to solve for x as follows:
Hence, Taylor runs 9 laps.
Answer:
x ≥ - 1
Step-by-step explanation:
the solid circle above - 1 on the number line indicates that x can equal - 1
the arrow points right indicating x is greater than or equal to - 1 , that is
x ≥ - 1
