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.
Absolute value functions are v-shaped. I hthink the turning point you're referring to is the vertex. This is where the inside of the absolute value is zero.
f(x) = |x+2|
0 = x+2
-2 = x
vertex (-2,0)
Step 1: Find a number you can multiply by the bottom of the fraction to make it 10, or 100, or 1000, or any 1 followed by 0s.
Step 2: Multiply both top and bottom by that number.
Step 3. Then write down just the top number, putting the decimal point in the correct spot (one space from the right hand side for every zero in the bottom number)
(Lets hope i'm right :p)
The first thing you do is make "34%" into a fraction. That would be 1/34.
After, you would multiply.
1/4 x 60000000/1 = ?
(Use cross multiply if you know)
60000000 divided by 4 = 15000000
1/1 x 15000000/1 = 15000000/1 OR 15000000
Answer: 15000000/1 or 15000000
<em>Tell me if i'm wrong so I can prevent this in the future! Have a lovely day!</em>
~Pooch ♥
