The <em><u>correct answer</u></em> is:
Explanation:
The Quadratic Formula is
,
where a, b and c are the coefficients of a quadratic equation written in standard form, or 0=ax²+bx+c.
This means that first, we need to make our equation equal 0.
We have
-2 = -x + x² - 4
To make this equal 0, we must cancel the -2. We do this by adding 2:
-2+2 = -x + x² - 4 + 2
0 = -x + x² - 2
Now we write this in standard form. This means the x² term must come first, then the x term, then the constant:
0 = x²-x-2
This makes a = 1, b = -1 and c = -2. We then plug this into the quadratic formula.
Y(initial) = 9
V(initial) = 168
V(final) = 0
g(accel-grav) = 32 (in feet per second
squared)
Use the following equation:
V(final) = V(initial) + a(t)
Since this object is moving straight up and
down, a = -32
Enter the knowns into the equation
0 = 168 - 32t
32t = 168
t = 168/9.8
t = 5.25
Now that you know the time it takes to
reach it's maximum, use the general
kinematics equation to solve for final
distance:
y(final) = y(initial) + V(initial)(t) + (1/2)a
(t²)
y(final) = 9 + 168(5.25) + (1/2)(-32)
(5.25²)
= 9 + 882 - 441
= 450 feet
Answer:
yes, correct
Step-by-step explanation:
6c - 48 = 6*c - 6 *8
= 6* (c-8)
The general equation for a circle with center (a,b) and squared radius k is
Here we have
and the constant is fixed by substituting in the point we know (x,y)=(3,-5)
Answer:
