Answer: -9 = a(1 - 3)² + 3
Step-by-step explanation:
Vertex Form Equation:
y = a(x - h)² + k
vertex: (h, k) which means
h = 3
k = 3
because your vertex is (3, 3).
Your point is (1, -9) which is (x, y).
This means
x = 1
y = -9
Now, plug everything into your Vertex Form Equation:
-9 = a(1 - 3)² + 3
That’s your equation and final answer, but of course, if you need to, you can solve for a if you need to.
If a is positive, the parabola opens up. If a is negative, the parabola opens down.
Hope this helps!
1/6+3/8=13/24 (13/24 is the simplest form in this case)
We know from physics class that the formula for distance of
a linear motion is given as:
d = v t
Where,
d = distance travelled
v = average velocity
t = time it took to reach the destination
Since the distance going to the office and back is just
similar, therefore we can simply equate the two:
v1 t1 = v2 t2
Where 1 signifies going to the office and 2 signifies going
back from the office. Therefore this yields to:
v1 * 5 hours = 65 mph * 4 hours
v1 = 52 mph
<span>Answer: The average
speed going to the office is 52 mph.</span>