Answer:
Vertex: (-1/2, -25/4)
Focus: (-1/2, -6)
Axis of Symmetry: x=-1/2
Directrix: y=-13/2
Step-by-step explanation:
x = -2, -1, -1/2, 1, 2
y = -4, -6, -25/4, -4, 0
Answer:
I think -10 is the answer
Okay lets create an eqn from that information
A first int, B second int, C third int, D fourth int.
B = A + 2
C = A + 4
D = A + 6
A is the smallest integer
B + D = 0.5 (A + C)
Now lets substitute
(A + 2) + (A + 6) = 0.5(A + (A + 4))
now lets dist
2a + 8 = 0.5(2a +4)
2a + 8 = a + 2
a + 8 = 2
a = -6
B = -6 +2
B = -4
C = -6 + 4
C = -2
D = -6 + 6
D = 0
Now using B + D = 0.5(A + C)
-4 + 0 = 0.5(-6 + (-2))
-4 = 0.5 (-8)
-4 = -4
Correct
Therefore, First integer is -6, second integer is -4, third integer is -2 and fourth integer is 0
To build the table you just have to give values to t and then calculate the corresponding c a per the model.
If the model is c = 5.5 t this is the table
t c
5.5 t
0 5.5(0) = 0
1 5.5(1) = 5.5
2 5.5(2) = 11.0
3 5.5(3) = 16.5
4 5.5(4) = 22.0
5 5.5(5) = 27.5
The viables solutions are all where t is equal or greater than 0. You can even use decimal values for t. You cannot use negative values for t.
C. 3/5
Explaining why it is:
