Answer:
6.5 inches = width
length = 10.5 inches
Step-by-step explanation:
let width = w, then:-
2w + 2(w + 4) = 34
4w = 34 - 8 = 26
w = 26/4 = 6.5 inches
We use the fact that y = kx, where k is the constant of proportionality.
9 = 5k
9/5 = k
Now that we know k, we can find x when y = -1.
-1 = x(9/5)
-1/(9/5) = x
-5/9 = x
Did you follow?
Vertex = (6, 5)
axis of symmetry is line x = 6
A third point in the parabola is (12, 0)
equation using the vertex is y = -a(x - 6)^2 + 5 = -a(x^2 - 12x + 36) + 5 = -ax^2 + 12ax - 36a + 5
since the parabola passes through point (0, 0)
i.e. -36a + 5 = 0
a = 5/36 = 0.139
Therefore, the equation is y = -0.139x^2 + 12(0.139)x = -0.139x^2 + 1.667x
Answer: Choice B)
Exponentials undo logarithms, and vice versa. The base of the log and the exponential are the same in this problem.