Answer:
y = (x - 10)^2 / 100 + 1
Step-by-step explanation:
given:
A suspension footbridge has two 2-meter vertical supports 20 meters apart so the cable connecting 'em will be a convex parabola
The lowest point of the cable, which is the vertex, 1 meter above the path.
y-axis represents the left support and the other vertical support is at x=20
by symmetry, the vertex is mid-pt between the two supports, @ x=20/2=10
so vertex is at (10,1)
vertex form of parabola is y = a(x - h)^2 + k, where (h, k) is the vertex
so y = a(x-10)^2 + 1
at y-axis, x=0, y=2
2 = a(0-10)^2 + 1
2 - 1 = 100a
a = 1/100
so the eqn is y = (x - 10)^2 / 100 + 1
Answer:
Initial value 4 rate of change is negative 3 over 4
Step-by-step explanation:
Formula to use: y2-y1 over x2-x1 initial value coordinate: 0,4 Crosses thru coordinate: 4,1 1 minus 4 and 4-0 gives you negative 3 over 4
Hi There!
<span>t < –5 and t may be a negative number!</span>
Answer:
$3.20, help this helps. lmk if it doesn't help
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