Answer:
Podrias agregar mas datos porfa
Step-by-step explanation:
Directrix y = 8
It is a horizontal line so the parabola is vertical.
<span>The focus (2, 4) lies below the directrix,
Therefore parabola opens downwards. </span>
<span>vertex will be halfway between focus and directrix, at (2, 6) </span>
<span>focal length =p
= distance between focus and vertex
= 2 </span>
<span>y = (-1/(4p))(x - 2)² + 6 </span>
<span>y = (-1/8)(x - 2)² + 6
hope this helps</span>
Answer:
B. 5 seconds
Step-by-step explanation:
A graphing calculator shows the answer easily.
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h(t) = 0 = -16t^2 +400
t = √(400/16) = 5
It will take 5 seconds for the sandbag to hit the ground.
Answer:
g(x) = 4x² -x +64
Step-by-step explanation:
The integral of f(x) will be continuous. This means the value must be the same for x = 4- as for x = 4+.
For some constant c1, the integral in the region x ≤ 4 is ...
∫f(x)dx = (4x² -x +c1) +C = g(x) +C
The integral in the region x ≥ 4 is given as ...
∫f(x)dx = 31x +C
Evaluated at x=4, we must get the same value from either expression:
4(4²) -4 +c1 +C = 31(4) +C
60 +c1 = 124
c1 = 64
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In order to make the integral continuous at x=4, we must have ...
g(x) = 4x² -x +64
