meredith48034
meredith48034 meredith48034
  • 04-01-2020
  • Mathematics
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The height of a curved support can be modeled by

f(x) = x^2/256 + 16

Find the width of the beam​

The height of a curved support can be modeled byfx x2256 16Find the width of the beam class=

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MathPhys
MathPhys MathPhys
  • 04-01-2020

Answer:

128

Step-by-step explanation:

I assume there's a negative sign missing, since the image is a downwards parabola.

f(x) = -x²/256 + 16

The width of the beam is the distance between the x-intercepts.

0 = -x²/256 + 16

x²/256 = 16

x² = 4096

x = ±64

So the width is:

64 − (-64) = 128

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