# algebra

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A satellite dish has a parabolic cross section and is 6 ft deep. The focus is 4 ft from the vertex. Find the width of the satellite dish at the opening. Round your answer to the nearest foot.

Thank you

• algebra -

from y^2 = 4px
the parabola has equation:
y^2 = 16x

at its widest point, x = 6
y^2 = 16(36) = 576
y + ±24

so the width = 48 ft

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