An arch is in the form of a semi-ellipse, with its major axis as the span. If the span is 80 feet and the height of the arch is 30 feet, write the standard equation for the semi-ellipse. x² + = 1 6400 900 1² + = 1 1600 900 2 X = 1 900 1600

Calculus: Early Transcendentals
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Author:James Stewart
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Chapter1: Functions And Models
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An arch is in the form of a semi-ellipse, with its major axis as the span. If the span is 80 feet and the
height of the arch is 30 feet, write the standard equation for the semi-ellipse.
2
x²
2
+
1
6400 900
x²
2²
+
1600 900
x²
2
+
900 1600
=
=
=
1
1
Transcribed Image Text:An arch is in the form of a semi-ellipse, with its major axis as the span. If the span is 80 feet and the height of the arch is 30 feet, write the standard equation for the semi-ellipse. 2 x² 2 + 1 6400 900 x² 2² + 1600 900 x² 2 + 900 1600 = = = 1 1
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