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

Intermediate Algebra
19th Edition
ISBN:9780998625720
Author:Lynn Marecek
Publisher:Lynn Marecek
Chapter11: Conics
Section11.2: Parabolas
Problem 11.25TI: (a) Write y=2x2+4x+5 in standard form and (b) use properties of standard form to graph the equation.
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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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