Deandre, an engineering intern was asked by his fellow students to heip them determine the standard equation of the conics presented at the Inter-Collegiate Engineering Congress: (1) a circle which is concentric with other circle x? + y? - 4x- 6y - 3 = 0, and 4 times the area of the first, (2) an ellipse to be constructed at the back of the building with dimensions of 420 ft. x 290 ft. as shown in the figure below. (1) Find the standard equation of the larger circle and its radius. Hint: "Concentric circle" means having the same center. (2) Find the standard equation of the ellipse formed and its area. (Area of ellipse = n ab) (3) Where can'you observe and use these standard equations of conics based on a real-life situations?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.3: Hyperbolas
Problem 36E
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Deandre, an engineering intern was asked by his fellow students to heip them determine the standard equation
of the conics presented at the Inter-Collegiate Engineering Congress: (1) a circle which is concentric with other
circle x? + y? - 4x- 6y – 3 = 0, and 4 times the area of the first, (2) an ellipse to be constructed at the back of the
building with dimensions of 420 ft. x 290 ft, as shown in the figure below.
(1) Find the standard equation of the larger circle and its radius. Hint: "Concentric circle" means having the same
center.
(2) Find the standard equation of the ellipse formed and its area. (Area of ellipse = n ab)
(3) Where can'you observe and use these standard equations of conics based on a real-life situations?
Transcribed Image Text:Deandre, an engineering intern was asked by his fellow students to heip them determine the standard equation of the conics presented at the Inter-Collegiate Engineering Congress: (1) a circle which is concentric with other circle x? + y? - 4x- 6y – 3 = 0, and 4 times the area of the first, (2) an ellipse to be constructed at the back of the building with dimensions of 420 ft. x 290 ft, as shown in the figure below. (1) Find the standard equation of the larger circle and its radius. Hint: "Concentric circle" means having the same center. (2) Find the standard equation of the ellipse formed and its area. (Area of ellipse = n ab) (3) Where can'you observe and use these standard equations of conics based on a real-life situations?
(2)
290 N.
BUILDING
Figure
Transcribed Image Text:(2) 290 N. BUILDING Figure
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