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Anna is to create a garden plot to grow lettuce (area A) for her turtles, as well as flowers (area B). She draws the garden land in a coordinate system where 1a.e= 1m². She immediately sees that the shape corresponds to the area under the curve y=9 - x^2. Anna wants the area for the flowers to be twice as large as the area for the salad. Hampus says that if she draws a line at y= 5, surface B will be twice as large = as surface A, Anna is more doubtful. Determine if Hampus is right by calculating the areas A and B. A B 11 ₂

Anna is to create a garden plot to grow lettuce (area A) for her turtles, as well as flowers (area B). She draws the garden land in a coordinate system where 1a.e= 1m². She immediately sees that the shape corresponds to the area under the curve y=9 - x^2. Anna wants the area for the flowers to be twice as large as the area for the salad. Hampus says that if she draws a line at y= 5, surface B will be twice as large = as surface A, Anna is more doubtful. Determine if Hampus is right by calculating the areas A and B. A B 11 ₂

Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter12: Quadratic Functions
Section12.8: Joint And Combined Variation
Problem 1ST
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Anna is to create a garden plot to grow lettuce (area A) for her turtles, as well as flowers (area B). She draws the garden land in a coordinate system where 1a.e= 1m². She immediately sees that the shape corresponds to the area under the curve y=9 - x^2. Anna wants the area for the flowers to be twice as large as the area for the salad. Hampus says that if she draws a line at y= 5, surface B will be twice as large = as surface A, Anna is more doubtful. Determine if Hampus is right by calculating the areas A and B. A B
Transcribed Image Text:Anna is to create a garden plot to grow lettuce (area A) for her turtles, as well as flowers (area B). She draws the garden land in a coordinate system where 1a.e= 1m². She immediately sees that the shape corresponds to the area under the curve y=9 - x^2. Anna wants the area for the flowers to be twice as large as the area for the salad. Hampus says that if she draws a line at y= 5, surface B will be twice as large = as surface A, Anna is more doubtful. Determine if Hampus is right by calculating the areas A and B. A B
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