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Ankita decided to cook soup for the patients on her birthday. the soup bowls are cuboidal in shape, length and breadth of the bowl are given by (x 2) and (x-3) and volume is given by 2x ax-bx 8 .(i) find the values of a&b? (ii) what value is depicted by Ankita?
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Ankita decided to cook soup for the patients on her birthday. the soup...
To find the value of a, we need to use the given information about the volume of the soup bowls.
The volume of a cuboidal shape is given by length x breadth x height.
Given that the length of the bowl is (x+2), the breadth is (x-3), and the volume is 2x^2 - ax - bx + 8, we can set up the equation:
(x+2)(x-3)h = 2x^2 - ax - bx + 8
Simplifying the equation, we get:
(x^2 - x - 6)h = 2x^2 - ax - bx + 8
Expanding the left side, we get:
x^2h - xh - 6h = 2x^2 - ax - bx + 8
Rearranging the equation, we get:
x^2h - 2x^2 + (x-a)h + (6-b)h - 8 = 0
Since this equation should hold true for all values of x, the coefficients of the different powers of x should be equal to zero.
Therefore, we have:
h = 2
x - a = 0 => x = a
6 - b = 0 => b = 6
So, the values of a is 6.
The volume of a cuboidal shape is given by length x breadth x height.
Given that the length of the bowl is (x+2), the breadth is (x-3), and the volume is 2x^2 - ax - bx + 8, we can set up the equation:
(x+2)(x-3)h = 2x^2 - ax - bx + 8
Simplifying the equation, we get:
(x^2 - x - 6)h = 2x^2 - ax - bx + 8
Expanding the left side, we get:
x^2h - xh - 6h = 2x^2 - ax - bx + 8
Rearranging the equation, we get:
x^2h - 2x^2 + (x-a)h + (6-b)h - 8 = 0
Since this equation should hold true for all values of x, the coefficients of the different powers of x should be equal to zero.
Therefore, we have:
h = 2
x - a = 0 => x = a
6 - b = 0 => b = 6
So, the values of a is 6.
Community Answer
Ankita decided to cook soup for the patients on her birthday. the soup...
3x-2x*2
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Ankita decided to cook soup for the patients on her birthday. the soup bowls are cuboidal in shape, length and breadth of the bowl are given by (x 2) and (x-3) and volume is given by 2x ax-bx 8 .(i) find the values of a&b? (ii) what value is depicted by Ankita?
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Ankita decided to cook soup for the patients on her birthday. the soup bowls are cuboidal in shape, length and breadth of the bowl are given by (x 2) and (x-3) and volume is given by 2x ax-bx 8 .(i) find the values of a&b? (ii) what value is depicted by Ankita? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about Ankita decided to cook soup for the patients on her birthday. the soup bowls are cuboidal in shape, length and breadth of the bowl are given by (x 2) and (x-3) and volume is given by 2x ax-bx 8 .(i) find the values of a&b? (ii) what value is depicted by Ankita? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Ankita decided to cook soup for the patients on her birthday. the soup bowls are cuboidal in shape, length and breadth of the bowl are given by (x 2) and (x-3) and volume is given by 2x ax-bx 8 .(i) find the values of a&b? (ii) what value is depicted by Ankita?.
Ankita decided to cook soup for the patients on her birthday. the soup bowls are cuboidal in shape, length and breadth of the bowl are given by (x 2) and (x-3) and volume is given by 2x ax-bx 8 .(i) find the values of a&b? (ii) what value is depicted by Ankita? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about Ankita decided to cook soup for the patients on her birthday. the soup bowls are cuboidal in shape, length and breadth of the bowl are given by (x 2) and (x-3) and volume is given by 2x ax-bx 8 .(i) find the values of a&b? (ii) what value is depicted by Ankita? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Ankita decided to cook soup for the patients on her birthday. the soup bowls are cuboidal in shape, length and breadth of the bowl are given by (x 2) and (x-3) and volume is given by 2x ax-bx 8 .(i) find the values of a&b? (ii) what value is depicted by Ankita?.
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