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Asked: 2 years agoIn: Algebraic Expression

Factorizing the given expression: x/y + y/x = 4, find x/y – y/x

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In this factorization, formula used: (x – 2y)2 = x2 – 4xy + y2 Explanation Let’s solve the given equation first: To simplify this equation: [cross multiply]Now, let’s rearrange the terms: Factor the quadratic expression: ...

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Asked: 2 years agoIn: Algebraic Expression

Factorizing the given expression: 49(3x + 2y – z)2 – 36(2x – 3y + 4z)2

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In this factorization, formula used: a2 – b2 = (a + b) (a – b) Explanation 49(3x + 2y – z)2 – 36(2x – 3y + 4z)2 {(7) (3x + 2y – z)}2 – {(6) (2x – ...

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Asked: 2 years agoIn: Fraction

Find the least positive integer which when multiplies 9/50 makes it a perfect square.

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a) 10 b) 8 c) 4 d) 2 correct answer is : d) 2 Explanation Here, we have If we do the prime factorization of numerator and denominator, we get : since, the ...

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Asked: 2 years agoIn: Fraction

The product of two numbers is 10/20 and their quotient is 24/35. Find the numbers.

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a) 4/7 and 5/6 b) 7/4 and 6/5 c) 4/7 and 6/5 d) 7/4 and 5/6 correct answer is : a) and Explanation Let, one number is And, another number is Here, ...

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Asked: 2 years agoIn: Speed, Time & Distance

Two friends start at the same time towards each other by cycles from two places 72 km apart. If their speeds be 10 km/hour and 8 km/hour respectively, then when and where will they meet?

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a) 30 km and 42 km, after 6 hours b) 27 km and 45 km, after 3 hours c) 40 km and 32 km, after 4 hours d) 52 km and 20 km, after 4 hours correct ...

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Asked: 2 years agoIn: Speed, Time & Distance

A train crosses two bridges of lengths 210 meters and 122 meters in 25 seconds and 17 seconds respectively. Find the length and speed of the train.

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a) 65 meters, 11 m/s. b) 45 meters, 19 m/s. c) 50 meters, 20 m/s. d) 55 meters, 11 m/s. correct answer is : a) 65 meters, 11 m/s. Explanation Lets the length of the train is ...

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Science Sparkle
Asked: 2 years agoIn: Speed, Time & Distance

A train crosses a telegraph post in 8 seconds and a bridge 264 meters long in 20 seconds. Find the length and speed of the train.

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a)170 meters, 30 m/sec b) 173 meters, 26 m/sec c) 176 meters, 22 m/sec d) 180 meters, 20 m/sec correct answer is : c) 176 meters, 22 m/sec Explanation Let the length of the train is And ...

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