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find the slope and the y intercept of the line - geometry, 1. Find the slo...

1. Find the slope and the y-intercept of the line whose equation is 5x + 6y = 7. 2. Find the equation of the line that is parallel to 2x + 5y = 7 and passes through the mid poin

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Example for introducing counting, Four-year-old Mariamma was reciting numbe...

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Show that the ratio of the volume of the sphere, A sphere and a cube have e...

A sphere and a cube have equal surface areas. Show that the ratio of the volume of the sphere to that of the cube is √6 : √π. Ans:    S.A. of sphere = S.A of cube    4π r 2

common divisors greater than one, Let R be the relation on Z + defined by...

Let R be the relation on Z + defined by aRb iff gcd(a; b) = 1 (that is, a and b have no common divisors greater than one). Explain whether R is reflexive, irreflexive, symmetri

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2(sin 6+cos6) - 3(sin4+cos4)+1 = 0, 2(sin 6 ?+cos 6 ?) - 3(sin 4 ?+cos 4 ?...

2(sin 6 ?+cos 6 ?) - 3(sin 4 ?+cos 4 ?)+1 = 0 Ans:    (Sin 2 ?)3  + (Cos 2 ?)3-3 (Sin 4 ?+(Cos 4 ?)+1=0 Consider (Sin 2 ?)3  +(Cos 2 ?)3 ⇒(Sin 2 ?+Cos 2 ?)3-3 Sin 2 ?Co

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