Solve each equation by taking square roots. 1) r2= 96 2) x2= 7 3) x2= 29 4) r2= 78 5) b2= 34 6) x2= 0 7) a2+ 1 = 2 8) n2− 4 = 77 9) m2+ 7 = 6 10) x2− 1 = 80 11) 4x2− 6 = 74 12) 3m2+ 7 = 301 13) 7x2− 6 = 57 14) 10x2+ 9 = 499 15) (p − 4)2= 16 16) (2k − 1)2= 9 17) (6x + 2)2+ 4 = 28 18) 10(x − 7)2= 440 19) 9(2m − 3)2+ 8 = 449 20) 4(6x − 1)2− 5 = 223. A balance puzzle is a type of logic puzzle where the goal is to make all components equal, or balanced. For example, a scale is balanced when both sides have equal weight on them. It is important to determine the relationships between elements of a balance puzzle. For example, when trying to balance a scale, it is important to know the weight of the objects being added to each side. Knowing ... Jul 09, 2015 · How to do a 3×3 magic square math puzzle. Using the numbers 1-9, place numbers in the squares so that the sum of any three numbers in a horizontal, vertical or diagonal row equals 15. You may only use each number once. TIP: For younger kids, start out by placing a five in the center square. Notes from our experience:
Given the side length of the square: a² + a² = diagonal². diagonal = √ (a² + a²) = √ (2 * a²) which simplifies to. diagonal = a√2. If you don't have the side of a square given, use other formulas: d = √ (2*area) if area is given. d = (perimeter/4)*√2 knowing square perimeter.
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