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(3/4).x - (1/2) = (1/2).x + 1 → the common denominator is 4 (3/4).x - (2/4) = (2/4).x + (4/4) → you simplify by 4 3x - 2 = 2x + 4 → you subtract 2x both sides 3x - 2 - 2x = 2x + 4 - 2x → you simplify x - 2 = 4 → you add 2 both sides x…
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(3/4).x - (1/2) = (1/2).x + 1 → the common denominator is 4 (3/4).x - (2/4) = (2/4).x + (4/4) → you simplify by 4 3x - 2 = 2x + 4 → you subtract 2x both sides 3x - 2 - 2x = 2x + 4 - 2x → you simplify x - 2 = 4 → you add 2 both sides x…
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Recall about speed: s = d/t → where: d = distance t = time A family drove 1080 miles to a vacation lodge. s1 = d1/t1 s1 = 1080/t1 1080 = s1 * t1 One the way back home their average speed was 6 mph less and their trip took 2.…
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Recall about speed: s = d/t → where: d = distance t = time A family drove 1080 miles to a vacation lodge. s1 = d1/t1 s1 = 1080/t1 1080 = s1 * t1 One the way back home their average speed was 6 mph less and their trip took 2.…
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11x² - 10x - 1 Polynomial like : ax² + bx + c, where : a = 11 b = - 10 c = - 1 Δ = b² - 4ac (discriminant) Δ = (- 10)² - 4(11 * - 1) = 100 + 44 = 144 = 12² x1 = (- b - √Δ) / 2a = (10 - 12) / (2 * 11) = - 2/22 = - 1/11 x2 = (- b +…
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9x² - 3x = - 5/36 9.[x² - (3/9).x] = - 5/36 x² - (3/9).x = - 5/324 x² - (1/3).x = - 5/324 x² - (1/3).x + (1/6)² = - (5/324) + (1/6)² x² - (1/3).x + (1/6)² = - (5/324) + (1/36) x² - (1/3).x + (1/6)² = - (5/324) + (9/324) x² - (1/…
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= (x³ - 4x) / (x² + 3x + 2) â you factorize x = x(x² - 4) / (x² + 3x + 2) â you know that: 4 = 2² = x(x² - 2²) / (x² + 3x + 2) â you recognize: a² - b² = (a + b)(a - b) = x(x + 2)(x - 2) / (x² + 3x + 2) â you know that: 3…
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= (x³ - 4x) / (x² + 3x + 2) â you factorize x = x(x² - 4) / (x² + 3x + 2) â you know that: 4 = 2² = x(x² - 2²) / (x² + 3x + 2) â you recognize: a² - b² = (a + b)(a - b) = x(x + 2)(x - 2) / (x² + 3x + 2) â you know that: 3…
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How do I find the equation for the straight line with two points A (1 ; 2) and B (4 ; 5) ? The typical equation of a line is: y = mx + b → where m: slope and where b: y-intercept To calculate m m = (yB - yA) / (xB - xA) = (5 - 2) / (4 - 1…
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How do I find the equation for the straight line with two points A (1 ; 2) and B (4 ; 5) ? The typical equation of a line is: y = mx + b → where m: slope and where b: y-intercept To calculate m m = (yB - yA) / (xB - xA) = (5 - 2) / (4 - 1…
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(x + y)³ = (x + y)².(x + y) (x + y)³ = (x² + 2xy + y²).(x + y) (x + y)³ = x³ + x²y + 2x²y + 2xy² + xy² + y³ (x + y)³ = x³ + 3x²y + 3xy² + y³ (x + y)³ = x³ + y³ + 3x²y + 3xy² x³ + y³ = (x + y)³ - 3x²y - 3xy² ← memorize this result as (…
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= (4√8) * (5√3) = (4 * 5) * (√8) * (√3) = (4 * 5) * [√(4 * 2)] * (√3) = (4 * 5) * [(√4) * (√2)] * (√3) = (4 * 5) * [2 * (√2)] * (√3) = (4 * 5) * 2 * (√2) * (√3) = (4 * 5 * 2) * √(2 * 3) = 40 * √6
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= (4√8) * (5√3) = (4 * 5) * (√8) * (√3) = (4 * 5) * [√(4 * 2)] * (√3) = (4 * 5) * [(√4) * (√2)] * (√3) = (4 * 5) * [2 * (√2)] * (√3) = (4 * 5) * 2 * (√2) * (√3) = (4 * 5 * 2) * √(2 * 3) = 40 * √6
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8 cylinders = 4.6 ℓ 1 cylinder = (4.6/8) ℓ 1 cylinder = 0.575 ℓ = 575 cm³ Volume of a cylinder: Vc = (π.d²/4) * h h = Vc/(π.d²/4) h = 4.Vc/(π.d²) → you know that: Vc = 575 cm³ h = (4 * 575)/(π.d²) h = 2300/(π.d²) → given:…
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[2x + (3/2)] / 2 = [4x - (7/4)] / 3 x + (3/4) = (4/3)x - (7/12) x - (4/3)x = - (3/4) - (7/12) (12/12)x - (16/12)x = - (9/12) - (7/12) 12x - 16x = - 9 - 7 - 4x = - 16 â x = 4
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[2x + (3/2)] / 2 = [4x - (7/4)] / 3 x + (3/4) = (4/3)x - (7/12) x - (4/3)x = - (3/4) - (7/12) (12/12)x - (16/12)x = - (9/12) - (7/12) 12x - 16x = - 9 - 7 - 4x = - 16 â x = 4
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[2x + (3/2)] / 2 = [4x - (7/4)] / 3 x + (3/4) = (4/3)x - (7/12) x - (4/3)x = - (3/4) - (7/12) (12/12)x - (16/12)x = - (9/12) - (7/12) 12x - 16x = - 9 - 7 - 4x = - 16 â x = 4
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8 cylinders = 4.6 ℓ 1 cylinder = (4.6/8) ℓ 1 cylinder = 0.575 ℓ = 575 cm³ Volume of a cylinder: Vc = (π.d²/4) * h h = Vc/(π.d²/4) h = 4.Vc/(π.d²) → you know that: Vc = 575 cm³ h = (4 * 575)/(π.d²) h = 2300/(π.d²) → given:…
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= (4√8) * (5√3) = (4 * 5) * (√8) * (√3) = (4 * 5) * [√(4 * 2)] * (√3) = (4 * 5) * [(√4) * (√2)] * (√3) = (4 * 5) * [2 * (√2)] * (√3) = (4 * 5) * 2 * (√2) * (√3) = (4 * 5 * 2) * √(2 * 3) = 40 * √6
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(x + y)³ = (x + y)².(x + y) (x + y)³ = (x² + 2xy + y²).(x + y) (x + y)³ = x³ + x²y + 2x²y + 2xy² + xy² + y³ (x + y)³ = x³ + 3x²y + 3xy² + y³ (x + y)³ = x³ + y³ + 3x²y + 3xy² x³ + y³ = (x + y)³ - 3x²y - 3xy² ← memorize this result as (…
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(x + y)³ = (x + y)².(x + y) (x + y)³ = (x² + 2xy + y²).(x + y) (x + y)³ = x³ + x²y + 2x²y + 2xy² + xy² + y³ (x + y)³ = x³ + 3x²y + 3xy² + y³ (x + y)³ = x³ + y³ + 3x²y + 3xy² x³ + y³ = (x + y)³ - 3x²y - 3xy² ← memorize this result as (…
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How do I find the equation for the straight line with two points A (1 ; 2) and B (4 ; 5) ? The typical equation of a line is: y = mx + b → where m: slope and where b: y-intercept To calculate m m = (yB - yA) / (xB - xA) = (5 - 2) / (4 - 1…
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Recall about speed: s = d/t → where: d = distance t = time A family drove 1080 miles to a vacation lodge. s1 = d1/t1 s1 = 1080/t1 1080 = s1 * t1 One the way back home their average speed was 6 mph less and their trip took 2.…