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1. ### Is there a method to work out how to express a non-unit fraction as the product of unique unit fractions?

...0 < n/d < 1 . Take a positive number k so that 1/k < n/d < 1/(k-1) . n/d - 1/k = (nk...

2 Answers · Science & Mathematics · 01/09/2019

2. ### what must be the value of k?

y = 4x - 8 The inverse is: x = 4y - 8 x + 8 = 4y y = (x + 8) / 4 y = (1/4)x + 2 So k = 2

3 Answers · Science & Mathematics · 28/08/2019

3. ### How do I simplify a combination expression with a variable?

.... So you can reduce this to: kC3 / 10C3 kC3 = k(k-1)(k-2) / 3! 10C3 = 10*9*8 / 3! When you divide, the 3! will cancel...

2 Answers · Science & Mathematics · 01/09/2019

... has a direction vector (0-0)î + (0-1)ĵ + (1-2)k̂ = -ĵ-k̂ which we can write as <0,-1,-1>. All...

6 Answers · Science & Mathematics · 10/09/2019

5. ### The following exercise is based on the half-angle formulas. Use the fact that sin(π/6) = 1/2 to prove that tan(π/12) = 2 −sqrt 3.?

...sin(pi/12)^2 * cos(pi/12)^2 1/16 = (1 - cos(pi/12)^2) * cos(pi/12)^2 cos(pi/12)^2 = k (1/16) = (1 - k) * k 1 = 16 * k * (1 - k) 1 = 16k - 16k^2 16k^2 - 16k + 1 = 0 k = (16...

1 Answers · Science & Mathematics · 25/08/2019

p = kl^2/z^3 ...... need 15 characters

4 Answers · Science & Mathematics · 19/08/2019

174/6= 29 K=29. If y varies directly as x, then (X)(K)=Y This means K =Y/X

4 Answers · Science & Mathematics · 19/08/2019

... relative minimum at x=3 (i) the relative minimum of f is -1 (j) f(-4) = 8 (k) The values of x for which f(x)=3 are 1 and 5 (l) Let...

2 Answers · Science & Mathematics · 06/09/2019

9. ### How do I find θ from equation n=4(cos(θ))^2+(sin(θ))^2?

... solutions exist only for 1 ≤ n ≤ 4 For any integer k: Θ₁ = arccos(√[(n-1)/3]) ± 2kπ Θ₂ = ...

10 Answers · Science & Mathematics · 21/08/2019

10. ### Find K...MATH?

k^2 - 3k = 28 k^2 - 3k - 28 = 0 (k - 7)(k + 4) = 0 k = -4, 7 and if you're asked to find x: k = -4: -4 = (x + 3)/(x - 4) -4(x - 4) = x + 3 -4x + 16 = x + 3 16 - 3 = x...

2 Answers · Science & Mathematics · 18/08/2019