Make t the subject of formula \(k = m\sqrt{\frac{t-p}{r}}\)
\(\frac{rk^2 + p}{m^2}\)
\(\frac{rk^2+pm^2}{m^2}\)
\(\frac{rk^2-p}{m^2}\)
\(\frac{rk^2-p^2}{m^2}\)
Correct answer is B
\(k = m\sqrt{\frac{t - p}{r}}\)
\(\frac{k}{m} = \sqrt{\frac{t - p}{r}}\)
\((\frac{k}{m})^2 = \frac{t - p}{r}\)
\(rk^2 = m^2 (t - p)\)
\(\therefore m^2 t = rk^2 + m^2 p\)
\(t = \frac{rk^2 + m^2 p}{m^2}\)
Find the equation whose roots are -8 and 5
\(x^2 + 13x + 40=0\)
\(x^2 - 13x - 40=0\)
\(x^2 - 3x +40=0\)
\(x^2 + 3x - 40=0\)
Correct answer is D
Equation with roots -8 and 5: (x + 8)(x - 5) = 0
\(x^2 - 5x + 8x - 40 = 0\)
\(x^2 + 3x - 40 = 0\)
Form an inequality for a distance d meters which is more than 18m, but not more than 23m
18 ≤ d ≤ 23
18 < d ≤ 23
18 ≤ d < 23
d < 18 or d > 23
Correct answer is B
No explanation has been provided for this answer.
Simplify \(\frac{1}{x-3}-\frac{3(x-1)}{x^2 - 9}\)
\(\frac{x-1}{x-3}\)
\(\frac{-2}{x+3}\)
\(\frac{x-1}{x+3}\)
\(\frac{4x}{x^2-9}\)
Correct answer is B
\(\frac{1}{x-3}-\frac{3(x-1)}{x^2 - 9}\\
\frac{1}{x-3}-\frac{3(x-1)}{(x-3)(x+3)}\\
\frac{x+3-3x+3}{(x-3)(x+3)};\frac{-2x+6}{(x-3)(x+3)}\\
\frac{-2(x-3)}{(x-3)(x+3)}=\frac{-2}{x+3}\)
Given that (2x + 7) is a factor of \(2x^2 + 3x - 14\), find the other factor
x + 2
2 - x
x - 2
x + 1
Correct answer is C
\(2x^2 + 3x - 14\)
\(2x^2 + 7x - 4x - 14\)
\(x(2x + 7) - 2(2x + 7)\)
= \((x - 2)(2x + 7)\)
The other factor = (x - 2).