From the equation whose roots are x = \(\frac{1}{2}\) and -\(\frac{2}{3}\)
6x2 - x + 2 = 0
6x2 - x - 2 = 0
6x2 + x + 2 = 0
6x2 + x - 2 = 0
Correct answer is D
x = \(\frac{1}{2}\) and x = \(\frac{-2}{3}\)
expand (x - \(\frac{1}{2}\))(x + \(\frac{2}{3}\)) = 0
x(x + \(\frac{2}{3}\)) - \(\frac{1}{2}(x + \frac{2}{3}\)) = 0
x2 + \(\frac{4x - 3x}{6} - \frac{2}{6} = 0\)
\(x^2 + \frac{x}{6} - 2 = 0\)
6x2 + x - 2 = 0
If the efficiency of a transformer is 100%, which of the following equations would be correct?
N\(_p\)E\(_p\) = N\(_s\)E\(_s\)
N\(_s\)I\(_p\)= N\(_p\)I\(_s\)
N\(_s\)I\(_s\) = N\(_p\)I\(_p\)
I\(_p\)E\(_s\) = I\(_s\)E\(_p\)
Correct answer is D
No explanation has been provided for this answer.
142cm2
132cm2
122cm2
112cm2
Correct answer is B
A prism has 3 rectangular faces and 2 triangular faces and 2 rectangular faces = 10(3 + 4 + 5) = 120
Area of triangular faces = \(\sqrt{s(s - a) (s - b) (s - c)}\)
where s = \(\frac{a + b + c}{2}\)
= \(\frac{3 + 4 + 5}{2}\)
= \(\frac{12}{2}\)
= 6
Area of \(\bigtriangleup\) = \(\sqrt{6(6 - 30(6 - 4)(6 - 5)}\)
= \(\sqrt{6 \times 3 \times 2 \times 1}\) = 6
Area of triangle faces = 2 x 6 = 12cm2
Total surface area = Area of rectangular face + Area of \(\bigtriangleup\) = 120 + 12
= 132cm2
Esther was facing S 20° W. She turned 90° in the clock wise direction. What direction is she facing?
N 70o W
S 70o W
N 20o W
S 20o E
Correct answer is A
The bearing S 20° W is equivalent to a bearing of 200°.
Moving clockwise 90° ⇒ 200° + 90°
= 290°
This is equivalent to N 70° W.
Which of the following statements about a moving object is correct?
When accelerating, the resultant force acting on it must be equal to zero.
There must always be a non-zero resultant force acting on it.
At a steady velocity, the resultant force acting on it must be equal to zero
At a steady velocity, the air resistance must be equal to zero.
Correct answer is C
No explanation has been provided for this answer.