22cm2
44cm3
77cm3
3082
Correct answer is C
Volume = \(\frac{1}{3} \pi r^2h = \frac{1}{3} \times \frac{22}{7} \times \frac{7}{2} \times \frac{7}{2} \times \frac{6}{1}\)
V = \(\frac{6468}{84}\)
= 77cm3
If loga270 - loga10 + loga \(\frac{1}{3}\) = 2, what is the value of a?
3
4
5
6
Correct answer is A
loga270 - loga10 + loga\(\frac{1}{3}\) = 2
loga270 + loga\(\frac{1}{3}\) - loga10 = 2
loga(270\(\frac{\frac{1}{3}}{10}\)) = 2
loga9 = 2
aa = 9
a = \(\sqrt{9}\) = 3
Which of these equations best describes the points of intersection of the curve and the line?
\(x^2 + 5x - 6 = 0\)
x2 - 5x - 6 = 0
x2 + x - 6 = 0
x2 - x - 6 = 0
Correct answer is C
The roots are -3 and 1
x = -3 and x = 1
y = (x + 3)(x - 1)
= x2 - x + 3x - 3
y = x2 + x - 6 = 0
If x + y = 12 and 3x - y = 20, find the value of 2x - y
8
10
12
15
Correct answer is C
x + y = 12 + 3x - y = 20 --------------- 4x = 32 x = 8 x + y = 12; 8 + y = 12; y = 12 - 8 = 4 2x - y = 2(8) - 4; 16 - 4 = 12
If 2x + y = 10, and y \(\neq\) 0, which of the following is not a possible value of x?
4
5
8
10
Correct answer is B
The value for which the equation is impossible
2x = 10 (if y = 0)
x = 5
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