Explanation

(a)(i) Liquefaction of air and fractional distillation of liquid air

(ii) covalent bonding.

(b) ozone is an allotrope of oxygen.

Correct Answer: a) crew

Correct Answer: B) Bearer cheque

Explanation

It is important to note that bearer cheques can be risky because if they are lost or stolen, anyone who finds or steals the cheque can use it. That is why it is always important to keep cheques safe and secure.

To learn more about cheques and their different types, you can refer to your Commerce textbook or ask your teacher for more information

Correct Answer: C. 2 cm

Explanation

The area of sector in radians = \(\frac{r^{2} \theta}{2}\)

\(3 cm^{2} = \frac{1.5 \times r^{2}}{2}\)

\(r^{2} = \frac{3 \times 2}{1.5} = 4\)

\(r = 2 cm\)

Explanation

a. Let the numbers be p, r and q respectively

Given:

p + r + q = 81 --- (i)

r = 2p --- (ii)

q = r + 6 --- (iii)

Substitute (2p) for r in equation (iii)

q = 2p + 6 --- (iv)

Substitute (2p) for r and (2p + 6) for q in equation (i)

⇒ p + (2p) + (2p + 6) = 81

⇒ 5p + 6 = 81

⇒ 5p = 81 - 6

⇒ 5p = 75

p = \(\frac{75}{5}\) = 15.

From equation (ii)

⇒ r = 2(15) = 30

From equation (iv)

⇒ q = 2(15) + 6

⇒ q = 30 + 6 = 36

∴ The numbers are 15, 30 and 36

b. \(m_1 = \frac{ y_2 - y_1}{ x_2 - x_1}\)

Given points are P( 3, 5) and Q( -5, 7) = P(\( x_1 , y_1)\) , Q(\( x_2 , y_2)\)

the slope of line PQ = \((\frac{ 7 - 5}{ -5 - 3}) = \frac{2}{-8} = -\frac{1}{4}\)

Given that R( x, y) is the midpoint of the line formed by the points P( 3, 5) and Q( -5, 7)

R(x, y) = \(\frac{3 + (-5)}{2}, \frac{5 + 7}{2} = \frac{ 3 - 5}{2} , \frac{ 5+7}{2}\)

= -\(\frac{2}{2} , \frac{12}{2}\) = (-1, 6)

but the line passes through the point R( -1, 6) and is perpendicular to LINE PQ

\(m_2 = \frac{1}{m_1} = -\frac{1}{\frac{-1}{4}}\) = 4

Equation of the line can be obtained using \(y - y_1 = m_2( x - x_1)\)

y - 6 = 4( x - (-1)) = y - 6 = 4( x + 1 )

y - 6 = 4x + 4

y = 4x + 4 + 6

Therefore, y = 4x + 10

Correct Answer: B. into their own hands

Correct Answer: D. development of haustoria

Correct Answer: A. Kano-Earthquake

Correct Answer: A. resources required for the provision of goods and services

Correct Answer: D. soothsayers.