(3 marks) 12015 PPI No. 211
24. A line with gradient of -3 passes through the points (3. k) and (k, 8). Find the value of a
and hence express the equation of the line in the form of ax+by=c, where a, b and c are
constants.
(3 marks
12016 PPI No. 1
5​

m∠cdf = 43° , m∠gdf = 114°, m∠gde = 23°, m∠edh = 23° , m∠cdh = 157°

step-by-step explanation:

since, it is given that de bisects the angle gdh ⇒ de divides the angle gdh into two equal angles.

⇒ m∠gde = m∠edh

⇒ 8·x   - 1 = 6·x + 5

⇒ x = 3

so, m∠gde = 8·x - 1 = 23°

and m∠edh = 23°

now, it is given ∠cde is an straight angle so, m∠cde = 180°

⇒ m∠cdf + m∠fdg + m∠gde = 180°

⇒ 43° + m∠fdg + 23° = 180°

⇒ m∠fdg = 114°

again, m∠cde = m∠cdh + m∠edh = 180°

m∠cdh + 23° = 180°

⇒ m∠cdh = 157°

a)(x-2)^2+(y-1)^2=9

step-by-step explanation:

(picture explains)

the cost function, c(x), is the total cost of manufacturing x units of the product. how many units must the company produce and sell if they wish to make a b. if the company produces and sells 2000 units, would they obtain a profit or loss?