Instructions: ⦁ Answer the questions in the space provided below. ⦁ Show your working for the questions ⦁ You are allowed to use a calculator to perform calculations. Q1. Two points A (-2, 9) and B (4, 8) lie on a line l. (i) Find the slope of the line l. (ii) Find the coordinates of the midpoint of the points A and B (iii) Find the distance between points A and B. Q2(i). A line “t” is parallel to 3y = 6x + 9. Find the slope of this line “t”. (ii) Another line “r” is perpendicular to the line 3y = 6x + 9. Find the gradient of the line “r”. Q3. = {x: 2 x 30, x is an integer}, M = {even numbers}, P = {prime numbers}, T = {odd numbers} Find: (i) MUP (ii) M - T (iii) P(MT) (iv) P’U(MT’) Q4. An 8-sided fair die is rolled twice and the product of the two numbers obtained when the die is rolled two times is calculated. (a) Draw the possibility diagram of the product of the two numbers appearing on the die in each throw (b) Use the possibility diagram to calculate the probability that the product of the two numbers is ⦁ A prime number ⦁ Not a perfect square ⦁ A multiple of 5 ⦁ Less than or equal to 21 ⦁ Divisible by 4 or 6
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Answer:
iii)(x1+x2, y1+y2)
(-2+ 4, 9+8)
(2,17)
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