Factorise: -2xy - 6x

Here are the solutions to the questions: Question 8: Factorise: -2xy - 6x Step 1: Identify the common factors in both terms. The terms are -2xy and -6x. The common factors are -2 and x. Step 2: Factor out the common factors. -2xy - 6x = -2x(y) + (-2x)(3) = -2x(y+3) The correct option is A. A Question 9: Which of the following is an empty set? Step 1: Evaluate each option. • A. Triangle with 4 sides: A triangle, by definition, has 3 sides. A figure with 4 sides is a quadrilateral, not a triangle. Therefore, there are no triangles with 4 sides. This set is empty. • B. Multiples of 3: This set includes numbers like 3, 6, 9, ... It is not empty. • C. Days of the week: This set includes Monday, Tuesday, etc. It is not empty. • D. Months of the year: This set includes January, February, etc. It is not empty. The correct option is A. A Question 10: A boy bought a book for D50.00 and sold it at a profit of 10%. What was his selling price? Step 1: Calculate the profit amount. Profit = 10% of D50.00 Profit = 0.10 × D50.00 = D5.00 Step 2: Calculate the selling price. Selling Price = Cost Price + Profit Selling Price = D50.00 + D5.00 = D55.00 The correct option is C. C Question 11: Convert 0.25 to a fraction. Step 1: Write the decimal as a fraction with a denominator of 100. 0.25 = (25)/(100) Step 2: Simplify the fraction by dividing the numerator and denominator by their greatest common divisor, which is 25. (25 ÷ 25)/(100 ÷ 25) = (1)/(4) The correct option is D. D Question 12: Which of the following options is the greatest? Step 1: Convert all fractions to decimals for easy comparison. • A. (1)/(4) = 0.25 • B. (2)/(5) = 0.4 • C. (3)/(5) = 0.6 • D. (3)/(4) = 0.75 Step 2: Compare the decimal values. 0.25 < 0.4 < 0.6 < 0.75 The greatest value is 0.75, which corresponds to (3)/(4). The correct option is D. D Question 13: If a die is tossed once, what is the probability of getting an even number? Step 1: List all possible outcomes when tossing a standard six-sided die. The possible outcomes are \1, 2, 3, 4, 5, 6\. Total number of outcomes = 6. Step 2: List the even numbers among the possible outcomes. The even numbers are \2, 4, 6\. Number of favorable outcomes (even numbers) = 3. Step 3: Calculate the probability. Probability = Number of favorable outcomesTotal number of outcomes = (3)/(6) Step 4: Simplify the fraction. (3)/(6) = (1)/(2) The correct option is not visible in the provided image, but the probability is (1)/(2). What's next? Send 'em! 📸