## real numbers, question 18, grade 9

18) Simplify :Read More

18) Simplify :Read More

17) Consider a triangle ABC such that: AB = AC= BC= Simplify each of AB,AC, and BC. Deduce the nature of triangle ABC. Read More

15) a store announced a 10% VAT on all items, Designate by x the initial price of an item and by y the new price after that VAT. Write a linear relation between x and…Read More

14) school A contains 400 students, and school B contains 300 students; the percentage of girls in school A is 20%, and their percentage in school B is 40%. Students of both schools meet at…Read More

13) In a school, 70% of the students are boys. Denote by x the total number of students and by y the number of girls. Express y interms of x. suppose that the school contains…Read More

11) Given: and Write A(x) as a product of three factors. Verify that B(x) = 2(x-1)(x+2). let M(x) = i) Determine the domain of definition of M(x) then simplify it. ii) Solve M(x) = and…Read More

16) Write each of A and B in the simplest form where: and 2. Carry out C in the simplest rational form where C = 3. What can you say about …Read More

( x is an acute angle) Verify that BC = Show that AH = Suppose that sinx = a) Calculate cosx. b) Deduce the exact value of AB and AC. c) Calculate CH and BH.…Read More

Choose the correct answer: 1) If where x is an acute angle, then x = a) b) …Read More

4) With all conditions preserved, Given: AB = 2y+1, AC = 3x+1, BE= x+1, EC = 2y+1. Calculate x and y knowing that the perimeter of triangle ABC is 19 and that AC = 2…Read More

10) Given A(x) = and B(x) = Verify that A(x)=(x-1)(x-2) and deduce its roots. Solve A(x) < x(x-3). i) Show that B(x) = ii) Determine the domain of definition of B(x) then simplify it. iii)…Read More

15) Choose the correct answer: is strictly positive if and only if: a) x > 3 b) x > -3 c) x <…Read More