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ppsMDb Youlube M Inbox- navee Question 1 6 marks he points A(a,b) and C(c,d) are the opposite vertices of square ABCD in the Cartesian plane What are the coordinates of the other two vertices? Be sure to cover all cases of where A and C could bel (a) 4 marks (b) What is the area of the square ABCD? 2 marks P A(ab) (Hint: you may find the following construction useful. Calculate both p+q and p-q) C(c,d) g Minh Pham Assi >x G Math Problem, Solver and Calcul/X DWMAT 123 Term 2 https://i resource/content/16A MATI 23%20Term%2029620201 9Assignmenti pdf MDb YouTube M Inbox 5 Question 2 6 marks Take two points A(a, a') and B(b, b') on the parabola yx (neither A nor B being the vertex o/o,o. Draw OC through the origin parallel to AB, cutting the parabola at E(c, c2) (a) Prove that a+b c 2 marks (b) Now choose another 2 points D and E along the parabola so that DE is parallel to AB and show that the midpoints of OC, AB and DE lie on a straight line 2 marks (c) Make a general statement about any 3 parallel lines cutting through the parabola y x2. Do you think this would generalize to any parabola? Give reasons. 2 marks 2 1006 PM 4/1/2019 O Type here to search С 0 https://il 19 t1.pdf Question 4 2 marks Amy was asked to multiply a certain number by 3 and then add 6 to the result. Instead, though, she added 6 first then multiplied by 3. She gave the answer of 2019 which was not correct. What should have been the answer? Question 5 2 marks If X-25 t-2 and y-5- t#2,find y in terms of x. Question 6 2 marks If calculate 3.22 calculate 0t2 3a2-2b2 Question7 2 marks Calculate (20192019+2019-201 2 Question 8 3 marks A new operator is defined by: x y| If a (a 1) = 3. What is a? for x#y y #3 O Type hee to search SIS. 2 5 С https://i 5759/ 112 ntt.pdf Question 9 2 marks In a class there are 14 boys and 10 girls. The class recently had a maths test. The boys' average mark was 85% and the class average was 90%. What was the girls' average mark in the test? Question 10 2 marks In the days leading to a maths test, Ramon planned to solve 15 problems each day. However, he solved 3 extra problems each day which meant that, in the remaining 3 days before the test, he only had to do 4 problems each day. How many problems did Ramon solve in total? Page 4 of 5 Macquarie University International College O Type here to search

Answer 1

31+6 +6) 3 = R019 6-613 1, 2,3· Sơlvi エam

6二 2.9 2. 30 2o1l4 nola -a0191た/ 2019 -2019 201 q b=2019-2019 201q 2ol9 こ 1x2019