MiniHSC3 - 10 11 MmHscs Simplify i Via V5 ii(Ni)2 Find the...

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Unformatted text preview: 10 11 MmHscs Simplify i) Via + V5) ii) (Ni)2 Find the differentials of each of the following: .. 3 i) 4X3-X-5 ii) §-+ 6x2 in) (4+8x) Solve the equations: 2 2 i) lx-4l :1 ii) x —8x-9=0 111) 12x-x :0 If cost) =§ and 6 is acute, find the exact value of tane. 5 ABCD is a parallelogram. i) ii) iii) iv) If angle BAC = x°, write down the size of angle ACD in terms of x. Give reasons. If angle BCA = y°, write down the size of angle CAD in terms of y. Hence, prove that AADC is congruent to ACBA Hence, prove that AB = DC. The first term of an AP (arithmetic progression) is -64. The common difference is 5. i) ii) iii) Write down the next two terms. Find the 20th term. Find the sum of 20 terms. 2 Solve the quadratic equation 4x + 9x - 2 = 0 using the quadratic formula. If y = x3 - 12x, find the value(s) of x for which %E = 0 2 Find the equation of the tangent to y = x which is parallel to y = 6x + 20 Simplify sin60.cos30 ABCD is a rectangle where A = (-1,3) B = (5,3) C = (5,-4) i) ii) iii) iv) V) i) ii) Show these points on a Cartesian diagram. Find the co-ordinates of D Find the co-ordinates of M the midpoint of AC Show that M is also the midpoint of BD Find the area of AAMD in square units. State what is meant by "similar" triangles Write down the 3 tests for similar triangles. ...
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