Everything Maths Grade 10

From the sketch, we can estimate thatFwill lie on they-axis, with a negativey-coordinate. Step 2: Assign values to(x 1 ;y 1 )and ...

From the sketch, we can estimate thatMwill lie in quadrant I, with positivex- andy-coordinates. Step 2: Assign values to(x 1 ;y ...

Step 2: Assign values to(x 1 ;y 1 )and(x 2 ;y 2 ) Let the coordinates ofCbe(x 1 ;y 1 )and the coordinates ofDbe(x 2 ;y 2 ). x 1 ...

Step 2: Assign values to(x 1 ;y 1 )and(x 2 ;y 2 ) Let the mid-point ofEGbeM(x;y) x 1 = 1 y 1 = 0 x 2 = 8 y 2 = 11 Step 3: Write ...

2.Calculate the coordinates of the mid-point (M) between pointA( 2 ; 1 )and pointB( 1 ;3,5)in the following diagram: 3 2 1 1 ...

If two lines are parallel, their gradients are equal. If two lines are perpendicular, the product of their gradients is equal t ...

3.You are given the following diagram, with 4 shapes drawn. All the shapes are identical, but each shape uses a different naming ...

4 3 2 1 1 2 3 4 5 4 3 2 1 1 2 3 A(3; 2) B(x;4) x y The distance between the points is 8,4853. Calculate the missing coo ...

9.You are given the following diagram: 3 2 1 1 2 3 2 1 1 2 3 4 5 A(2;2) B(1;y) x y You are also told that lineABhas a grad ...

12.You are given the following diagram: 3 2 1 1 2 3 2 1 1 2 3 4 A(2;1) B x y You are also told that lineABruns parallel to ...

15.You are given the following diagram: 4 3 2 1 1 2 3 4 5 6 5 4 3 2 1 1 A(3; 0) B(5;y) x y You are also told that lineA ...

6 5 4 3 2 1 1 2 3 2 1 1 2 3 F(2; 1) G(6; 3) H(2;3) M x y 19.In the diagram below, the vertices of the quadrilateral are ...

23.EF GHis a parallelogram with verticesE(1; 2),F(2;1)andG(2; 0). Find the coordinates ofHby using the fact that the diagonals o ...

31.Given the following diagram: 2 2 4 6 8 2 2 4 6 A(2; 2) B(4; 5) C(8; 2) D(1;3) E(a;b) x y a)IfEis the mid-point ofAB, find t ...

37.A(2; 4),B(4;2)andC(4; 0)are the vertices of△ABC.DandE(1; 2)are the mid-points ofAB andACrespectively. A B C E D x y a)Find th ...

40.The following diagram shows△P QRwithP(1; 1). The equation ofQRisx 3 y = 6 and the equation ofP Risxy2 = 0.RP Q^ =. 2 4 6 2 ...

a)Determine the coordinates ofE, the mid-point ofBD. b)Prove thatABCDis a parallelogram. c)Find the equation of diagonalBD. d)De ...

d)Write down the value of the ratio: area△OAB area△OM N . e)Write down the coordinates ofPsuch thatOAP Bis a parallelogram. 47.A ...

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CHAPTER^9 Financeandgrowth 9.1 Introduction 330 9.2 Simple interest 330 9.3 Compound interest 335 9.4 Calculations using simple ...