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0580 P41 - Jun 2019 - Q7 - 14 marks
13721

(a) \(s=ut+\frac12at^2\).

(a(i)) Find s when t=26.5,u=104.3,a=−2.2. Give standard form to4 significant figures. [4]

(a(ii)) Make a the subject. [3]

Two rectangles labelled xminus1 and2xplus3 xminus2 andxplus1

(b) The rectangles have sides (x−1),(2x+3) cm and (x−2),(x+1) cm. Their areas differ by62 cm².

(b(i)) Show that \(x^2+2x-63=0\). [3]

(b(ii)) Factorise \(x^2+2x-63\). [2]

(b(iii)) Solve the equation to find the difference between the perimeters. [2]

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