The table shows the prices of posting large letters. gerard wants to post two large letters: - -a large weighing 230g to the nearest 20 grams. - a large letter weighing 500g to the nearest 10 grams. a) what is the smallest possible price for posting both large letters? . b) what is the greatest possible price posting both large letters? table size weight price - 100g. 95p - 250g. £1.26. - 500g. £ 1.68 - 750g. £2.42.

Using elimination, what is -4x+2y=-12 4x+8y=-24

Find the condition that the zeros of the polynomial f(x) = x^3+3px^2+3px+r may be in a.p.

Given: ad¯¯¯¯¯ is an altitude. prove: ab2+ac2=cb2 right triangle a b c with right angle a. point d lies on side b c and segment a d is drawn. angle a d c is a right angle. drag and drop a reason into each box to correctly complete the two-column proof. statement reason ad¯¯¯¯¯ is an altitude, and ∠bac is a right angle. given ∠adb and ∠adc are right angles. definition of altitude ∠bac≅∠bda ? ∠bac≅∠adc ? ∠b≅∠b ? ∠c≅∠c reflexive property of congruence △abc∼△dba ? △abc∼△dac aa similarity postulate abbd=cbab ? ab2=(cb)(bd) cross multiply and simplify. acdc=cbac polygon similarity postulate ac2=(cb)(dc) cross multiply and simplify. ab2+ac2=ab2+(cb)(dc) addition property of equality ab2+ac2=(cb)(bd)+(cb)(dc) substitution property of equality ab2+ac2=(cb)(bd+dc) ? bd+dc=cb segment addition postulate ab2+ac2=cb2 substitution property of equality