What is the solution of the system of equations? {-3x - 4y - 3z = -7 {2x - 6y + 2z = 3 {5x - 2y + 5z = 9 a. (5,-2,7) b. (-5,2,7) c.(5,2,-7) d. no solution use a matrix to find the solution to the system of equations. {-8x - 8y = -16 {6x - 9y = -108 ,8) b.(6,8) c.(8,-6) solve the system by elimination. {-2x + 2y + 3z = 0 {-2x - y + z = -3 {2x+ 3y+ 3z = 5 d.(6,-8)

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