In a three-digit number, the tens digit is equal to the sum of the hundreds and the units digit. the hundreds digit is three more than the units digit. if the digits are reversed, the new number is 11 less than half the original number. find the original number. SOMEONE HELP

The functions q and r are defined as follows. q(x)= -2x+2 r(x)= x^2 - 1 find the value of r(q(

Prove (a) cosh2(x) − sinh2(x) = 1 and (b) 1 − tanh 2(x) = sech 2(x). solution (a) cosh2(x) − sinh2(x) = ex + e−x 2 2 − 2 = e2x + 2 + e−2x 4 − = 4 = . (b) we start with the identity proved in part (a): cosh2(x) − sinh2(x) = 1. if we divide both sides by cosh2(x), we get 1 − sinh2(x) cosh2(x) = 1 or 1 − tanh 2(x) = .

Given: △acm, m∠c=90°, cp ⊥ am , ac: cm=3: 4, mp-ap=1. find am.