In a right triangle abc, right angled at c, p and q are points on the sides ca and cb respectively which divide these sides in the ratio 2: 1. prove that:
(i) 9 aq^2 = 9 ac^2 + 4 bc^2
(ii)9 bp^2 = 9 bc^2 + 4 ac^2
(iii) 9 (aq^2 + bp^2) = 13 ab^2

Cumulative examcumulative exam active13time remaining02: 44: 18the graph represents the data cost for monthly internetservice for a cell phone.which function, c(x), represents the monthly cost in dollarsin terms of x, the number of gigabytes used in a month? cell phone internet service(15,5x + 10150,0sx522 < x < 664x115, osx< 25x + 20, 2< x< 650, 65815%,monthly cost (s)20x + 5| 50x,0 < x < 22 < x < 664x( 15x, osx< 2c(x) = 5x + 10, 2< x< 6150x, 65 x5+1234 5 6 7 8 9 10 11 12gigabytes used

What is the probability of drawing three queens from a standard deck of cards, given that the first card drawn was a queen? assume that the cards are not replaced.

What is the definition of exponential decay?