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

Apatient is to take 60 mg of an antibiotic on day 1, take 45mg on days 2 and 3, take 30mg on days 4 and 5 and take 15 mg on days 6 and 7. how many total mg will the patient take?

Areal estate agent earns $32,000 a year plus $1,000 for each apartment he sells. write an equation that shows the relationship between the number of apartments abe sells, n, and the total amount he earns in a year, e. what is the total amount abe would earn from selling 10 apartments in one year

Which is the focus of a parabola with equation y2=4x