What is the domain of the graph in the picture

The total number of photos on hannah’s camera is a linear function of how long she was in rome. she already had 44 photos on her camera when she arrived. then she took 24 photos each day for 6 days. what is the rate of change of the linear function that represents this

The length of a rectangle is x times the square root of 100. the width is one-half y more than three-halves x. given that the area of the rectangle is 125 cm2, which equation could represent the rectangle in terms of x and y? a) 5xy − 15x = 125 b) 5xy + 15x = 125 c) 15x2 − 5xy = 125 d) 15x2 + 5xy = 125

Can someone me with #s 8, 9, and 11. with just one of the three also works. prove using only trig identities.