On a coordinate plane, a hyperbola has curves in quadrant 1 and 3. The curve in quadrant 1 opens up and to the right and approaches the positive y-axis and positive x-axis. The curve in quadrant 4 opens down and to the left and approaches the negative x-axis and negative y-axis.

Expresa commuter train leaves downtown sation and travels at a average speed of 55 miles per hour towards the north side sation, which is 50miles away. thirty minutes later, express commuter train #7 leaves north side and travels at a average speed of 35miles per hour towards downtown sation. at the moment the two trains pass each other, how far(in miles) is train #12 from the downtown sation and how long(in minutes) has the #12 train been traveling

Find cot x if sin x cot x csc x = √2

‼️‼️‼️‼️‼️the pressure exerted on the walls of a container by a gas enclosed within it is directly proportional to the temperature of the gas. if the pressure is 6 pounds per square inch when the temperature is 440 f, find the pressure exerted when the temperature of the gas is 380°f. (show work)