Point a has the coordinates of (1, -2) and line m is given by the equation -3x + 4y = 9.

what is the perpendicular distance d (i. e. the length of segment ab) from point a to line m as shown in the figure above.

Abouncy ball is released from a certain height. on the first bounce, it travels 32cm. with each subsequent bounce, it travels 9/10 the distance of the previous bounce. what is the total distance that the ball has traveled when it completes its 25th bounce?

If tan2a=cot(a+60), find the value of a, where 2a is an acute angle

You went to a restaurant and spent $53.25 on the meal. there was a 6% sales tax. what was the amount of money, not including a tip, you spent at the restaurant?