If sum of the perpendicular distances of a variable point P (x, y) from the lines x + y – 5 = 0 and 3x – 2y + 7 = 0 is always 10. Show that P must move on a line.

Yuri, sam and dani had the same math homework last night, but none of them finished it. yuri finished 3/8 of her homework, sam finished 4/6 of her homework and dani finished 1/2. who finished the most math homework? who finished the least amount?

Which expression is equivalent to the expression for the perimeter of the larger garden?

In which month was the peak, the largest deposit, made? january june july august