Aparachutist jumps from an airplane and immediately opens her parachute. her altitude in metres, after t seconds, is modelled by the equation y = -11t + 500. a second parachutist jumps 5 secs later and free falls for a few seconds. his altitude during this time is modeled by the equation y = -4.9 (t-4)^2 + 500. when does he catch up to the first parachutist? (hint: when do they meet in the air? )

Adam drew two same size rectangles and divided them into the same number of equal parts. he shaded 1/3 of one rectangle and 1/4 of the other rectangle. what is the least number of parts into which both rectangles could be divided into?

Juliana says that she can use the patterns of equivalent ratios in the multiplication table below to write an infinite number of ratios that are equivalent to 6: 10. which statement explains whether juliana is correct? she is correct because she can multiply 6 and 10 by any number to form an equivalent ratio. she is correct because 6: 10 can be written as 1: 2 and there are an infinite number of ratios for 1: 2. she is not correct because the multiplication table does not include multiples of 10. she is not correct because 6: 10 is equivalent to 3: 5 and there are only 9 ratios in the multiplication table that are equivalent to 3: 5.

In the diagram, gef and hef are congruent. what is the value of x