On a Number line the directed line segment from Q to S has endpoints Q at -8 and S at 12. Point R Partitions the direct line segment from Q to S in a 4:1 ratio. Which expression correctly uses the formula (m/ m + n)(x2 -x1) + x1 to find the location of point R? The options are:

* (1/1+4)(12-(-8))+(8)

*(4/4+1)(12-(-8))+(-8)

*(4/4+1)(-8-12)+12

*(4/1+4)(-8-12)+12

At the olympic games, many events have several rounds of competition. one of these events is the men's 100-meter backstroke. the upper dot plot shows the times (in seconds) of the top 8 finishers in the final round of the 2012 olympics. the lower dot plot shows the times of the same 8 swimmers, but in the semifinal round. which pieces of information can be gathered from these dot plots? (remember that lower swim times are faster.) choose all answers that apply: a: the swimmers had faster times on average in the final round. b: the times in the final round vary noticeably more than the times in the semifinal round. c: none of the above.

What is the radical expression that is equivalent to the expression 27 1 over 5?

What is the circumference of a circle with an area of 50.24 cm²?