The center of a circle is at the origin on a coordinate grid. a line with a positive slope intersects the circle at (0, 7). which statement must be true? a) the circle has a radius greater than 7 b) the circle has a radius equal to 7 c) the slope of the line is equal to 7 d) the slope of the line is not equal to 7

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.

Parabolas y=−2x^2 and y=2x^2 +k intersect at points a and b that are in the third and the fourth quadrants respectively. find k if length of the segment ab is 5.

Write the equation in logarithmic form m^x=n