(08.02)Which description best describes the solution to the following system of equations?

y = −one halfx + 9
y = x + 7

Lines y = −one halfx + 9 and y = x + 7 intersect the x-axis.
Lines y = −one halfx + 9 and y = x + 7 intersect the y-axis.
Line y = −one halfx + 9 intersects the origin.
Line y = −one halfx + 9 intersects line y = x + 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.

2people are trying different phones to see which one has the better talk time. chatlong has an average of 18 hours with a standard deviation of 2 hours and talk-a-lot has an average of 20 hours with a standard deviation of 3. the two people who tested their phones both got 20 hours of use on their phones. for the z-scores i got 1 for the chatlong company and 0 for talk-a-lot. what is the percentile for each z-score?

How can you construct perpendicular lines and prove theorems about perpendicular lines