Answer two questions about Systems A and B: System A System B
x-7y=-3 4x+y=7
4x+y=7 x−7y=−3
1) How can we get System B from System A?
Choose 1
A. Swap only the left-hand sides of both equations
B. Swap the order of the equations
C. Replace one equation with itself where a quantity is added to only one side
D. Replace one equation with itself where the same quantity is added to both sides
2) Based on the previous answer, are the systems equivalent? In other words, do they have the same solution? A. Yes B. No

Lorne subtracted 6x3 – 2x + 3 from –3x3 + 5x2 + 4x – 7. use the drop-down menus to identify the steps lorne used to find the difference.

Kayla wants to find the width, ab, of a river. she walks along the edge of the river 65 ft and marks point c. then she walks 25 ft further and marks point d. she turns 90° and walks until her location, point a, and point c are collinear. she marks point e at this location, as shown. (a) can kayla conclude that δ and δ are similar? why or why not? (b) suppose de = 15 ft. what can kayla conclude about the width of the river?

Max recorded the heights of 500 male humans. he found that the heights were normally distributed around a mean of 177 centimeters. which statements about max’s data must be true? a) the median of max’s data is 250 b) more than half of the data points max recorded were 177 centimeters. c) a data point chosen at random is as likely to be above the mean as it is to be below the mean. d) every height within three standard deviations of the mean is equally likely to be chosen if a data point is selected at random.