The <em><u>correct answer</u></em> is:
bx + 3y > 6 and y > 2x + 4
Explanation:
Looking at the second inequality, the y-intercept is 4 and the slope is 2. This means the graph of the line crosses the y-axis at (0, 4) and the line goes up 2 and over 1. Since it is greater than, this means the graph is shaded above it. Comparing this to the graph, the line for the blue part crosses the y-axis at (0, 4) and goes up 2 and over 1. The graph is also shaded above the line.
For the first inequality, bx+3y > 6, we want to isolate y. To do this, we subtract bx from each side:
bx+3y-bx > 6-bx
3y > 6-bx
Divide both sides by 3:
3y/3 > 6/3 - bx/3
y > 2 - (b/3)x
This means the line for this will have a y-intercept of 2 and decrease 1 while going over 3. The orange section does this. Additionally, since it is greater than, the graph should be shaded above the line. This one is, so this is the correct answer.
Answer:
Step-by-step explanation:
According to the graph, CD is 5 - 1 = 4 units long.
Rotation doesn't change the length of the segment, so C'D' = CD = 4 units.
Correct choice is A.
Answer:
y>-2/3x+3
Step-by-step explanation:
Looking at the line, we notice that the y-intercept is 3, and the slope is -2/3, so using that information, we find the slope intercept form of the inequality, which is y(?)-2/3x+3 (the question mark is where the inequality symbol will be).
Looking at the line again, we see that it is shaded above (not below), so y is greater than the other side of the inequality.
Looking at the line AGAIN, we see the graph has a dashed line (not solid), so we are not dealing with an "or equal to" inequality.
Therefore, we should use the greater than symbol, creating the answer y>-2/3x+3.
