Answer:
3 cm
Step-by-step explanation:
The ratio of areas of similar figures is the square of the ratio of linear dimensions. That means the ratio of linear dimensions is the square root of the area ratio. The ratio of the smaller triangle dimensions to the larger is then ...
k = √((8 cm^2)/(18 cm^2)) = √(4/9) = 2/3
Then the corresponding side of the smaller triangle is ...
... k · (4.5 cm) = (2/3)·(4.5 cm) = 3 cm
The equations give you information as to where to plot points.
For y = -x + 1, you know the slope is -1, and the line intersects the y-axis at (0, 1). The y-axis is the vertical line; to plot (0, 1), find 1 on the vertical line and mark it. Now, the slope is -1; that means the line will slope downwards. To plot more points, count 1 unit down from (0, 1) and 1 unit to the right. You should end up at (1, 0).Connect those and you have a line.
For y = -2x + 4, the slope is -2 (so it will also slope downwards), and the y-intercept is 4. Find (0, 4) and plot it. The -2 tells you to count 2 units down (instead of 1 like we did for the last equation) and 1 over. That is the second line.
I hope this helps.
Answer:
Option B
Option C
Option D
All of these are correct
Step-by-step explanation:
Option B is correct because:
2x + 1 + 2x + 3 = 4x + 4
=> 4x + 4 = 4x + 4
Option C is correct because:
x + 3x + 4 = 4x + 4
=> 4x + 4 = 4x + 4
Option D is correct because:
2(2x + 2) = 4x + 4
=> 4x + 4 = 4x + 4
Option A is incorrect because:
4(x + 4) = 4x + 4
=> 4x + 16 ≠ 4x + 4
