Answer: Rotations, reflections, translations (A, C, and E)
Imagine you had a camera aimed at a triangular figure on a piece of paper. If you rotate the camera, then the image of the triangle appears to rotate. In reality it's the other way around. What this means is that the triangle is not changing at all. It keeps the same size, shape, area, perimeter, etc. This applies to when the camera pans left or right, ie shifts from side to side. The triangle will translate but again the triangle isn't changing at all. It's merely an illusion. Reflections are the same way. Imagine having a piece of glass or a mirror that reflects the image which is an identical copy; although everything is flipped.
Dilations are not isometries because the image is a different size then the pre-image. The same shape is maintained though. Note: the scale factor must be some number other than 1.
another note: "isometry" breaks down into "iso+metry" with "iso" meaning "same" or "equal", and "metry" meaning "measure". So if you had 2 identical yard sticks, then they are isometrical or equal in length.
Area should be 51? (base times height and I divided the shape into two different shapes then added together) and I get 43 for the perimeter...I’m not certain in the perimeter is correct though so I apologize if it is incorrect. I can’t remember if you count the actual bordering red squares or if you only count the while squares AROUND the red squares....
51T+9
51×T+9
These are the answers .. chose anyone because they both mean the same thing but the first one is more sophisticated
as it is a markup, you multiple the cost by 1.12 (the 1 shows that the cost is increasing). the new cost is 8.9488 or $89.95 if you round.
Please, next time, please share the graph referred to in the problem statement.
You are comparing f(x)=2 ln x and g(x) = 4 ln x. The two graphs look the same, except that the amplitude (rise) in 4 ln x is exactly twice that in 2 ln x.
Thus, if 2 ln x = 3, 4 ln x = 2(3) = 6.
