What is the mode of 5, 12, 11, 5, 6, 19, 5, 7, 8, 6, 5, 11, 8?<br><br>
8<br>
5<br>
11
Alinara [238K]
The mode is the most common number in the list.
I see four 5s, which is more than two 11s or two 8s or two 6s or one of everything else.
Answer: 5
Answer:
3k+4.7
Step-by-step explanation:
1) another way of writing it would be -1(-3k) + -1(-4.7)
2) Negative times a Negative is always positive so -1(-3k)= 3k.
2) Negative times a Negative is always positive so -1(-4.7)= 4.7
3) final answer: 3k+4.7
Hope I helped you!
Answer:
C. not similar, dilations are involved
Step-by-step explanation:
For geometric figures, such as triangles, we generally study a couple of kinds of transformations.
One is the "rigid transformation" which lets us move, rotate, or reflect the figure any way we like, but we keep it the same size—as though it were cut from cardboard or anything else that holds its shape and size. Any figures transformed by a rigid transformation are <em>congruent</em>.
Another is very much like the "rigid transformation", but <em>dilation</em> is involved. That is, the figure is allowed to be stretched or shrunk <u>uniformly</u> (by the same factor in every direction). Figures transformed in this way are <em>similar</em>, but are not congruent.
In this diagram, your triangle has been reflected and <em>changed in size</em> by a different factor horizontally than vertically. Hence <em>dilation</em> is involved (answer choices A or C), but because the factors are different, the figures are <em>not similar</em> (answer choice C).
_____
<em>Comment on the answer choices</em>
Rotations may be involved in similarity transformations, too. For some reason, that possibility was left off of choices A and C. (On the other hand, rotation is equivalent to a suitable set of reflections.)