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2 answers:
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Answer: The correct option is
(A) The scale factor is 0.8 and the coordinates of point B" are (–3.2, –4.8).
Step-by-step explanation: Given that the segment AB is being dilated to A''B'' with the center at the origin. The image of A, point A" has coordinates of (3.2, 6.4).
We are to find the scale factor of the dilation and the co-ordinates of the point B''.
From the given graph, we note that
the co-ordinates of point A are (4, 8).
Now, If S is the scale factor of dilation, then we must have
So, the scale factor is 0.8.
Now, the co-ordinates of point B are (-4, -6). So, the co-ordinates of B'' will be
Thus, the correct option is
(A) The scale factor is 0.8 and the coordinates of point B" are (–3.2, –4.8).
Answer: 1,376
Step-by-step explanation: All we need to do is take our explicit formula and plug in the information we need to know for the problem.
Explicit formula -
We are trying to find the 77th term of this sequence so we first have .
We know is 8 because that's the first term in our arithmetic sequence.
The variable <em>n</em> represents the number of terms we're trying to solve for which is 77. So that will be 77 - 1 and then we are going to multiply that by our common difference which is 18.
So plugging into the formula, we have
So now we can go ahead and simplify this
information and see what we get.
So simplifying inside parentheses first, we get 76 and we multiply that by 18 to get 1,368.
So therefore we have which is 1,376.