Fill in the blank (correctly). 20 points each.
1 answer:
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Answer:
See explanation
Step-by-step explanation:
The question is incomplete, as the diagram of coordinates of the three triangles are not given.
A general explanation is as follows:
First, record the coordinates of the corresponding points of the three triangles.
For instance; In triangles ABC, DEF and GHI; A, D and G are corresponding points.
Now, assume the coordinates are:
Point D is 4 points to the right of A;
i.e.
Hence, ABC will be moved 4 units right to lie on DEF
Similarly, point G is 3 units down of A
i.e.
Hence, ABC will be moved 3 units down to lie on GHI.
The explicit formula is a(n) = 15(n – 10)
<u>Solution:</u>
Given, a term a(19) = 135 and common difference d = 15
We have to find the explicit formula.
Now, we know that, a(n) = a + (n – 1)d where a(n) is nth term, a is first term, d is common difference,
So, for a(19)
Now, we know that, an explicit formula is an expression for finding the nth term,
So, in our problem, expression for finding nth term is a + (n – 1)d
Hence, the explicit formula is a(n) = 15(n – 10).