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Tasya [4]
3 years ago
8

The vertices of a triangle are A (0, 2), B(-2,-5), and C(0,5). Find the new vertices.

Mathematics
1 answer:
Umnica [9.8K]3 years ago
3 0

Answer:

see explanation

Step-by-step explanation:

Given the translation rule

(x, y ) → (x + 3, y - 2 )

This means add 3 to the original x- coordinate and subtract 2 from the original y- coordinate, thus

A(0, 2 ) → A'(0 + 3, 2 - 2 ) → A'(3, 0 )

B(- 2, - 5 ) → B'(- 2 + 3, - 5 - 2 ) → B'(1, - 7 )

C(0, 5 ) → C'(0 + 3, 5 - 2 ) → C'(3, 3 )

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CaHeK987 [17]

Answer:

a(n) = (3/5)a(n-1), where a(1) = 10 and n is 2 or greater.

Step-by-step explanation:

determine the common factor...The first term (10) by 3/5 results in the given second term (6); the third term is 3/5 of the second term (6), resulting in 18/5 (equivalent to 36/10 or 3.6/1, or just 3.6. Resulting in a(n) = (3/5)a(n-1).

the third term is 3.6, which, if mult. by (3/5), produces 2.16, as expected.

Thus, the recursive formula for this geometric sequence is a(n) = (3/5)a(n-1).

This is good only for a(1) = 10 and n = 2, 3, ....

Hope this helps you

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4 years ago
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