Answer:18
Step-by-step explanation:
Note: Mathematicians start counting at 1, so by convention, n=1 is the first term. So we must define what the first term is. Then we have to figure out and include the common difference.
Taking a look at the examples again,
Sequence: 1, 2, 3, 4, … | Formula: a(n) = n + 1 | Recursive formula: a(n) = a(n-1) + 1, a(1) = 1
Sequence: 3, 8, 13, 18, … |Formula: b(n) = 5n - 2 | Recursive formula: b(n) = b(n-1) + 5, b(1) = 3
Answer:
B' = (-4, -4)
Step-by-step explanation:
<u>Dilation</u>: A type of transformation that makes the pre-image larger or smaller without changing its shape.
<u>Center of a dilation</u>: a fixed point about which all points are dilated.
Given:
- A = (1, 2)
- B = (-1, -1)
- C = (0, -2)
- Scale factor = 4
For dilation when the <u>center of dilation</u> is the origin (0, 0), simply multiply the coordinates of the vertices of the pre-image by the given scale factor to find the image under dilation:
Therefore:
A' = (1 x 4, 2 x 4) = (4, 8)
B' = (-1 x 4, -1 x 4) = (-4, -4)
C' = (0 x 4, -2 x 4) = (0, -8)
You have to distribute the 4 to the numbers in the parenthesese. So 4 times 3x which is 12x and 4 times 5 which is 20 so now you get 12x plus 20 equals 8. Now you have to subtract 20 from 8 which is -12 so now you have 12x=-12 now divide the 12 from x and 12 from -12 and so now you have x=-1
Answer:
b
Step-by-step explanation:
