9514 1404 393
Answer:
d) -4 ≤ x ≤ 1.5
Step-by-step explanation:
The domain is the horizontal extent of the graph. Here, it goes from about x=-4 to about x = 1.5.
There are solid dots on both ends of the line segment, so the inequality will use ≤ for both limits. The domain is ...
-4 ≤ x ≤ 1.5
The factors of 117 are: 1, 3, 9, 13, 39, and 117
The factors of 99 are: 1, 3, 9, 11, 33, and 99
The factors of 126 are: 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, and 126
The greatest common factors of 117, 99, and 126 are: 1, 3, and 9. And according to your answer choices your answer is C. 9
Step-by-step explanation:
The translation vector v can be resolved into its x and y components, where x² + y² = 10 (Pythagoras' Theorem) and y = 3x
(parallel to y = 3x - 2, slope = 3).
We have x² + (3x)² = 10,
=> x² + 9x² = 10, 10x² = 10, x = 1 or x = -1.
When x = 1, y = 3. When x = -1, y = -3.
Therefore 2 possible translation vectors
are (1, 3) or (-1, -3).
First new C' = (2 + (1), 3 + (3)) = (3, 6).
Second new C'= (2 + (-1), 3 + (-3)) = (1, 0).
The possible images are (3, 6) and (1, 0).
