Answer:
The pattern is that, every time a 9 is added. This pattern continuous forever.
Step-by-step explanation:
9 X 1 = 9
9 X 2 = 18 (9+9)
9 X 3 = 27 (9+9+9)
Etc.
Answer:y = 3x + 2
Step-by-step explanation: y = mx + b
Where m is the slope and b is the y-intercept.
Answer:
57 and a remainder of 1 or 0.11.
Step-by-step explanation:
514dividedby9=57.1
Answer:
See below
Step-by-step explanation:
Solve x-5y=6 for x
First, we need to isolate the x by moving -5y to the other side.
To do this, we need to add 5y to both sides
x - 5y= 6
+5y +5y
x= 5y+6
So, your third answer is correct
Answer:
- The sequence of transformations that maps triangle XYZ onto triangle X"Y"Z" is <u>translation 5 units to the left, followed by translation 1 unit down, and relfection accross the x-axis</u>.
Explanation:
By inspection (watching the figure), you can tell that to transform the triangle XY onto triangle X"Y"Z", you must slide the former 5 units to the left, 1 unit down, and, finally, reflect it across the x-axys.
You can check that analitically
Departing from the triangle: XYZ
- <u>Translation 5 units to the left</u>: (x,y) → (x - 5, y)
- Vertex X: (-6,2) → (-6 - 5, 2) = (-11,2)
- Vertex Y: (-4, 7) → (-4 - 5, 7) = (-9,7)
- Vertex Z: (-2, 2) → (-2 -5, 2) = (-7, 2)
- <u>Translation 1 unit down</u>: (x,y) → (x, y-1)
- (-11,2) → (-11, 2 - 1) = (-11, 1)
- (-9,7) → (-9, 7 - 1) = (-9, 6)
- (-7, 2) → (-7, 2 - 1) = (-7, 1)
- <u>Reflextion accross the x-axis</u>: (x,y) → (x, -y)
- (-11, 1) → (-11, -1), which are the coordinates of vertex X"
- (-9, 6) → (-9, -6), which are the coordinates of vertex Y""
- (-7, 1) → (-7, -1), which are the coordinates of vertex Z"
Thus, in conclusion, it is proved that the sequence of transformations that maps triangle XYZ onto triangle X"Y"Z" is translation 5 units to the left, followed by translation 1 unit down, and relfection accross the x-axis.
