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.
Answer:
4
Step-by-step explanation:
You just have to divide the money he has by the ticket price.
The answer to that division is 4.5, but he can't buy half ticket, so the answer is 4
Answer:
if 1cm is for 1km there are 12km
Step-by-step explanation:
it can depend on the size of the map but if there is a scale which shows how many km per cm then multiply by 12
Answer:
84
Step-by-step explanation:
<u>Order of operations (Parentheses first, exponents next, then multiplication, etc.)</u>
-3 * -2 = 6
<u>Multiply</u>
7 * 6 = 42
42 * 2 = 84
Answer:
Exact Form:
21/25
Decimal Form:
0.84
Step-by-step explanation:
<em>Reduce the expression, if possible, by cancelling the common factors.</em>
