Answer:
30 and 26
Step-by-step explanation:
30 plus 26 is 55
30 minus 26 is 4
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:
A)(4,9)
B)(6,3)
C)(1,3)
D) (8,7)
E)(8,9)
Step-by-step explanation:
well, for creating points, it gets set up as (x,y) which it lays out in perfet format, and if you need help graphing, i can try and create it.
Answer:
1.8 gallons would be used.
Step-by-step explanation:
TOTAL AREA TO BE PAINTED:
2 x 10 x 20 + 2 x10x 16 = 720 ft2
720 ft2 / 400 ft2 /gal = 1.8 gal
Translate that into an equation, and we get:
a+b = 24
a-b = 15
If we add these two equations, we get:
2a = 39
a = 39/2 = 19.5
Plug back in a = 19.5 and solve for b
a + b = 24
19.5 + b = 24
b = 4.5
The two numbers are 19.5 and 4.5.
