Answer:
Between the first option and the last option.
Step-by-step explanation:
first choice: c, a, d, b, e
last/fourth choice: a,c,d,b,e
Answer:
18 sq. unit
you can draw it on no. line
actually it's rectangle with l=3 and b=6
Total time spent reading is = 8/9 hour
He spends 1/4 of the time reading world news. That is = 1/4 * 8/9 = 2/9 hour
Splits the remaining time equally. Remaining time = 8/9 - 2/9 = 6/9
Splitting it equally = 6/9 divided by 2 = 6/9 * 1/2 = 3/9 = 1/3
Time spent reading comic is = 1/3 hour
I hope this helps.
Answer:
Expand: x² + 11x + 11x + 121
Simplify: x² + 22x + 121
Step-by-step explanation:
To expand this, you can use the FOIL technique:
First terms
Outer terms
Inner terms
Last terms
(x+11)(x+11)
F - x*x = x²
O - x*11 = 11x
I - 11*x = 11x
L - 11*11 = 121
Put these numbers together (expanded) to get:
x² + 11x + 11x + 121
Put the common terms together (simplify) to get:
x² + 22x + 121
Note:
Not sure if you need this info, but (x + 11)(x + 11) is the same as (x + 11)².
The numbers need to be in the order I put them in because you are supposed to place them in order greatest to least degree.
Hope it helps!
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.