Answer:
C. 1
Step-by-step explanation:
We can see that each box in the grid is one unit.
We count one box to the right on the horizontal axis and 4 boxes down on the vertical axes to obtain the components of vector v.
See graph in attachment.
Therefore the components of vector v is
.
The length of the x component is 1 unit
Hence the correct answer is C.
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.
I assume that you typed even twice and 6 twice. Since there are only 5 numbers smaller than 6, the probability is 5/6. Please mark Brainliest!!!
Using addition
x-y+1/2x+y=1+5
x+1/2x+0y=6
3/2x=6
3x=12
x=4
Using the value of x
x-y=1
4-y=1
y=3
With x as 4 and y as 3, their product is 12
And can be written as (4,3)
Because x1 = x2 = -8 the line is vertical.
The slope of a vertical line is undefined.
