Answer: The location of A is (-7, 2)
Step-by-step explanation:
When ABCD is rotated 180 degree clockwise about the origin,
Then, By the rotation of 180 degree about origin property,
The coordinates of the transformed kite,
Thus, the coordinates of transformed figure after 180 degree of rotation are ( 7,-2), (5,-3), (2, -2) and (5,-1)
By the reflection over y-axis property,
The coordinates of the transformed kite,
Thus, the coordinates of transformed figure after reflected over y axis,
( -7,-2), (-5,-3), (-2, -2) and (-5,-1)
By the reflection over x-axis property,
The coordinates of the transformed kite,
Thus, the coordinates of transformed figure after reflected over x axis,
( -7,2), (-5,3), (-2, 2) and (-5,1)
Thus, the location of A after the transformations are complete = (-7,2)
Answer:
8x * sqrt(5x)
Step-by-step explanation:
Factor 320 into its prime factors: (2^6) * 5
To simplify sqrt we extract factors which are squares and the rest remain inside the root: (2^6) will be extracted (2^6=64) and 5 will remain inside
Take sqrt of factors being extracted: sqrt64= 8
Now it looks like this: 8 * sqrt(5x^3)
SQRT(x^3) is the same as x * SQRT(x)
Therefore, sqrt (320x^3)= 8x*sqrt(5x)
(B) -3
(C) (1/3)
(D) 3