Answer:
a 90° counterclockwise rotation about the origin, and then a dilation by a scale factor of 2
Step-by-step explanation:
At Image I, we have vertex at point (3,-2), and the length of the left side is of 1 unit(from -2 to -3).
In the larger figure, this length is of 2 units, so the dilation has a scale factor of 2 units. The rotation, due to the coordinates changing, is of 90º counterclockwise(if it was across the x-axis, only the y coordinate would change, but on image II, both coordinates change).
So the correct answer is:
a 90° counterclockwise rotation about the origin, and then a dilation by a scale factor of 2
Answer:
32 m
Step-by-step explanation:
Height of mast = 96tan30
Distance of second point = 96tan30 / tan60
Distance = 32 m
Answer:
Between 10 and 11.
Step-by-step explanation:
To begin, we can look at the problem as such. If we take the first answer choice, we can find the squares of both numbers giving us: (Remember that the area of a square is A=L²)
10²= 100
11²= 121
Since the given area is in between these two numbers, this means that the side length must be between 10 and 11.
Answer:
D
Step-by-step explanation:
y=2x²+2x+1.... i
y=2x+3......... ii
Equating i and ii,
2x²+2x+1=2x+3
2x²+1-3=0
2x²-2=0
x²-1=0
x=1 or -1.
From ii, if x=1,y=5
If x=-1, y=1.
The points are (-1,1) and (1,5)
