Answer:
A 256/3
Step-by-step explanation:
1/3 * 4^4 =
1/3 * (4*4*4*4) =
1/3 * 256 = 256/3
Answer:
D. 45 degree counterclockwise rotation
Step-by-step explanation: :
The original image is triangle TUV and it has been rotated counter clockwise to form triangle T'U'V' using the origin as the center of rotation. . The rotation is 45 degrees rotation.
Hence, option B is correct.
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Answer:
160/100=1.6
Step-by-step explanation:
Answer:
E is not a subspace of 
Step-by-step explanation:
E is not a subspace of
In order to see this, we must find two points (a,b), (c,d) in E such that (a,b) + (c,d) is not in E.
Consider
(a,b) = (1,1)
(c,d) = (-1,-1)
It is easy to see that both (a,b) and (c,d) are in E since 1*1>0 and (1-)*(-1)>0.
But (a,b) + (c,d) = (1-1, 1-1) = (0,0)
and (0,0) is not in E.
By the way, it can be proved that in any vector space all sub spaces must have the vector zero.
Answer:
the slope is 1/2
Work:
if the x-coordinate is two times the y-coordinate, that means you are going up one over two each time
slope= y2-y1/x2-x1
so you can pick two points, like (2, 1) and (4,2) and use the formula
slope= 2-1/4-2= 1/2
