Find x. Multiple choice answers are below!
1 answer:
Answer:
Step-by-step explanation:
To find x, we can use the Pythagorean Theorem. As this triangle is made up of 2 right triangles. As the length of both right triangles is 10, the length of one will be 5.
Now that we have 2 sides of the right triangle, we can use the Pythagorean Theorem to solve for x
Lastly, we can simplify this radical to
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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.