Answer:
diameter = 4√17;
radius = 2√17; and
center: (4,6)
Step-by-step explanation:
The end points J (12,4) and K(-4,8) define the diameter of a circle, as well as the radius and center.
Using the distance formula to find the diameter, d, we get:
d = √ ( (12+4)^2 + (4-8)^2 ) = √ ( 256 + 16 ), or √272 = √(8)(34)
= √(17)(2^4)) = 4√17
and the radius is half that, or 2√17. The coordinates of the center can be found using the midpoint rule: ( [12-4]/2, [4+8]/2 ), or (4, 6).
A
C
F
E
do you need examples
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:
23/30
Step-by-step explanation:
add them together