Match each of the following with the correct statement. A. The series is absolutely convergent. C. The series converges, but is not absolutely convergent. D. The series diverges.1. Sigma infinity _n=1 ((n+4)n/2n) 2. Sigma infinity _n=1 ((n+4)n/2n^2)
3. Sigma infinity _n=1 ((â7n)n/n3n)
4. Sigma infinity _n=1 (â1)n+1((4+n)4n/(n2)42n)
5. Sigma infinity _n=1 (â1)nnâ1ln(n+3)
6. Sigma infinity _n=1(n5/7â9n2)n

b, i believe, but not sure.

isocolese triangle

we know that the line connect a and b is the hyptonuse

so first find the hypotonuse length using the distance formula, call the length c

since it is an isocolese triangle, the lengths of the legs are the same

using pythagorean theorem,

in this case, a=b since isocolese triangle so we get

or

we can find c so we can find the distances

we know that if we draw 2 circles, each has center at a and b, and find where they intersect, we can the 2 possible locations for c

if a has center at (xa,ya) and b has center at (xb,yb), then we can solve where

and

intersect to find where they intersect

i'm not going to put an example because i have to go to class. i hope this explanation is enough